**** Announced already **** Daoqi Yang C++ and Object Oriented Numeric Computing for Scientists and Engineers Springer-Verlag, New York, 2001 ------------------------------------------------------------------------------- MULTIGRID by: U. Trottenberg, C.W. Oosterlee and A. Sch"uller GMD Institute for Algorithms and Scientific Computing (SCAI) Sankt Augustin, Germany Academic Press, London, 2000, 640 p. ISBN 0-12-701070-X Hardcover $ 69.95 (46.95 British Pounds), (recommended retail price) ------------------------------------------------------------------------------- "Structured Adaptive Mesh Refinement (Samr) Grid Methods (Ima Volumes in Mathematics and Its Applications, Vol 117)" by Scott B. Baden Subjects: Multigrid methods ; Congresses; Parallel processing ; Numerical Analysis; Parallel Processing; Statistics; Mathematics; Computers Publisher: Springer Verlag Binding: Hardcover Expected publication date: November 1999 ISBN: 0387989218 ------------------------------------------------------------------------------- Numerical Linear Algebra with Applications Volume 7, Issue 6, 2000 Multigrid techniques for finite elements on locally refined meshes R.Becker and M. Braack (pp. 363-379) A new nonoverlapping domain decomposition method for stabilized finite element methods applied to the nonstationary Navier-Stokes equations G. Lube, L. M\"uller and H. M\"uller (pp. 449-472) CFD for incompressible flow: numerical efficiency versus gigaflops S. Turek (pp. 473-482) ------------------------------------------------------------------------------- Numerical Linear Algebra with Applications Volume 7, Issue 7-8, 2000 LQ-Schur projection on large sparse matrix equations D. Boley and T. Goehring (pp. 491-503) AILU: A preconditioner based on the analytic factorization of the elliptic operator M.J. Gander and F. Nataf (pp. 505-526) Preconditioning by incomplete block elimination L. Grosz (pp. 527-541) An incomplete LU-factorization algorithm based on block bordering L. Yu Kolotilina, A.A. Nikishin, and A. Yu. Yeremin (pp. 543-567) The DEFLATED-GMRES(m,k) method with switching the restart frequency dynamically K. Moriya and T. Nodera (pp. 569-584) Block-diagonal and indefinite symmetric preconditioners for mixed finite element formulations I. Perugia and V. Simoncini (pp. 585-616) Repairing near-singularity for dense EMC problems by adaptive basis techniques M. Verbeek (pp. 617-634) Part II: Algorithms and Applications ------- Parallel block ILUT/ILDLT preconditioning for sparse eigenproblems and sparse linear systems A. Basermann (pp. 635-648) A parallel linear system solver for circuit simulation problems W. Bomhof and H. van der Vorst (pp. 649-665) Sparse pattern selection strategies for robust Frobenius norm minimization preconditioners in electromagnetism B. Carpentieri, I.S. Duff, and L. Giraud (pp. 667-685) A scalable dual-primal domain decomposition method Ch. Farhat, M. Lesoinne, and K. Pierson (pp. 687-714) Efficient preconditioning scheme for block partitioned matrices with structured sparsity B. Poirier (pp. 715-726) Interface preserving coarsening Multigrid for elliptic problems with highly discontinuous coefficients W. L. Wan (pp. 727-741) Preconditioning strategies for linear systems arising in tire design M. Sosonkina, J.T. Melson, Y. Saad and L.T. Watson (pp. 743-757) ------------------------------------------------------------------------------- C. T. H. Everaars, B. Koren and F. Arbab, `Dynamic process composition and communication patterns in irregularly structured applications', {\em Concurrency: Practice and Experience}, {\bf 12}, 157--174 (2000). C. T. H. Everaars and B. Koren, `Using coordination to parallelize sparse-grid methods for 3D CFD problems', {\em Parallel Computing}, {\bf 24}, 1081--1106 (1998). B. Koren, `Improving Euler computations at low Mach numbers', {\em International Journal of Computational Fluid Dynamics}, {\bf 6}, 51--70 (1996). H. T. M. van der Maarel, P. W. Hemker, B. Koren and J.A. Michelsen, `Application of a solution-adaptive multigrid method to the Euler equations', {\em CWI Quarterly}, {\bf 6}, 49--75 (1993). H. T. M. van der Maarel and B. Koren, `Spurious, zeroth-order entropy generation along a kinked wall', {\em International Journal for Numerical Methods in Fluids}, {\bf 13}, 1113--1129 (1991). B. Lastdrager, B. Koren and J. G. Verwer, `The sparse-grid combination technique applied to time-dependent advection problems', Proceedings of the {\em Sixth European Multigrid Conference}, Gent, 1999, {\em Lecture Notes in Computational Science and Engineering}, {\bf 14}, 143--149 (E. Dick, K. Riemslagh and J. Vierendeels, eds.), Springer, Berlin (2000). C. T. H. Everaars, B. Koren and F. Arbab, `Dynamic process composition and communication patterns in irregularly structured applications', Proceedings of the {\em 10th Symposium on Parallel and Distributed Processing}, San Juan, Puerto Rico, 1999, {\em Lecture Notes in Computer Science}, {\bf 1586}, 1046--1054 (J. Rolim et al., eds.), Springer, Berlin (1999). B. Koren, P. W. Hemker and C. T. H. Everaars, `Sparse-grid solution of the steady Euler equations of gas dynamics', {\em Computational Fluid Dynamics '98}, {\bf 2}, Invited Lectures, Minisymposia and Special Technological Sessions of the {\em Fourth European Computational Fluid Dynamics Conference}, Athens, 252--257 (K.D. Papailiou, D. Tsahalis, J. P\'{e}riaux and D. Kn\"{o}rzer, eds.), Wiley, Chichester (1998). B. Koren, P. W. Hemker and C. T. H. Everaars, `Multiple semi-coarsened multigrid for 3D CFD', Proceedings of the {\em 13th AIAA Computational Fluid Dynamics Conference}, Snowmass Village, CO, 892--902 (AIAA-paper 97-2029), American Institute of Aeronautics and Astronautics, Reston, VA (1997). H. Deconinck and B. Koren, `Algorithm development in CFD: multidimensional upwinding and multiple semi-coarsening multigrid', {\em Computational Methods in Applied Sciences '96}, Invited Lectures and Special Technological Sessions of the {\em Third ECCOMAS Computational Fluid Dynamics Conference and the Second ECCOMAS Conference on Numerical Methods in Engineering}, Paris, 496--502 (J.-A. D\'esid\'eri, C. Hirsch, P. Le Tallec, E. O\~{n}ate, M. Pandolfi, J. P\'eriaux and E. Stein, eds.), Wiley, Chichester (1996). H. T. M. van der Maarel and B. Koren, `Entropy errors in the numerical approximation of the Euler flow along a kinked wall', Proceedings of the {\em First National Mechanics Congress}, Kerkrade, 1990, {\em Integration of Theory and Applications in Applied Mechanics}, 315--328 (J.F. Dijksman and F.T.M. Nieuwstadt, eds.), Kluwer, Dordrecht (1990). P. W. Hemker, B. Koren, W. M. Lioen, M. Nool and H. T. M. van der Maarel, `Solution-adaptive multigrid for steady gas dynamics problems', in: {\em 28th Computational Fluid Dynamics}, (H. Deconinck, ed.), {\em VKI LS 1997-02}, Von Karman Institute for Fluid Dynamics, Rhode-Saint-Gen\`{e}se (1997). P. W. Hemker, B. Koren, W. M. Lioen, M. Nool and H. T. M. van der Maarel, `Multigrid for steady gas dynamics problems', in: {\em Euler and Navier-Stokes Solvers Using Multi-Dimensional Upwind Schemes and Multigrid Acceleration} (H. Deconinck and B. Koren, eds.), European Community Research in Aeronautics, {\em Notes on Numerical Fluid Mechanics}, {\bf 57}, 393--417, Vieweg, Braunschweig (1997). P. W. Hemker, B. Koren and J. Noordmans, `3D multigrid on partially ordered sets of grids', in: {\em 28th Computational Fluid Dynamics}, (H. Deconinck, ed.), {\em VKI LS 1997-02}, Von Karman Institute for Fluid Dynamics, Rhode-Saint-Gen\`{e}se (1997). B. Koren, P. W. Hemker and P. M. de Zeeuw, `Semi-coarsening in three directions for Euler-flow computations in three dimensions', in: {\em Euler and Navier-Stokes Solvers Using Multi-Dimensional Upwind Schemes and Multigrid Acceleration} (H. Deconinck and B. Koren, eds.), European Community Research in Aeronautics, {\em Notes on Numerical Fluid Mechanics}, {\bf 57}, 547--567, Vieweg, Braunschweig (1997). B. Koren and B. van Leer, `Improving Euler computations at low Mach numbers', in: {\em Euler and Navier-Stokes Solvers Using Multi-Dimensional Upwind Schemes and Multigrid Acceleration} (H. Deconinck and B. Koren, eds.), European Community Research in Aeronautics, {\em Notes on Numerical Fluid Mechanics}, {\bf 57}, 419--441, Vieweg, Braunschweig (1997). P. W. Hemker and B. Koren, `Defect correction and nonlinear multigrid for the steady Euler equations', in: {\em Solution Techniques for Large-Scale CFD Problems}, (W.G. Habashi, ed.), 273--291, Wiley, Chichester (1995). P. W. Hemker and B. Koren, `Defect correction and nonlinear multigrid for steady Euler equations', in: {\em Computational Fluid Dynamics Techniques} (W.G. Habashi and M.M. Hafez, eds.), 699--718, Gordon and Breach, Basel (1995). P. W. Hemker, B. Koren, W. M. Lioen, M. Nool and H. T. M. van der Maarel, `Multigrid for steady gas dynamics problems', in: {\em Computational Fluid Dynamics Review 1995} (M. Hafez and K. Oshima, eds.), 477--494, Wiley, Chichester (1995). J.-A. D\'{e}sid\'{e}ri, P. W. Hemker, B. Koren and M.-H. Lallemand, `Research in computational fluid dynamics, stimulated by ERCIM', in: {\em From Universal Morphisms to Megabytes: A Baayen Space Odyssey} (K.R. Apt, A. Schrijver and N.M. Temme, eds.), 269--286, CWI, Amsterdam (1994). B. Koren, `Multigrid and defect correction for the steady Navier-Stokes equations, application to aerodynamics', {\em CWI Tracts}, {\bf 74}, CWI, Amsterdam (1991). %ISBN 90 6196 391 5. H. Deconinck and B. Koren (eds.), `Euler and Navier-Stokes Solvers Using Multi-Dimensional Upwind Schemes and Multigrid Acceleration', European Community Research in Aeronautics, {\em Notes on Numerical Fluid Mechanics}, {\bf 57}, Vieweg, Braunschweig (1997). ISBN 3-528-06957-0. ------------------------------------------------------------------------------- @ARTICLE{thor:acm-96, AUTHOR = "T. Gjesdal", TITLE = "A Note on the Additive Correction Multigrid Method", JOURNAL = "International Communications in Heat and Mass Transfer", VOLUME = "23", PAGES = "293--298", YEAR = "1996" } @ARTICLE{thor+magni:pcorr-mg-97, AUTHOR = "T. Gjesdal and M. E. H. Lossius", TITLE = "Comparison of Pressure Correction Smoothers for Multigrid Solution of Incompressible Flow.", JOURNAL = "Int. J. Numer. Methods Fluids", VOLUME = "25", PAGES = "393--405", YEAR = "1997" } @ARTICLE{thor:pattern-97, AUTHOR = "T. Gjesdal", TITLE = "Smoothing Analysis of Multicolour Pattern Schemes", JOURNAL = "J. Comput. Appl. Math.", VOLUME = "85", PAGES = "345--350", YEAR = "1987" } % NOTE: this one is not really multigrid, but there is a nice parallel to % defect corrections, so I'll leave it in anyway @ARTICLE{TGjesdal_RTeigland_1998a, AUTHOR = "T. Gjesdal and R. Teigland", TITLE = "Accuracy and stability of semi-implicit finite difference advection schemes", JOURNAL = "Commun. Numer. Meth. Engng.", VOLUME = "14", PAGES = "647-655", YEAR = "1998" } % NOTE: this one is already in mgnet.bib (6 Nov 2000), but there is a typo in the title @INPROCEEDINGS{thor:dc-98, AUTHOR = "T. Gjesdal", TITLE = "Accuracy and Convergence of Defect Correction in an Incompressible Multigrid Solver Based on Pressure Correction Smoothers", PAGES = "90--104", EDITOR = "W. Hackbusch and G. Wittum", BOOKTITLE = "Multigrid Methods V", SERIES = "Lecture Notes in Computational Science and Engineering", PUBLISHER = "Springer Verlag", YEAR = "1998" } @INPROCEEDINGS{thor:eccomas-98, AUTHOR = "T. Gjesdal", TITLE = "Local Grid Refinement Method for Improved Gas Safety Analysis", VOLUME = "1", PART = "1", PAGES = "398--402", EDITOR = "K. D. Papailiou and D. Tsahalis and J. P\'{e}riaux and C. Hirsch and M. Pandolfi", BOOKTITLE = " Computational Fluid Dynamics '98: (Proceedings of the Fourth ECCOMAS Conference on Computational Fluid Dynamics)", PUBLISHER = "John Wiley \& Sons", YEAR = "1998" } @ARTICLE{thor:cvs-2000, AUTHOR = "T. Gjesdal", TITLE = "Local Grid Refinement for Improved Description of Leaks in Industrial Gas Safety Analysis", JOURNAL = "Computing and Vizualisation in Science", VOLUME = "3", PAGES = "25--32", YEAR = "2000" } ------------------------------------------------------------------------------- Numerical Treatment of Multiphase Flows in Porous Media, Zhangxin Chen, Richard E. Ewing, and Z.-C. Shi, Eds. Lecture Notes in Physics, Vol. 552, Springer-Verlag, Berlin, 2000 Introduction--Mathematical and Numerical Techniques in Energy and Environmental Modeling, Zhangxin Chen and Richard E. Ewing, 1--21 Domain Decomposition for Some Transmission Problems in Flow in Porous Media, Clarisse Alboin, Jerome Jaffre, Jean E. Roberts, Xuewen Wang, and Christophe Serres, 22--34 Numerical Subgrid Upscaling of Two-Phase Flow in Porous Media, Todd Arbogast, 35--49 Numerical Simulation of Multiphase Flow in Fractured Porous Media, Peter Bastian, Zhangxin Chen, Richard E. Ewing, Rainer Helmig, Hartmut Jakobs, and Volker Reichenberger, 50--68 The Modified Method of Characteristics for Compressible Flow in Porous Media, Aijie Cheng and Gaohong Wang, 69--79 A Numerical Algorithm for Single Phase Fluid Flow in Elastic Porous Media, Hongsen Chen, Richard E. Ewing, Stephen L. Lyons, Guan Qin, Tong Sun, and David P. Yale, 80--92 On the Discretization of Interface Problems with Perfect and Imperfect Contact, Tatiana Chernogorova, Richard E. Ewing, Oleg Iliev, and Raytcho~Lazarov, 93--103 Finite Element Analysis for Pseudo-Hyperbolic Integral-Differential Equations, Xia Cui, 104--115 A CFL-Free Explicit Scheme with Compression for Linear Hyperbolic Equations, Ronald A. DeVore, Hong Wang, Jiang Guo Liu, and Hong Xu, 116--123 Maximizing Cache Memory Usage for Multigrid Algorithms for Applications of Fluid Flow in Porous Media, Craig C. Douglas, Jonathan Hu, Mohamed Iskandarani, Markus Kowarschik, Ulrich Rude, and Christian Weiss, 124--137 A Locally Conservative Eulerian-Lagrangian Method for Flow in a Porous Medium of a Mixture of Two Components Having Different Densities, Jim Douglas, Jr., Felipe Pereira, and Li Ming Yeh, 138--155 Validation of Non-Darcy Well Models Using Direct Numerical Simulation, Vladimir A. Garanzha, Vladimir N. Konshin, Stephen L. Lyons, Dimitrios V. Papavassiliou, and Guan Qin, 156--169 Mathematical Treatment of Diffusion Processes of Gases and Fluids in Porous Media, Norbert Herrmann, 170--178 Implementation of a Locally Conservative Eulerian-Lagrangian Method Applied to Nuclear Contaminant Transport, Chieh Sen Huang and Anna M. Spagnuolo, 179--189 Application of a Class of Nonstationary Iterative Methods to Flow Problems, Xiuren Lei and Hong Peng, 190--194 Reservoir Thermal Recover Simulation on Parallel Computers, Baoyan Li and Yuanle Ma, 195--207 A Class of Lattice Boltzmann Models with the Energy Equation, Yuanxiang Li, Shengwu Xiong, and Xiufen Zou, 208--215 Block Implicit Computation of Flow Field in Solid Rocket Ramjets, Zhibo Ma and Jianshi Zhu, 216-221 Stable Conforming and Nonconforming Finite Element Methods for the Non-Newtonian Flow Pingbing Ming and Zhong Ci Shi, 222--232 Numerical Simulation of Compositional Fluid Flow in Porous Media, Guan Qin, Hong Wang, Richard E. Ewing, and Magne S. Espedal, 232--243 Parallelization of a Compositional Reservoir Simulator, Hilde Reme, Geirge Oye, Magne S. Espedal, and Gunnar E. Fladmark, 244--266 Relationships Among Some Conservative Discretization Methods, Thomas F. Russell, 267--282 Parallel Methods for Solving Time-Dependent Problems Using the Fourier-Laplace Transformation, Dongwoo Sheen, 283--291 Cascadic Multigrid Methods for Parabolic Pressure Problems Zhong Ci Shi and Xuejun Xu, 292--298 Estimation in the Presence of Outliers: The Capillary Pressure Case, Sam Subbey and Jan Erik Nordtvedt, 299--310 A Comparison of ELLAM with ENO/WENO Schemes for Linear Transport Equations, Hong Wang and Mohamed Al Lawatia, 311--323 An Accurate Approximation to Compressible Flow in Porous Media with Wells, Hong Wang, Dong Liang, Richard E. Ewing, Stephen L. Lyons, and Guan Qin, 324--323 Fast Convergent Algorithms for Solving 2-D Integral Equations of the First Kind, Yan Fei Wang and Ting Yan Xiao, 333--345 A Two-Grid Finite Difference Method for Nonlinear Parabolic Equations, Ziting Wang and Xianggui Li, 345--350 A Compact Operator Method for the Omega Equation, Francisco R. Villatoro and Jesus Garci a-Lafuente, 351--361 Domain Decomposition Algorithm for a New Characteristic Mixed Finite Element Method for Compressible Miscible Displacement Danping Yang, 362--372 A Boundary Element Method for Viscous Flow on Multi-Connected Domains, Dequan Yang, Tigui Fan, and Xinyu Yang, 373--377 A Characteristic Difference Method for 2D Nonlinear Convection-Diffusion Problems, Xi Jun Yu and Yonghong Wu, 378--389 Fractional Step Methods for Compressible Multicomponent Flow in Porous Media, Yirang Yuan, 390--403 A Model and Its Solution Method for a Generalized Unsteady Seepage Flow Problem, Guoyou Zhang, Tigui Fan, Zhongsheng Zhao, and Dequan Yang, 404--408 Domain Decomposition Preconditioners for Non-selfconjugate Second-Order Elliptic Problems, Huaiyu Zhang and Jiachang Sun, 409--418 Performance of MOL for Surface Motion Driven by a Laplacian of Curvature, Wen Zhang and Ian Gladwell, 419--429 A High-Order Upwind Method for Convection-Diffusion Equations with the Newmann Boundary Condition, Weidong Zhao, 430--441 ------------------------------------------------------------------------------- Numerical Linear Algebra with Applications Volume 7, Issue 1, 2000 A comparison of overlapping Schwarz methods and block preconditioners for saddle point problems A. Klawonn and L. Pavarino (pp.1-25) Further Analysis of Minimum Residual Iterations Y. Saad (pp. 67-93) Approximate inverse preconditioning in the parallel solution of sparse eigenproblems L. Bergamaschi, G. Pini and F. Sartoretto (pp. 99-116) Generalization of convergence conditions for restarted GMRES J. Zitko (pp. 117-131) Real valued iterative methods for solving complex symmetric linear systems O. Axelsson and A. Kucherov (pp. 197-218) An accurate parallel block Gram-Schmidt algorithm without reorthogonalization D. Vanderstraeten (pp. 219-236) A robust algebraic multilevel preconditioner for nonsymmetric M-matrices Y. Notay (pp. 243-267) Almost block diagonal linear systems: sequential and parallel solution techniques, and applications P.Amodio, J,R,Cash, G.Roussos, R.W.Wright, G.Fairweather, I.Gladwell G.L.Kraut and M.Paprzycki (pp. 275-317) ------------------------------------------------------------------------------- C.H. Venner and A.A. Lubrecht Multilevel Methods in Lubrication Elsevier Tribology Series Volume 37, Check 2000 http://www.elsevier.nl/inca/publications/store/6/2/1/2/1/4/ ------------------------------------------------------------------------------- M. Paraschivoiu and X.-C. Cai, A unigrid multi-model full potential and Euler formulation for transonic flows , Proceedings of the Copper Mountain Conference on Multigrid Methods, 1999. R. Aitbayev, X.-C. Cai, and M. Paraschivoiu, Parallel two-level methods for three-dimensional transonic compressible flow simulations on unstructured meshes, Proceedings of Parallel CFD'99, 1999. M. Paraschivoiu, X.-C. Cai, M. Sarkis, D. P. Young, and D. Keyes, Multi-domain multi-model formulation for compressible flows: Conservative interface coupling and parallel implicit solvers for 3D unstructured meshes, AIAA Paper 99-0784, 1999. X.-C. Cai, M. Paraschivoiu, and M. Sarkis, An explicit multi-model compressible flow formulation based on the full potential equation and the Euler equations on 3D unstructured meshes, 11th International Conference on Domain Decomposition Methods, C-H. Lai, P. Bjorstad, M. Cross, O. Widlund, eds., 1999. S. Goossens and X.-C. Cai, Lower dimensional interpolation in overlapping composite mesh difference methods, 11th International Conference on Domain Decomposition Methods, C-H. Lai, P. Bjorstad, M. Cross, O. Widlund, eds., 1999. X.-C. Cai, T. Mathew, and M. Sarkis, Maximum norm analysis of overlapping nonmatching grid discretizations of elliptic equations, SIAM J. Numer. Anal., 37 (2000), pp. 1709-1728. X.-C. Cai and J. Zou, Some observations on the $L^2$ convergence of the additive Schwarz preconditioned GMRES method, Tech Report CU-CS-865-98, Dept. of Comp. Sci., Univ. of Colorado at Boulder, 1998. X.-C. Cai, M. A. Casarin, Jr., F. W. Elliott, Jr., and, O. B. Widlund, Overlapping Schwarz algorithms for solving Helmholtz's equation, Proceedings of the 10th Intl. Conf. on Domain Decomposition Methods, J. Mandel, C. Farhat and X.-C. Cai, eds., AMS, pp. 437-445, 1998. Y. Wu, X.-C. Cai, and D. E. Keyes, Additive Schwarz methods for hyperbolic equations, Proceedings of the 10th Intl. Conf. on Domain Decomposition Methods, J. Mandel, C. Farhat and X.-C. Cai, eds., AMS, pp. 513--521, 1998. X.-C. Cai, C. Farhat, and M. Sarkis, A minimum overlap restricted additive Schwarz preconditioner and applications in 3D flow simulations, The Tenth International Conference on Domain Decomposition Methods for Partial Differential Equations, J. Mandel, C. Farhat and X.-C. Cai, eds, AMS, 1998. X.-C. Cai and M. Sarkis, A restricted additive Schwarz preconditioner for general sparse linear systems, SIAM J. Sci. Comput., 21 (1999), pp. 792-797 X.-C. Cai, M. Dryja, and M. Sarkis, Overlapping non-matching grid mortar element methods for elliptic problems, SIAM J. Numer. Anal., 36 (1999), pp. 581-606. X.-C. Cai, C. Farhat, and M. Sarkis, Variable degree Schwarz methods for the implicit solution of unsteady compressible Navier-Stokes equations on two-dimensional unstructured meshes, ICASE Report No. 96-48, NASA Langley Research Center, 1996. X.-C. Cai, W. D. Gropp, D. E. Keyes, R. G. Melvin, and D. P. Young, Parallel Newton-Krylov-Schwarz algorithms for the transonic full potential equation, SIAM J. Sci. Comput., 19 (1998), pp. 246-265. X.-C. Cai, C. Farhat, and M. Sarkis, Schwarz methods for the unsteady compressible Navier-Stokes equations on unstructured meshes, Domain Decomposition Methods in Sciences and Engineering, R. Glowinski, J. Periaux, Z. Shi and O. Widlund, eds., John Wiley & Sons, Ltd., 1997. X.-C. Cai, D. E. Keyes, and V. Venkatakrishnan, Newton-Krylov-Schwarz: An implicit solver for CFD, Domain Decomposition Methods in Sciences and Engineering, R. Glowinski, J. Periaux, Z. Shi and O. Widlund, eds., John Wiley & Sons, Ltd., 1996. X.-C. Cai and M. Sarkis, Local multiplicative Schwarz algorithms for convection-diffusion equations, East-West J. Numer. Math., 6 (1998). X.-C. Cai, W. D. Gropp, D. E. Keyes, and M. D. Tidriri, Parallel implicit methods for aerodynamics, Seventh International Conference on Domain Decomposition Methods for Partial Differential Equations, D. Keyes, J. Xu, eds., AMS, 1994. X.-C. Cai and M. Dryja, Domain decomposition methods for monotone nonlinear elliptic problems, Seventh International Conference on Domain Decomposition Methods for Partial Differential Equations, D. Keyes, J. Xu, eds., AMS, 1994. X.-C. Cai, W. D. Gropp, D. E. Keyes, and M. D. Tidriri, Newton-Krylov-Schwarz methods in CFD, Proceedings of the International Workshop on the Navier-Stokes Equations, Notes in Numerical Fluid Mechanics, R. Rannacher, eds. Vieweg Verlag, Braunschweig, 1994. X.-C. Cai, The use of pointwise interpolation in domain decomposition methods with non-nested meshes, SIAM J. Sci. 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Bialecki and X.-C. Cai, $H^1$-norm error bounds for piecewise Hermite bicubic orthogonal spline collocation schemes for elliptic boundary value problems, SIAM J. Numer. Anal., 31 (1994), pp. 1128-1146. X.-C. Cai, Multiplicative Schwarz methods for parabolic problems, SIAM J. Sci. Comput., 15 (1994), pp. 587-603. X.-C. Cai, An optimal two-level overlapping domain decomposition method for elliptic problems in two and three dimensions, SIAM J. Sci. Comput., 14 (1993), pp. 239-247. X.-C. Cai and O. Widlund, Multiplicative Schwarz algorithms for nonsymmetric and indefinite Elliptic Problems, SIAM J. Numer. Anal., 30 (1993), pp. 936--952. X.-C. Cai and O. Widlund, Domain decomposition algorithms for indefinite elliptic problems, SIAM J. Sci. Stat. Comp., 13 (1992), pp. 243-258. ------------------------------------------------------------------------------- Title: Effective dimensional reduction algorithm for eigenvalue problems for thin elastic structures: A paradigm in three dimensions Authors: E.E. Ovtchinnikov and L.S. Xanthis Journal: Proc. Natl. Acad. Sci. USA, February 1, 2000, vol. 97, pp. 967-971 ------------------------------------------------------------------------------- http://mitpress.mit.edu/promotions/books/GROUP2F99 and http://mitpress.mit.edu/promotions/books/GROSPF99 Using MPI Portable Parallel Programming with the Message Passing Interface second edition William Gropp, Ewing Lusk, and Anthony Skjellum Using MPI-2 Advanced Features of the Message Passing Interface William Gropp, Ewing Lusk, and Rajeev Thakur ------------------------------------------------------------------------------- ITERATIVE METHODS IN SCIENTIFIC COMPUTATION IV (Edited by David H. Kincaid and Anne C. Elster) (Volume 5 in the IMACS Series in Computational and Applied Mathematics) IMACS Secretariat Dept. of Computer Science Rutgers University New Brunswick NJ 08903 ------------------------------------------------------------------------------- Ninth International Conference on Domain Decomposition Methods Edited by Petter E. Bjorstad, Magne S. Espedal, and David E. Keyes DDM.org, Bergen, 1997 F. Brezzi, L. P. Franca, D. Marini & A. Russo Stabilization Techniques for Domain Decomposition Methods with Non-Matching Grids 1--11 D. N. Arnold, R. S. Falk & R. Winther Preconditioning in H(div) and Applications 12--19 C. Farhat & J. Mandel Scalable Substructuring by Lagrange Multipliers in Theory and Practice 20--30 B. N. Khoromskij & G. Wittum An Asymptotically Optimal Substructuring Method for the Stokes Equation 31--39 J. Bramble, J. E. Pasciak & A. Vassilev Non-overlapping Domain Decomposition Preconditioners with Inexact Solves 40--52 A. Agouzal & N. Debit A New Approach to Domain Decomposition Methods with Nonmatching Grids 53--63 F. A. Bornemann & R. Krause Classical and Cascadic Multigrid: A Methodological Comparison 64--71 M. A. Casarin Schwarz Preconditioners for the Spectral Element Stokes and Navier-Stokes Discretizations 72--79 J. C. Diaz, M. Komara & J. Hensley Incomplete Domain Decomposition LUF actorizations 80--87 M. Dryja An Additive Schwarz method for Elliptic Mortar Finite Element Problems in Three Dimensions 88--96 M. J. Gander Overlapping Schwarz for Parabolic Problems 97--104 S. Ghanemi A Domain Decomposition Method for Helmholtz Scattering Problems 105--112 I. G. Graham & M. J. Hagger Additive Schwarz, CG and Discontinuous Coefflcients 113--120 J. S. Hesthaven A Stable Spectral Multi-Domain Method for the Unsteady, Compressible Navier-Stokes Equations 121--129 N. Heuer Preconditioners for the Boundary Element Method in Three Dimensions 130--138 S. Keras Combining Waveform Relaxation and Domain Decomposition 138--146 A. Klawonn Two Preconditioners for Saddle Point Problems with Penalty Term 147--154 P. Krzyzanowski A Domain Decomposition Method for Micropolar Fluids 155--162 A. Auge, A. Kapurkin, G. Lube & F. C. Otto A Note on Domain Decomposition of Singularly Perturbed Elliptic Problems 163--170 F. Nataf & F. Nier Convergence Rate of Schwarz-type Methods for an Arbitrary Number of Subdomains 171--177 R. Lorentz & P. Oswald Multilevel Finite Element Riesz Bases in Sobolev Spaces 178--187 Z. Cai, R. R. Parashkevov, T. F. Russell & X. Ye Overlapping Domain Decomposition fora Mixed Finite Element Method in Three Dimensions 188--196 L. F. Pavarino Preconditioners for Mixed Spectral Element Methods for Elasticity and Stokes Problems 197--204 Y. Shapira Algebraic Domain Decomposition Method for Unstructured Grids 205--214 D. N. Arnold, R. S. Falk & R. Winther Preconditioning Discrete Approximations of the Reissner-Mindlin Plate Model 215--221 X. Feng A Non-overlapping Domain Decomposition Method for Solving Elliptic Problems by Finite Element Methods 222--229 M. S. Espedal, X.-C.Tai & N. Yan A Hybrid Domain Decomposition Method For Convection-Dominated Problems 230--236 J. Zeng Geometric Convergence of Overlapping Schwarz Methods for Obstacle Problems 237--241 R. Scott & S. Zhang A Multigrid IteratedPenalty Method for Mixed Elements 242--247 R. E. Bank & S. Gutsch Hierarchical Basis for the Convection-Diffusion Equation on Unstructured Meshes 251--265 J.-D. Benamou A Domain Decomposition Method for Control Problems 266--273 K. Black Spectral Elements on Infinite Domains 274--282 A. Bounaim A Lagrangian Approach to a DDM for an Optimal Control Problem 283--289 F. Bourquin & R. Namar Decoupling and Modal Synthesis of Vibrating Continuous Systems 290--303 L. M. Carvalho & L. Giraud Additive Schwarz for the Schur Complement Method 304--310 T. F. Chan & I. Sharapov Subspace Correction Multilevel Methods for Elliptic Eigenvalue Problems 311--317 J.-M. Cros & F. L{\'e}n{\'e} Parallel Iterative Methods for Large-scale Eigenvalue Problems in Structural Dynamics 318--325 E. J. Dean & R. Glowinski Domain Decompositions of Wave Problems Using a Mixed Finite Element Method 326--333 F. Gastaldi, L. Gastaldi & A. Quarteroni ADN and ARN Domain Decomposition Methods for Advection-Diffusion Equations 334--341 R. Glowinski, T.-W. Pan & J. P{\'e}riaux On a Domain Embedding Method for Flow around Moving Rigid Bodies 342--349 S. Goossens, K. Tan & D. Roose An Efflcient FGMRES Solver for the Shallow Water Equations based on Domain Decomposition 350--358 G. Haase Multilevel Extension Techniques in Domain Decomposition Preconditioners 359--367 W. Heinrichs Defect correction for Boussinesq Flow 368--373 L.-C. Hsu & C. Mavriplis Adaptive Meshes for the Spectral Element Method 374--381 C. Japhet Optimized Krylov-Ventcell method. Application to convection-diffusion problems 382--389 K. Chen Preconditioning of Two-dimensional Singular Integral Equations 390--396 S. Kortas & Ph. Angot Parallel Preconditioners for a Fourth-order Discretization of the Viscous Burgers Equation 397--405 C. Lacour Iterative Substructuring Preconditioners for the Mortar Finite Element Method 406--412 P. Le~Tallec & M. Vidrascu Generalized Neumann-Neumann Preconditioners for Iterative Substructuring 413--425 S. H. Lui Some Recent Results on Domain Decomposition Methods for Eigenvalue Problems 426--433 J. Douglas & D. B. Meade Second-Order Transmission Conditions for the Helmholtz Equation 434--440 C. W. Oosterlee & T. Washio On the Use of Multigrid as a Preconditioner 441--448 A. Patra Newton-Krylov Domain Decomposition Solvers for Adaptive hp Approximations of the Steady Incompressible Navier-Stokes Equations with Discontinuous Pressure Fields 449--456 C. K. Pink, I. J. Anderson & J. C. Mason A Parallel Domain Decomposition Method for Spline Approximation 457--464 C. Rey & F. L{\'e}n{\'e} Reuse of Krylov Spaces in the Solution of Large-scale Nonlinear Elasticity Problems 465--471 D. Rixen & C. Farhat Preconditioning the FETI Method for Problems with Intra- and Inter-Subdomain Coefficient Jumps 472--479 F.-X. Roux & C. Farhat Parallel Implementation ofthe Two-level FETI Method 480--487 L. Stals Implementation of Multigrid on Parallel Machines Using Adaptive Finite Element Methods 488--496 O. Steinbach & W. L. Wendland Hierarchical Boundary Element Preconditioners in Domain Decomposition Methods 497--503 M. Maischak, E. P. Stephan & T. Tran Two-level Schwarz Methods for Indefinite Integral Equations 504--508 X.-C. Tai and M. Espedal A space decomposition method for minimization problems 509--516 K. Kunisch & X.-C. Tai Nonoverlapping Domain Decomposition Methods for Inverse Problems 517--524 K. Terekhova Capacitance Matrix Preconditioning 525--531 M. D. Tidriri Hybrid Newton-Krylov/Domain Decomposition methods for Compressible Flows 532--539 M.-C. Ciccoli & R. L. Trotta Multidomain Finite Elements and Finite Volumes for Advection-Diffusion Equations 540--547 M. Garbey, L. Viry & O.Coulaud A Funaro-Quarteroni Procedure for Singularly Perturbed Elliptic Boundary Value Problems 548--557 P. Wilders & G. Fotia One-level Krylov-Schwarz Domain Decomposition for Finite Volume Advection-diffusion 558--565 H. T. M. Van Der Maarel & A. W. Platschorre Optimization of Flexible Coupling in Domain Decomposition for a System of PDEs 566--574 J. P{\'e}riaux, B. Mantel & H. Q. Chen Intelligent Interfaces of a Schwarz Domain Decomposition Method via Genetic Algorithms for Solving Nonlinear PDEs: Application to Transonic Flows Simulations 575--582 I. Charpentier, F. De Vuyst & Y. Maday The Overlapping Component Mode Synthesis Method: The Shifted Eigenmodes Strategy and the Case of Selfadjoint Operators with Discontinuous Coefflcients 583--596 P. Bjorstad, M. Dryja & E. Vainikko Robust Additive Schwarz Methods on Unstructured Grids 597--606 Yu. Kuznetsov Overlapping Domain Decomposition with Non-matching Grids 606--617 J. Xu The EAFE Scheme and CWDD Method for Convection-dominated Problems 618--625 E. A. Gerteisen & R. Gruber A Computational Environment based on a Domain Decomposition Approach 629--635 T. Loos & R. Bramley A New Model for the Data Distribution Problem 636--646 C. Walshaw, M. Cross and M. G. Everett Parallel Unstructured Mesh Partitioning 647--654 A. M. Bruaset, H. P. Langtangen & G. W. Zumbusch Domain Decomposition andMultilevel Methods in Diffpack 655--662 B. G. Ersland & M. S. Espedal On Object Oriented Programming Languages as a Tool for a Domain Decomposition Method with Local Adaptive Refinement 663--669 U. Becker-Lemgau & C. Mavriplis Spectral Element Simulations of Laminar Diffusion Flames 673--681 X.-C. Cai, C. Farhat & M. Sarkis Variable-degree Schwarz Methods for Unsteady Compressible Flows 682--689 A. M. Cuffe, C.-H. Lai & K. A. Pericleous Adaptive Zonal Recognition for Viscous/Inviscid Coupling 690--697 H. K. Dahle, T. O. Widnes Johansen, T. Botnen & X.-C. Tai A Characteristic Domain Decomposition Method for Modeling Flow in a Coastal Aquifer 698--707 Q. V. Dinh & T. Fanion Applications of Dual Schur Complement Preconditioning to Problems in Computational Fluid Dynamics and Computational Electro-Magnetics 708--718 G. S. Djambazov, C.-H. Lai & K. A. Pericleous Development of a Domain Decomposition Methodfor Computational Aeroacoustics 719--725 M. S. Eikemo On Domain Decomposition fora Three-dimensional Extrusion Model 726--735 F. Willien, I. Faille & F. Schneider Domain Decomposition Methods Applied to Sedimentary Basin Modeling 736--744 R. C. Ferguson & I. G. Graham Multilevel Adaptive Methods for Semilinear Equations with Applications to Device Modelling 745--752 M. Kahlert, M. Paffrath & U. Wever Scalability of Industrial Applications on Different Computer Architectures 753--760 E. Kaplan A Shallow Water Model Distributed Using Domain Decomposition 761--767 C.-H. Lai A Distributed Algorithm for 1-D Nonlinear Heat Conduction with an Unknown Point Source 768--775 A. Muller Domain Decomposition ofan Atmospheric Transport-Chemistry Model 776--783 R. Quatember & W. L. Wendland Domain Decomposition Methods for Three-Dimensional Thermoelastic Problems on Parallel Computers 784--791 E. M. Ronquist A Domain Decomposition Solver for Three-Dimensional Steady Free Surface Flows 792--801 D. Soulat & S. Devries Mechanical Criteria for Decomposition into Subdomains 802--808 G. De Spiegeleer & A. Lerat A Quasi-Exact Interface Condition for Implicit Multiblock Euler and Navier-Stokes Calculations 809--816 R. Teigland A Domain Decomposition Strategy for Simulation of Industrial Fluid Flows 817--826 C.-H. Lai Applications of Quasi-Newton Methods for the Numerical Coupling of Some Nonlinear Problems 827--834 H. Wang & B. G. Ersland A Characteristic DomainDecomposition Algorithm for Two-Phase Flows with Interfaces 835--842 A. Vasilescu Cyclic Symmetry in Geometrical Nonlinear Analysis of Structures 843--849 P. E. Bjorstad, J. Braekhus & J. Cook Dynamic Scheduling of Substructure Computationsin an Industrial Production Environment 850--856 ------------------------------------------------------------------------------- Eleventh International Conference on Domain Decomposition Methods Edited by C.-H. Lai, P. E. Bj{\o}rstad, M. Cross, and O. Widlund DDM.org, Bergen, 1999 Y. Achdou, C. Japhet, P. Le Tallec, F. Nataf, F. Rogier, and M. Vidrascu Domain decomposition methods for non-symmetric problems 3--17 T. Friese, P. Deuflhard, and F. Schmidt A multigrid method for the complex helmholtz eigenvalue problem 18--26 M. J. Gander, L. Halpern, and F. Nataf Optimal convergence for overlapping and non-overlapping Schwarz waveform relaxation 27--36 I. G. Graham, W. Hackbusch, and S. A. Sauter Fast integration techniques in 3D boundary elements 37--48 A. Klawonn and O. Widlund A domain decomposition method with Lagrange multipliers for linear elasticity 49--56 F. G. Kupka Sparse grid spectral methods and some results from approximation theory 57--64 S. H. Lui On Schwarz alternating methods for the incompressible Navier-Stokes equations in N dimensions 65--72 G. Mateescu and C. J. Ribbens An iterative substructuring preconditioner for collocation with Hermite bicubics 73--81 S. V. Nepomnyaschikh Preconditioning operators for elliptic problems with bad parameters 82--88 E. Novak Is there a curse of dimension for integration? 89--96 P. Oswald Interface preconditioners and multilevel extension operators 97--104 E. E. Ovtchinnikov and L. S. Xanthis Robust subspace correction methods for thin elastic shells 105--112 Z.-C. Shi and X. Xu V-cycle multigrid methods for Wilson nonconforming element 113--120 D. Stefanica and A. Klawonn The FETI method for mortar finite elements 121--129 X.-C. Tai and J. Xu Subspace correction methods for convex optimization problems 130--139 J. Xu and A. Zhou Some local and parallel properties of finite element discretizations 140--147 M. Al-Lawatia and H. Wang A nonoverlapping characteristic domain decomposition method for unsteady state advection-diffusion equations 151--158 X.-C. Cai, M. Paraschivoiu, and M. Sarkis An explicit multi-model compressible flow formulation based on the full potential equation and the Euler equations on 3D Unstructured Meshes 159--177 M. A. Casarin and O. Widlund Overlapping Schwarz methods for Helmholtz's equation 178--189 T. F. Chan, S. Go, and J. Zou Multilevel spectral partitioning of unstructured grids 190--196 E. G. N. Coenen Quasi-simultaneous coupling for wing and aerofoil flow 197--205 P. Cummings and X. Feng Domain decomposition methods for a system of coupled acoustic and elastic Helmholtz equations 206--213 D. J. Evans and Z. Z. Bai On the convergence of the generalized asynchronous multisplitting block two-stage relaxation methods for the large sparse systems of mildly nonlinear equations 214--222 R. E. Ewing, R. D. Lazarov, T. Lin, and Y. Lin Domain decomposition capabilities forthe mortar finite volume element methods 223--230 C. Farhat, A. Macedo, and R. Tezaur FETI-Ha scalable domain decomposition method for high frequency exterior Helmholtz problems 231--241 M. Garbey and D. Tromeur-Dervout Domain decomposition with local Fourier bases applied to frontal polymerisation problems 242--250 S. Goossens and X.-C. Cai Lower dimensional interpolation in overlapping composite mesh difference methods 251--259 N. Heuer Domain decomposition for indefinite weakly singular integral equations 260--267 T. Kako and T. Kano Numerical simulation of wave propagation phenomena in vocal tract and domain decomposition method 268--273 H. Kawarada and H. Suito Optimal shape of pine for sound absorption in water 274--285 D. E. Keyes How scalable is domain decomposition in practice? 286--297 G. Lube, L. M{\"u}ller, and F.-C. Otto A non-overlapping DDM of Robin-Robin type for parabolic problems 298--305 K. McManus, S. Johnson, and M. Cross Communication latency hiding in a parallel conjugate gradient method 306--313 A. Niedermeier and S. Zimmer Implementational aspects of prewavelet sparse grid methods 314--321 C. J. Palansuriya, C.-H. Lai, C. S. Ierotheous, K. A. Pericleous, and D. E. Keyes Comparison of three algorithms for nonlinear metal cutting problems 322--329 E. M. R{\o}nquist Domain decomposition methods for the steady Stokes equations 330--340 A. A. Samarskii and P. N. Vabishchevich Domain decomposition methods for parabolic problems 341--347 X.-C. Tai and P. Tseng An asynchronous space decomposition method 348--358 A. E. P. Veldman and C.-H. Lai Viscous-inviscid interaction domain decomposition avant la lettre 359--367 C. Alboin, J. Jaffr{\'e}, J. Roberts, and C. Serres Domain decomposition for flow in porous media with fractures 371--389 V. Aravinthan, S. P. Johnson, K. McManus, C. Walshaw, and M. Cross Dynamic load balancing for multi-physical modelling using unstructured meshes 380--387 X.-C. Cai Domain decomposition in high-level parallelization of PDE codes 388--395 P. Chow and C. Addison An overview on current multiphysics software strategies for coupled applications with interacting physics on parallel and distributed computers 396--401 P. Chow, C. Bailey, K. McManus, C. Addison, and M. Cross A single-code software model for multiphysics analysis-engine on parallel and distributed computers with the PHYSICA toolkit 402--409 P. Deuflhard and M. Seebass Adaptive multilevel FEM as decisive tools in the clinical cancer therapy hyperthermia 410--421 G. S. Djambazov, C.-H. Lai, and K. A. Pericleous Sound generation by vortex-blade interactions 422--429 M{\"u}ller and P. Adamidis Analysis of substructuring in a metal forming process 430--438 A. K. Parrott and N. A. L. Clarke The parallel solution of early-exercise asian options with stochastic volatility 439--446 A. K. Patra and D. W. Kim Efflcient mesh partitioning for adaptive hp finite element meshes 447--455 K. H. Pierson and M. Lesoinne A FETI solver for corotational nonlinear problems 456--463 Y. Saad, S. Kuznetsov, and G.-C. Lo Parallel solution of general sparse linear systems using PSPARSLIB 464--474 R. Scheichl Parallel solvers for the two-group neutron diffusion equations of reactor kinetics 476--483 M. Vidrascu Remarks on the implementation of the Generalized Neumann-Neumann algorithm 484--493 P. Wilders Scalability and load imbalance for domain decomposition based transport 494--501 H. Feng and C. Mavriplis Parallel implementation of the spectral element method with nonconforming mesh 505--512 D. K. Kaushik, D. E. Keyes, and B. F. Smith NKS Methods for compressible and incompressible flows on unstructured grids 513--520 P. Krzyzanowski Block preconditioners for nonsymmetric saddle point problems 521--528 S. Le Borne Ordering techniques forconvection dominated problems on unstructured three-dimensional grids 529--536 D. H. Malan and A. C. Metaxas Domain decomposition and parallel processing in microwave applicator design 537--542 A. Puppin Macedo On the choice of Krylov methods and preconditioners for a domain decomposed iterative solution of the exterior Helmholtz problem 543--550 A. Toselli Overlapping methods with perfectly matched layers for the solution of the Helmholtz equation 551--557 A. Twerda, R. L. Verweij, T. W. J. Peeters, and A. F. Bakker Parallel multi-grid for turbulent reacting flow simulations 558--567 N. Volfovsky and M. Bercovier Parallel domain decomposition for reaction-diffusion problems 568--575 V. Vondr{\'a}k, Z. Dost{\'a}l, and J. Rasmussen FETI domain decomposition algorithms for sensitivity analysis in contact shape optimization 576--583 ------------------------------------------------------------------------------- Numerical Linear Algebra with Applications Volume 6 Diagonal threshold techniques in robust multi-level ILU preconditioners for general sparse linear systems Y. Saad and J. Zhang (pp. 257-280) Ritz and harmonic Ritz values and the convergence of FOM and GMRES S. Goossens and D. Roose (pp. 281-293) Generating equations approach for quadratic matrix equations J. Stefanovski (pp.295-326) On the convergence of basic iterative methods for Convection- Diffusion equations J. Bey and Arnold Reusken (pp. 329-352) Iterative solver for the Oseen problem and numerical solution of incompressible Navier-Stokes equations M. A. Olshanskii (pp.353-378) Efficient planewise-like preconditioners for solving 3D Problems M. monga Made and B. Polman (pp.379-406) ------------------------------------------------------------------------------- @Article{BDH97, journal = {Surveys on Mathematics for Industry}, number = {3-4}, volume = 8, author = {R. Beck and P. Deuflhard and R. Hiptmair and R. H. W. Hoppe and B. Wohlmuth}, title = {Adaptive multilevel methods for edge element discretizations of {M}axwell's equations}, year = 1999, pages = {271--312} , } @Article{BEH97, journal = {Int. J. Num. Meth. Engr.}, volume = 45, keywords = {Maxwell's equations,edge elements,Nedelec elements,multilevel preconditioning,scattering problems,waveguide computations} , author = {R. Beck and R. Hiptmair}, title = {Multilevel Solution of the Time-Harmonic {M}axwell Equations Based on Edge Elements}, year = 1999, pages = {901--920}, } @inproceedings{HHW95, publisher = {Vieweg}, booktitle = {Notes on Numerical Fluid Mechanics Vol. 51}, editor = {W. Hackbusch and G. Wittum}, month = {January}, address = {Braunschweig}, organization = {11th GAMM Sem. Kiel}, author = {R. Hiptmair and R. H. W. Hoppe and B. Wohlmuth}, title = {Coupling problems in microelectronic device simulation}, year = {1995}, pages = {86-95} , } @inproceedings{HIH93, booktitle = {Proceedings of a Conference held at the Mathematisches Forschungsinstitut Oberwolfach, July 5--11, 1992}, editor = {R.E. Bank and R. Bulirsch and H. Gajewski and K. Merten}, author = {R. Hiptmair and R. H. W. Hoppe}, title = {Mixed finite element discretization of continuity equations arising in semiconductor device simulation}, year = {1993}, pages = {197--217} , } @Article{HIH99, journal = {Numer. Math.}, number = 2, volume = 82, keywords = {multilvevel,H(div)} , author = {R. Hiptmair and R. H. W. Hoppe}, title = {Multilevel Preconditioning for Mixed Problems in Three Dimension}, year = 1999, pages = {253--279}, } @Book{HIP96, publisher = {Wi{\ss}ner-Verlag}, series = {Augsburger mathematisch--naturwissenschaftliche Schriften}, volume = 8, address = {Augsburg}, author = {R. Hiptmair}, title = {Multilevel Preconditioning for Mixed Problems in Three Dimensions}, year = 1996, } @Article{HIP96b, journal = {Math. Comp.}, volume = 68, keywords = {Finite elements, differential forms, Raviart-Thomas elements, Nedelec elements, Whitney forms, discrete potentials} , author = {R. Hiptmair}, title = {Canonical Construction of Finite Elements}, year = 1999, pages = {1325-1346}, } @article{HIP97b, journal = {ETNA}, volume = {6}, author = {R. Hiptmair}, title = {Multigrid Method for {$H({\rm div})$} in Three Dimensions}, year = {1997}, pages = {7--77} , } @article{HIP97c, journal = {East--West J.~Num.~Math.}, number = {3} , volume = {5}, author = {R. Hiptmair}, title = {Nonconforming vector valued finite elements}, year = {1997}, } @Article{HIP99, journal = {SIAM J. Numer. Anal.}, number = 1, volume = 36, author = {R. Hiptmair}, title = {Multigrid Method for {M}axwell's Equations}, year = 1999, pages = {204--225} , } @incollection{HIT97, publisher = {Springer}, booktitle = {Parallel Solution of PDEs, IMA Volumes in Mathematics and its Applications}, address = {Berlin}, note = { {To appear} \textbf{Volume~67,Volume~60,HIT97}}, keywords = {#67,#60,multilevel,H(curl),H(div)} , author = {R. Hiptmair and A. Toselli}, title = {Overlapping and multilevel {S}chwarz methods for vector valued elliptic problems in three dimensions.}, year = 1998, } @article{HSW95, journal = {Computing}, institution = {Institut f\"ur Mathematik, Universit\"at Augsburg} , number = {1}, volume = {57}, author = {R. Hiptmair and T. Schiekofer and B. Wohlmuth}, title = {Multilevel preconditioned augmented {L}agrangian techniques for 2nd order mixed problems}, year = {1996}, pages = {25--48}, } ------------------------------------------------------------------------------- **** Continue backwards with V9N10 ?? **** V9N08 appears to be the last one processed