SIXTH ANNUAL COPPER MOUNTAIN CONFERENCE
ON
MULTIGRID METHODS
April 4 - 9, 1993
SUNDAY APRIL 4
ROOM A: 7:00 - 9:00 p.m.
RECEPTION
****Rooms will be available in off-hours for****
**informal workshops and continuation of Circus as needed**
MONDAY APRIL 5TH
ROOM A: 8:00 a.m. - 12:00 p.m. (10-10:30 a.m. Break)
FLUIDS
Chair: D. Bullivant
J. Baumgardner, P. Frederickson
3-D spherical modeling of mantle dynamics
C. Duncan, J. Jones
A mixed method Poisson solver for three dimensional self-
gravitating astrophysical fluid dynamical systems
S.R. Fulton
An adaptive multigrid model for hurricane track prediction
J. Ruge
Multigrid and local refinement in the shallow water equations
D. Sholl
Multilevel methods for shallow water equations
I. Yavneh
Multigrid solution to geophysical flows with stable stratification
S. Yee
Dual resolution results from a global spectral weather prediction
model
ROOM B: 8:00 a.m. - 12:00 p.m. (10-10:30 a.m. Break)
DOMAIN DECOMPOSITION
Chair: J. Pasciak
X.C. Cai
Overlapping Schwarz algorithms for nonlinear elliptic finite
element problems
L. Cowsar, J. Mandel, M.F. Wheeler
Balancing domain decomposition for mixed finite elements
E. D'Yakonov
Optimal preconditioners and multigrid splittings
H.C. Ku
Multigrid domain decomposition approach for solution of
Navier-Stokes equations in primitive variable form
M. Mu
A new family of preconditioners for domain decomposition
L.F. Pavarino, O. Widlund
Iterative substructuring methods for p-version finite elements
M. Sarkis
Two-level Schwarz methods for nonconforming P1 elements
*** Noon - 4:00 p.m. ***
BREAK
ROOM A: 4:00 p.m. - 7:00 p.m. (5:30 - 6:00 p.m Break)
CIRCUS
Chair: C. Douglas
ROOM B: 4:00 p.m. - 7:00 p.m. (5:30 - 6:00 p.m Break)
INFORMAL WORKSHOPS
Chair: P. Frederickson
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TUESDAY APRIL 6
ROOM A: 8:00 a.m. - 12:00 p.m. (10-10:30 a.m. Break)
ITERATIVE METHODS
Chair: O. Widlund
S. Costiner, S. Ta'asan
A multilevel adaptive simultaneous eigenvalue solver (MASES)
E. DeSturler, D.R. Fokkema
Nested GMRES and preserving the orthogonality in the inner method
and efficient implementation
B. Jawerth, W. Sweldens
Wavelets adapted for the solution of ordinary differential
equations
S. Parter
Preconditioning: different spaces, different discretizations
O. Tatebe
The multigrid preconditioned conjugate gradient method
P.S. Vassilevski
Block ILU-methods based on reduction of the block size
J. Wang
A modified hierarchical basis by the wavelet method
ROOM B: 8:00 a.m. - 12:00 p.m. (10-10:30 a.m. Break)
BASICS I
Chair: K. Witsch
J. Baumgardner, P. Frederickson
Quadrature-based smoothers for strongly varying problems
B. Bialecki, M. Dryja
Multigrid and multilevel methods for orthogonal spline collocation
problems
J.H. Bolstad
A high order multigrid method for elliptic problems with folds
J.H. Bramble, D.Y. Kwak, J.E. Pasciak
Uniform convergence of multigrid V-cycle iterations for indefinite
and nonsymmetric problems
A. Brandt
New multi-scale processes
S.R. Fulton, Y. Kang
Relaxation schemes for Chebyshev spectral multigrid methods
M. Griebel
Point-block multilevel methods
*** Noon - 4:00 p.m. ***
BREAK
ROOM A: 4:00 p.m. - 7:30 p.m. (5:30 - 6:00 p.m. Break)
ADAPTIVE METHODS
Chair: R. Ewing
P. Angot, J.P. Caltagirone, K. Khadra
A comparison of locally adaptive multigrid methods: LDC, FAC, and
FIC
R.E. Bank, M. Benbourenane
A posteriori error estimator based on hierarchical basis
M. Lemke, K. Witsch
Multilevel algorithms and local refinement for singular
perturbation problems
W.F. Mitchell
MGGHAT: elliptic PDE software with adaptive refinement, multigrid
and high order finite elements
N. Pantelelis
The block adaptive multigrid method applied to the solution of the
Euler equations
C. Sung
A multiblock multigrid local refinement method for incompressible
Reynolds-averaged Navier-Stokes equations
ROOM B: 4:00 p.m. - 7:00 p.m. (5:30 - 6:00 p.m. Break)
NON-LINEAR FILTERING
Chair: B. Rosovski
B. Rozovski
Non-linear filtering, the Zakai equation, etc., what it is all
about
K. Ito
Hermite-polynomial based spectral method for the Zakai equation
F. Campillo, F. Legland
Numerical solutions of PDE's for stochastic systems
R. Mikulevicius
Wiener chaos decomposition as numerical method for stochastic PDE's
Z. Cai
FAC for the Zakai equation
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WEDNESDAY APRIL 7
ROOM A: 8:00 a.m. - 12:00 p.m. (10-10:30 a.m. Break)
CFD I
Chair: D. Melson
M. Curran
A multigrid-based finite-element approximation to solute transport
in groundwater flow
A.O. Demuren, S.O. Ibraheem
Multigrid acceleration of implicit time-stepping algorithms for
solving the Euler and Navier-Stokes equations
C.C. Douglas, A. Ern
Numerical solution of flame sheet problems with and without
multigrid methods
T. Dubois, R. Temam
A multilevel procedure for the simulation of homogeneous and
non-homogeneous turbulent flows
R.E. Ewing, J. Shen
Multigrid method in solving porous media flow problems
L.H. Howell
A multilevel adaptive projection method for unsteady
incompressible flow
J.E. Jones
A mixed finite volume element method for simulation of flow in
porous media
ROOM B: 8:00 a.m. - 12:00 p.m. (10-10:30 a.m. Break)
BASICS II
Chair: S. Parter
C.C. Douglas
Implementing abstract multilevel algorithms
B. Engquist, E. Luo
Multigrid methods for differential equations with highly
oscillatory coefficients
H. Lee
Multigrid method for integral equations and automatic programs
S. McCormick
Multilevel projection methods
R. Tuminaro
Cyclic reduction/multigrid
V. Henson, A. Shaker
The multilevel projection method for a semilinear elliptic problem
R.V. Wilson
On the prediction of multigrid efficiency through local mode
analysis
*** Noon - 4:00 p.m. ***
BREAK
ROOM A: 4:00 p.m. - 5:30 p.m.
STUDENT AWARDS
K. Brackenridge
Multigrid and cyclic reduction applied to the Helmholtz equation
C.O. Lee
A nonconforming multigrid method using conforming subspaces
M. Reichelt
Optimal frequency-dependent SOR acceleration of waveform
relaxation with application to semiconductor device simulation
ROOM TO BE ANNOUNCED: 7:30 - 9:30 p.m.
BANQUET
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THURSDAY APRIL 8
ROOM A: 8:00 a.m. - 12:00 p.m. (10-10:30 a.m. Break)
CFD II
Chair: P. Wesseling
H.A. Becker, E.W. Grandmaison, D. Matovic, A. Pollard
FAS multigrid calculations of three dimensional flow using
non-staggered grids
G.F. Carey, A.L. Pardhanani
Multigrid simulation of nonlinear dynamics in reaction-diffusion
systems
L.A. Catalano, P. De Palma, M. Napolitano, G. Pascazio
Multi-dimensional upwinding and grid adaptivity for the solution of
inviscid flow problems
A. Dervieux, E. Morano
Looking for O(N) Navier-Stokes solutions on non-structured meshes
B. Geurts, H. Kuerten
Compressible turbulent flow simulation with a multigrid multiblock
method
C. Liu, Z-N Liu, Z-X Liu, S. McCormick
Multilevel methods for flow transition in a plane channel with
roughness elements
P.M. Sockol
Multigrid solution of the Navier-Stokes equations on highly
stretched grids with defect correction
ROOM B: 8:00 a.m. - 12:00 p.m. (10-10:30 a.m. Break)
APPLICATIONS I
Chair: R. Temam
B. Bachmann
A multigrid solver for the semiconductor equations
S.C. Brenner
Multigrid methods for parameter dependent problems
G.F. Carey, H.S. Kohli
Multigrid methods for the optimal design of electromagnets
G.F. Carey, M.B. Davis
Multilevel solution of augmented drift-diffusion equations
K. Cavanaugh, V. Henson
A multilevel cost-space approach to the long transportation problem
T. Li
Multilevel optimal control
M. Limber
On multigrid methods in image reconstruction
*** Noon - 4:00 p.m. ***
BREAK
ROOM A: 4:00 p.m. - 5:30 p.m.
TRANSPORT
Chair: V. Henson
B.T. Adams, J.E. Morel
An upscatter acceleration technique for the multigroup Sn equations
T. Manteuffel
Multilevel methods for transport equations
S. Oliveira
Parallel algorithms for the anistropic transport equations
ROOM B: 4:00 - 5:30
ALGEBRAIC SOLVERS
Chair: J. Van Rosendale
V.A. Bandy, J.E. Dendy, Jr.
Comparison of two-dimensional black box multigrid solvers for
advection-diffusion equations
H. Regler, U. Ruede
Layout optimization with algebraic multigrid methods (AMG)
Y. Shapira
An automatic multigrid method for the solution of sparse linear
systems
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FRIDAY APRIL 9
ROOM A: 8:00 a.m. - 12:00 p.m. (10-10:30 a.m. Break)
CFD III
Chair: E. D'Yakonov
W.K. Anderson, T.W. Roberts, G.P. Warren
Multigrid properties of upwind-biased data reconstruction methods
for solving the Euler/Navier-Stokes equations
N.D. Melson, M.D. Sanetrik
Time-accurate Navier-Stokes calculations with multigrid
acceleration
U.M. Ascher, D. Sidilkover
A multigrid solver for incompressible Navier-Stokes on
non-staggered grids
M.J. Berger, D. J. Mavriplis, V. Venkatakrishnan
Unstructured multigrid through agglomeration
E. Dick, K. Riemslagh
A multigrid method for steady Euler equations on unstructured
adaptive grids
R. Radespiel, R.C. Swanson
Multigrid schemes for hypersonic viscous flows
P. Wesseling, S. Zeng
Multigrid for the incompressible Navier-Stokes equations in general
coordinates
ROOM B: 8:00 a.m. - 12:00 p.m. (10-10:30 a.m. Break)
SUPERCOMPUTING
Chair: C. Duncan
H.C. Chen, A.F. He
Vectorization and parallelization of finite strip method for
dynamic mindlin plate problems
J.E. Dendy, Jr.
Multigrid methods for SIMD machines
P.A. Farrell, A. Ruttan, R. R. Zeller
Application of multigrid methods to the solution of liquid crystal
equations on a SIMD computer
M. Lemke, D. Quinlan
An object-oriented approach for parallel self-adaptive mesh
refinement on block structured grids
L.R. Matheson, R.E. Tarjan
Analysis of multigrid methods on massively parallel computers:
architectural implications
U. Ruede
Object oriented implementation of multigrid algorithms
J. Van Rosendale
Mapping robust parallel multigrid algorithms to scalable memory
architectures