Elliptic Solvers with Adaptive Mesh Refinement and First-Order System Least-Squares (FOSLS) Methodologies

Bobby Philip

L-551, Center for Applied Scientific Computing
Lawrence Livermore National Laboratory
Livermore, CA 94550


The talk will describe current ongoing work on developing elliptic solvers on adaptively refined curvilinear coordinate grids. First-Order System Least-Square formulations are used for elliptic systems to facilitate the development of reliable local error estimators. These error estimators will be used to determine where to place local fine grids during the adaptive mesh refinement process. The class of Fast Adaptive Composite Grid (FAC) algorithms will be described. Details of implementing AFACx, an asynchronous version of FAC, on adaptively refined curvilinear grids will be described.