Discretization and Iterative Solution Techniques for Elliptic Problems on Non-Matching Grids.

Lazarov, R. ; Pasciak, J.

Technical Information Center Oak Ridge Tennessee

关键词: Elliptic differential equations;    Descretization methods;    Grids (Mathematics);    Parallel processing;    Numerical analysis;   

RP-ID  :  DE200515013128

学科分类：工程和技术（综合）

美国|英语

来源: National Technical Reports Library

【 摘 要 】

Construction, analysis and numerical testing of efficient solution techniques for solving elliptic PDEs that allow for parallel implementation have been the focus of the research. A number of discretization and solution methods for solving second order elliptic problems that include mortar and penalty approximations and domain decomposition methods for finite elements and finite volumes have been investigated and analyzed. Techniques for parallel domain decomposition algorithms in the framework of PETC and HYPRE have been studied and tested. Hierarchical parallel grid refinement and adaptive solution methods have been implemented and tested on various model problems.