A Parallel Iterative Procedure for Weak Galerkin Methods for Second Order Elliptic Problems

 A Parallel Iterative Procedure for Weak Galerkin Methods for Second Order Elliptic Problems

Year:    2024

Author:    Chunmei Wang, Junping Wang, Shangyou Zhang

International Journal of Numerical Analysis and Modeling, Vol. 21 (2024), Iss. 1 : pp. 1–19

Abstract

A parallelizable iterative procedure based on domain decomposition is presented and analyzed for weak Galerkin finite element methods for second order elliptic equations. The convergence analysis is established for the decomposition of the domain into individual elements associated to the weak Galerkin methods or into larger subdomains. A series of numerical tests are illustrated to verify the theory developed in this paper.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/ijnam2024-1001

International Journal of Numerical Analysis and Modeling, Vol. 21 (2024), Iss. 1 : pp. 1–19

Published online:    2024-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    19

Keywords:    Weak Galerkin finite element methods elliptic equation parallelizable iterative domain decomposition.

Author Details

Chunmei Wang

Junping Wang

Shangyou Zhang