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Volume 21, Issue 1
A Parallel Iterative Procedure for Weak Galerkin Methods for Second Order Elliptic Problems

Chunmei Wang, Junping Wang & Shangyou Zhang

DOI: 10.4208/ijnam2024-1001

Int. J. Numer. Anal. Mod., 21 (2024), pp. 1-19.

Published online: 2024-01

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  • 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.

  • Keywords

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

  • AMS Subject Headings

Primary, 65N30, 65N15, 65N12, 74N20 Secondary, 35B45, 35J50, 35J35

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{IJNAM-21-1, author = {Wang , ChunmeiWang , Junping and Zhang , Shangyou}, title = { A Parallel Iterative Procedure for Weak Galerkin Methods for Second Order Elliptic Problems}, journal = {International Journal of Numerical Analysis and Modeling}, year = {2024}, volume = {21}, number = {1}, pages = {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.

}, issn = {2617-8710}, doi = {https://doi.org/10.4208/ijnam2024-1001}, url = {http://global-sci.org/intro/article_detail/ijnam/22327.html} }
TY - JOUR T1 - A Parallel Iterative Procedure for Weak Galerkin Methods for Second Order Elliptic Problems AU - Wang , Chunmei AU - Wang , Junping AU - Zhang , Shangyou JO - International Journal of Numerical Analysis and Modeling VL - 1 SP - 1 EP - 19 PY - 2024 DA - 2024/01 SN - 21 DO - http://doi.org/10.4208/ijnam2024-1001 UR - https://global-sci.org/intro/article_detail/ijnam/22327.html KW - Weak Galerkin, finite element methods, elliptic equation, parallelizable iterative, domain decomposition. AB -

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.

Chunmei Wang, Junping Wang & Shangyou Zhang. (2024). A Parallel Iterative Procedure for Weak Galerkin Methods for Second Order Elliptic Problems. International Journal of Numerical Analysis and Modeling. 21 (1). 1-19. doi:10.4208/ijnam2024-1001
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