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 - <p style="text-align: justify;">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.</p>