English

A parallel iterative procedure for weak Galerkin methods for second order elliptic problems

Numerical Analysis 2022-04-12 v1 Numerical Analysis

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

Cite

@article{arxiv.2204.04830,
  title  = {A parallel iterative procedure for weak Galerkin methods for second order elliptic problems},
  author = {Chunmei Wang and Junping Wang and Shangyou Zhang},
  journal= {arXiv preprint arXiv:2204.04830},
  year   = {2022}
}

Comments

18 pages, 4 figures, 12 tables

R2 v1 2026-06-24T10:43:57.385Z