Polynomial preserving recovery for a class of weak Galerkin finite element methods

[摘要] This paper presents the polynomial-preserving recover (PPR) postprocessing technique for the weak Galerkin (WG) finite element methods on triangular meshes. The proposed technique involves a fine-tuning parameter in a stabilizer that improves the convergence order of the finite element methods. The supercloseness between the Lagrangian interpolation and the WG solution is analyzed, which leads to the main result about the superconvergence in the gradient of the WG solution. Numerical results are presented to illustrate the theoretical analysis. (C) 2018 Elsevier B.V. All rights reserved.

[发布日期] 2019-12-15

[效力级别]  Proceedings Paper

[关键词] Polynomial-preserving recovery;Superconvergence;Triangular meshes;Weak Galerkin finite element methods