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20192022
most citedA Locking-Free Finite Element Method for Linear Elasticity Equations on Polytopal Partitions

1 citations · 6 across the 12 of their papers we have counts for

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math.NA2022

Curved Elements in Weak Galerkin Finite Element Methods

Dan Li, Chunmei Wang, Junping Wang

A mathematical analysis is established for the weak Galerkin finite element methods for the Poisson equation with Dirichlet boundary value when the curved elements are involved on…

math.NA2022

Weak Galerkin Finite Element Methods for Quad-Curl Problems

Chunmei Wang, Junping Wang, Shangyou Zhang

This article introduces a weak Galerkin (WG) finite element method for quad-curl problems in three dimensions. It is proved that the proposed WG method is stable and accurate in an…

math.NA20221 cited

A Generalized Weak Galerkin method for Oseen equation

Wenya Qi, Padmanabhan Seshaiyer, Junping Wang

In this work, the authors introduce a generalized weak Galerkin (gWG) finite element method for the time-dependent Oseen equation. The generalized weak Galerkin method is based on…

math.NA20221 cited

Generalized Weak Galerkin Methods For Stokes Equations

W. Qi, P. Seshaiyer, J. Wang

A new weak Galerkin finite element method, called generalized weak Galerkin method ({g}WG), is introduced for Stokes equations in this paper by using a new definition of the weak g…

math.NA2022

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

Chunmei Wang, Junping Wang, Shangyou Zhang

A parallelizable iterative procedure based on domain decomposition is presented and analyzed for weak Galerkin finite element methods for second order elliptic equations. The conve…

math.NA2021

An -weak Galerkin method for second order elliptic equations in non-divergence form

Waixiang Cao, Junping Wang, Yuesheng Xu

This article presents a new primal-dual weak Galerkin method for second order elliptic equations in non-divergence form. The new method is devised as a constrained -optimizati…