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28 papers · 1 filter
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…
Finite element method with the total stress variable for Biot's consolidation model
Wenya Qi, Padmanabhan Seshaiyer, Junping Wang
In this work, semi-discrete and fully-discrete error estimates are derived for the Biot's consolidation model described using a three-field finite element formulation. The fields i…
De Rham Complexes for Weak Galerkin Finite Element Spaces
Chunmei Wang, Junping Wang, Xiu Ye +1
Two de Rham complex sequences of the finite element spaces are introduced for weak finite element functions and weak derivatives developed in the weak Galerkin (WG) finite element…
A Primal-Dual Weak Galerkin Method for Div-Curl Systems with low-regularity solutions
Yujie Liu, Junping Wang
This article presents a new primal-dual weak Galerkin finite element method for the div-curl system with tangential boundary conditions and low-regularity assumptions on the soluti…
A primal-dual finite element method for first-order transport problems
Chunmei Wang, Junping Wang
This article devises a new numerical method for first-order transport problems by using the primal-dual weak Galerkin (PD-WG) finite element method recently developed in scientific…
A discrete maximum principle for the weak Galerkin finite element method on nonuniform rectangular partitions
Yujie Liu, Junping Wang
This article establishes a discrete maximum principle (DMP) for the approximate solution of convection-diffusion-reaction problems obtained from the weak Galerkin finite element me…