Error estimates in weak Galerkin finite element methods for parabolic equations under low regularity assumptions
In this paper, we consider the weak Galerkin finite element approximations of second order
linear parabolic problems in two dimensional convex polygonal domains under the low …
linear parabolic problems in two dimensional convex polygonal domains under the low …
A stabilizer free weak Galerkin finite element method with supercloseness of order two
The weak Galerkin (WG) finite element method is an effective and flexible general numerical
technique for solving partial differential equations. A simple WG finite element method is …
technique for solving partial differential equations. A simple WG finite element method is …
A systematic study on weak Galerkin finite element method for second‐order parabolic problems
In the present work, we have described a systematic numerical study on weak Galerkin (WG)
finite element method for second‐order linear parabolic problems by allowing polynomial …
finite element method for second‐order linear parabolic problems by allowing polynomial …
Order two superconvergence of the CDG finite elements on triangular and tetrahedral meshes
It is known that discontinuous finite element methods use more unknown variables but have
the same convergence rate comparing to their continuous counterpart. In this paper, a novel …
the same convergence rate comparing to their continuous counterpart. In this paper, a novel …
On the superconvergence of a WG method for the elliptic problem with variable coefficients
This article extends a recently developed superconvergence result for weak Galerkin (WG)
approximations for modeling partial differential equations from constant coefficients to …
approximations for modeling partial differential equations from constant coefficients to …
[HTML][HTML] Locally structure-preserving div-curl operators for high order discontinuous Galerkin schemes
We propose a novel Structure-Preserving Discontinuous Galerkin (SPDG) operator that
recovers at the discrete level the algebraic property related to the divergence of the curl of a …
recovers at the discrete level the algebraic property related to the divergence of the curl of a …
A new numerical method for div-curl systems with low regularity assumptions
This paper presents a new numerical method for div-curl systems with the normal boundary
condition by using a finite element technique known as primal-dual weak Galerkin (PDWG) …
condition by using a finite element technique known as primal-dual weak Galerkin (PDWG) …
A weak Galerkin least-squares finite element method for div–curl systems
In this paper, we introduce a weak Galerkin least-squares method for solving div–curl
problem. This finite element method leads to a symmetric positive definite system and has …
problem. This finite element method leads to a symmetric positive definite system and has …
New primal-dual weak Galerkin finite element methods for convection-diffusion problems
This article devises a new primal-dual weak Galerkin finite element method for the
convection-diffusion equation. Optimal order error estimates are established for the primal …
convection-diffusion equation. Optimal order error estimates are established for the primal …
An Lp-primal–dual weak Galerkin method for convection–diffusion equations
In this article, the authors present a new L p-primal–dual weak Galerkin method (L p-PDWG)
for convection–diffusion equations. Comparing with the standard L 2-PDWG method, the …
for convection–diffusion equations. Comparing with the standard L 2-PDWG method, the …