Shangyou Zhang

research

∙ 09/19/2023

Stabilizer-free polygonal and polyhedral virtual elements

Stabilizer-free P_k virtual elements are constructed on polygonal and po...

0 Yanping Lin, et al. ∙

research

∙ 09/18/2023

A family of stabilizer-free virtual elements on triangular meshes

A family of stabilizer-free P_k virtual elements are constructed on tria...

0 Xuejun Xu, et al. ∙

research

∙ 08/05/2023

A Modified weak Galerkin finite element method for the Maxwell equations on polyhedral meshes

We introduce a new numerical method for solving time-harmonic Maxwell's ...

0 Chunmei Wang, et al. ∙

research

∙ 07/14/2023

Locking-free HDG methods for Reissner-Mindlin plates equations on polygonal meshes

We present and analyze a new hybridizable discontinuous Galerkin method ...

0 Gang Chen, et al. ∙

research

∙ 06/25/2023

High Order Morley Elements for Biharmonic Equations on Polytopal Partitions

This paper introduces an extension of the Morley element for approximati...

0 Dan Li, et al. ∙

research

∙ 04/20/2023

On a Sharp Estimate of Overlapping Schwarz Methods in H(curl;Ω) and H(div;Ω)

The previous proved-bound is C(1+H^2/δ^2) for the condition number of th...

0 Qigang Liang, et al. ∙

research

∙ 10/29/2022

Weak Galerkin Finite Element Methods for Quad-Curl Problems

This article introduces a weak Galerkin (WG) finite element method for q...

0 Chunmei Wang, et al. ∙

research

∙ 04/11/2022

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

A parallelizable iterative procedure based on domain decomposition is pr...

0 Chunmei Wang, et al. ∙

research

∙ 02/10/2022

The nodal basis of C^m-P_k^(3) and C^m-P_k^(4) finite elements on tetrahedral and 4D simplicial grids

We construct the nodal basis of C^m-P_k^(3) (k ≥ 2^3m+1) and C^m-P_k^(4)...

0 Shangyou Zhang, et al. ∙

research

∙ 12/13/2021

A Weak Galerkin Method for Elasticity Interface Problems

This article introduces a weak Galerkin (WG) finite element method for l...

0 Chunmei Wang, et al. ∙

research

∙ 02/28/2021

A weak Galerkin-mixed finite element method for the Stokes-Darcy problem

In this paper, we propose a new numerical scheme for the coupled Stokes-...

0 Hui Peng, et al. ∙

research

∙ 11/24/2020

The Weak Galerkin Finite Element Method for the Transport-Reaction Equation

We present and analyze a weak Galerkin finite element method for solving...

0 Tie Zhang, et al. ∙

research

∙ 11/23/2020

The Weak Galerkin Finite Element Method for the Symmetric Hyperbolic Systems

In this paper, we present and analyze a weak Galerkin finite element (WG...

0 Tie Zhang, et al. ∙

research

∙ 11/03/2020

A stabilizer free, pressure robust, and superconvergence weak Galerkin finite element method for the Stokes Equations on polytopal mesh

In this paper, we propose a new stabilizer free and pressure robust WG m...

0 Lin Mu, et al. ∙

research

∙ 10/04/2020

An interpolated Galerkin finite element method for the Poisson equation

When solving the Poisson equation by the finite element method, we use o...

0 Tatyana Sorokina, et al. ∙

research

∙ 09/28/2020

A P_k+2 polynomial lifting operator on polygons and polyhedrons

A P_k+2 polynomial lifting operator is defined on polygons and polyhedro...

0 Xiu Ye, et al. ∙

research

∙ 09/24/2020

A stabilizer free WG Method for the Stokes Equations with order two superconvergence on polytopal mesh

A stabilizer free WG method is introduced for the Stokes equations with ...

0 Xiu Ye, et al. ∙

research

∙ 09/17/2020

A stabilizer free weak Galerkin finite element method on polytopal mesh: Part III

A weak Galerkin (WG) finite element method without stabilizers was intro...

0 Xiu Ye, et al. ∙

research

∙ 09/09/2020

A mixed finite element method on polytopal mesh

In this paper, we introduce new stable mixed finite elements of any orde...

0 Yanping Lin, et al. ∙

research

∙ 08/28/2020

A stabilizer free weak Galerkin finite element method on polytopal mesh: Part II

A stabilizer free weak Galerkin (WG) finite element method on polytopal ...

0 Xiu Ye, et al. ∙

research

∙ 07/01/2020

A conforming discontinuous Galerkin finite element method for the Stokes problem on polytopal meshes

A new discontinuous Galerkin finite element method for the Stokes equati...

0 Xiu Ye, et al. ∙

research

∙ 06/21/2020

A stabilizer-free pressure-robust finite element method for the Stokes equations

In this paper, we introduce a new finite element method for solving the ...

0 Xiu Ye, et al. ∙

research

∙ 04/28/2020

De Rham Complexes for Weak Galerkin Finite Element Spaces

Two de Rham complex sequences of the finite element spaces are introduce...

0 Chunmei Wang, et al. ∙

research

∙ 04/26/2020

A new weak gradient for the stabilizer free weak Galerkin method with polynomial reduction

The weak Galerkin (WG) finite element method is an effective and flexibl...

0 Xiu Ye, et al. ∙

research

∙ 04/26/2020

Numerical investigation on weak Galerkin finite elements

The weak Galerkin (WG) finite element method is an effective and flexibl...

0 Xiu Ye, et al. ∙

research

∙ 04/22/2020

A stabilizer free weak Galerkin element method with supercloseness of order two

The weak Galerkin (WG) finite element method is an effective and flexibl...

0 Ahmed Al-Taweel, et al. ∙

research

∙ 11/27/2019

Stablizer-Free Weak Galerkin Methods for Monotone Quasilinear Elliptic PDEs

In this paper, we study the stablizer-free weak Galerkin methods on poly...

0 Xiu Ye, et al. ∙

research

∙ 09/18/2019

3D H^2-nonconforming tetrahedral finite elements for the biharmonic equation

In this article, a family of H^2-nonconforming finite elements on tetrah...

0 Jun Hu, et al. ∙

research

∙ 07/22/2019

A conforming DG method for the biharmonic equation on polytopal meshes

A conforming discontinuous Galerkin finite element method is introduced ...

0 Xiu Ye, et al. ∙

research

∙ 07/19/2019

A stabilizer free weak Galerkin method for the Biharmonic Equation on Polytopal Meshes

A new stabilizer free weak Galerkin (WG) method is introduced and analyz...

0 Xiu Ye, et al. ∙

research

∙ 07/01/2019

A conforming discontinuous Galerkin finite element method: Part II

A conforming discontinuous Galerkin (DG) finite element method has been ...

0 Xiu Ye, et al. ∙

research

∙ 06/16/2019

On stabilizer-free weak Galerkin finite element methods on polytopal meshes

A stabilizing/penalty term is often used in finite element methods with ...

0 Xiu Ye, et al. ∙

Shangyou Zhang

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