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09/19/2023
Stabilizer-free polygonal and polyhedral virtual elements
Stabilizer-free P_k virtual elements are constructed on polygonal and po...
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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...
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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 ...
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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 ...
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06/25/2023
High Order Morley Elements for Biharmonic Equations on Polytopal Partitions
This paper introduces an extension of the Morley element for approximati...
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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...
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10/29/2022
Weak Galerkin Finite Element Methods for Quad-Curl Problems
This article introduces a weak Galerkin (WG) finite element method for q...
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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...
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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)...
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12/13/2021
A Weak Galerkin Method for Elasticity Interface Problems
This article introduces a weak Galerkin (WG) finite element method for l...
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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-...
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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...
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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...
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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...
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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...
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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...
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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 ...
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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...
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09/09/2020
A mixed finite element method on polytopal mesh
In this paper, we introduce new stable mixed finite elements of any orde...
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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 ...
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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...
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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 ...
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04/28/2020
De Rham Complexes for Weak Galerkin Finite Element Spaces
Two de Rham complex sequences of the finite element spaces are introduce...
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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...
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04/26/2020
Numerical investigation on weak Galerkin finite elements
The weak Galerkin (WG) finite element method is an effective and flexibl...
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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...
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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...
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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...
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07/22/2019
A conforming DG method for the biharmonic equation on polytopal meshes
A conforming discontinuous Galerkin finite element method is introduced ...
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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...
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07/01/2019
A conforming discontinuous Galerkin finite element method: Part II
A conforming discontinuous Galerkin (DG) finite element method has been ...
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06/16/2019