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7 papers · 2 filters
A Weak Galerkin Finite Element Method for the Maxwell Equations
Lin Mu, Junping Wang, Xiu Ye +1
This paper introduces a numerical scheme for time harmonic Maxwell's equations by using weak Galerkin (WG) finite element methods. The WG finite element method is based on two oper…
A Stable Numerical Algorithm for the Brinkman Equations by Weak Galerkin Finite Element Methods
Lin Mu, Junping Wang, Xiu Ye
This paper presents a stable numerical algorithm for the Brinkman equations by using weak Galerkin (WG) finite element methods. The Brinkman equations can be viewed mathematically…
A Numerical Study on the Weak Galerkin Method for the Helmholtz Equation
Lin Mu, Junping Wang, Xiu Ye +1
A weak Galerkin (WG) method is introduced and numerically tested for the Helmholtz equation. This method is flexible by using discontinuous piecewise polynomials and retains the ma…
An Efficient Numerical Scheme for the Biharmonic Equation by Weak Galerkin Finite Element Methods on Polygonal or Polyhedral Meshes
Chunmei Wang, Junping Wang
This paper presents a new and efficient numerical algorithm for the biharmonic equation by using weak Galerkin (WG) finite element methods. The WG finite element scheme is based on…
A Weak Galerkin Finite Element Method with Polynomial Reduction
Lin Mu, Junping Wang, Xiu Ye
The novel idea of weak Galerkin (WG) finite element methods is on the use of weak functions and their weak derivatives defined as distributions. Weak functions and weak derivatives…
Weak Galerkin Finite Element Methods for the Biharmonic Equation on Polytopal Meshes
Lin Mu, Junping Wang, Xiu Ye
A new weak Galerkin (WG) finite element method is introduced and analyzed in this paper for the biharmonic equation in its primary form. This method is highly robust and flexible i…