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Junping Wang

Researcher at National Science Foundation

Publications -  24
Citations -  1375

Junping Wang is an academic researcher from National Science Foundation. The author has contributed to research in topics: Galerkin method & Finite element method. The author has an hindex of 14, co-authored 24 publications receiving 1079 citations. Previous affiliations of Junping Wang include University of Arkansas at Little Rock.

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A weak Galerkin finite element method for the stokes equations

TL;DR: In this article, a weak Galerkin (WG) finite element method for the Stokes equations in the primal velocity-pressure formulation is introduced. But this method is designed on finite element partitions consisting of arbitrary shape of polygons or polyhedra which are shape regular.
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A Weak Galerkin Finite Element Method for the Maxwell Equations

TL;DR: In this paper, a numerical scheme for the time-harmonic Maxwell equations by using weak Galerkin (WG) finite element methods is introduced, which is based on two operators: discrete weak curl and discrete weak gradient, with appropriately defined stabilizations that enforce a weak continuity of the approximating functions.
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Weak Galerkin Finite Element Methods for the Biharmonic Equation on Polytopal Meshes

TL;DR: In this paper, a weak Galerkin (WG) finite element method is introduced and analyzed for the biharmonic equation in its primary form, and the resulting WG finite element formulation is symmetric, positive definite, and parameter-free.
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Weak Galerkin finite element methods for the biharmonic equation on polytopal meshes

TL;DR: In this article, a weak Galerkin (WG) finite element method is introduced and analyzed for the biharmonic equation in its primary form, and the resulting WG finite element formulation is symmetric, positive definite, and parameter-free.
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Weak Galerkin methods for second order elliptic interface problems

TL;DR: A weak Galerkin finite element method (WG-FEM) is developed in this paper for solving elliptic PDEs with discontinuous coefficients and interfaces and it is proved that high order numerical schemes can be designed by using the WG- FEM with polynomials of high order on each element.