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20132024
most citedA primal-dual finite element method for first-order transport problems

24 citations · 112 across the 40 of their papers we have counts for

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Showing 2021 · math.NAShow all

5 papers · 2 filters

math.NA2021★ 1 cited

A Weak Galerkin Method for Elasticity Interface Problems

Chunmei Wang, Shangyou Zhang

This article introduces a weak Galerkin (WG) finite element method for linear elasticity interface problems on general polygonal/ployhedra partitions. The developed WG method has b…

math.NA2021★ 4 cited

Active Learning Based Sampling for High-Dimensional Nonlinear Partial Differential Equations

Wenhan Gao, Chunmei Wang

The deep-learning-based least squares method has shown successful results in solving high-dimensional non-linear partial differential equations (PDEs). However, this method usually…

math.NA2021

An - Primal-Dual Weak Galerkin Method for Convection-Diffusion Equations

Waixiang Cao, Chunmei Wang, Junping Wang

In this article, the authors present a new - primal-dual weak Galerkin method (-PDWG) for convection-diffusion equations with . The existence and uniqueness of the n…

math.NA2021★ 2 cited

Adaptive Learning on the Grids for Elliptic Hemivariational Inequalities

Jianguo Huang, Chunmei Wang, Haoqin Wang

This paper introduces a deep learning method for solving an elliptic hemivariational inequality (HVI). In this method, an expectation minimization problem is first formulated based…

math.NA2021

A New Numerical Method for Div-Curl Systems with Low Regularity Assumptions

Shuhao Cao, Chunmei Wang, Junping Wang

This paper presents a numerical method for div-curl systems with normal boundary conditions by using a finite element technique known as primal-dual weak Galerkin (PDWG). The PDWG…