138 citations · 489 across the 53 of their papers we have counts for
56 papers
Beyond Taylor: Divergence-Based Functional Expansions and Their Application to Numerical Integration
Junping Wang
This paper introduces a new functional expansion framework that extends classical ideas beyond the Taylor series. Unlike traditional Taylor expansions based on local polynomial app…
A Generalized Weak Galerkin Method for Linear Elasticity with Nonpolynomial Approximations
Junping Wang, Yue Wang
This paper presents a generalized weak Galerkin (gWG) finite element method for linear elasticity problems on general polygonal and polyhedral meshes. The proposed framework is fle…
High Order Morley Elements for Biharmonic Equations on Polytopal Partitions
Dan Li, Chunmei Wang, Junping Wang +1
This paper introduces an extension of the Morley element for approximating solutions to biharmonic equations. Traditionally limited to piecewise quadratic polynomials on triangular…
Generalized weak Galerkin finite element methods for second order elliptic problems
Dan Li, Chunmei Wang, Junping Wang +1
This article proposes and analyzes the generalized weak Galerkin ({\rm g}WG) finite element method for the second order elliptic problem. A generalized discrete weak gradient opera…
Generalized Weak Galerkin Finite Element Methods for Biharmonic Equations
Dan Li, Chunmei Wang, Junping Wang
The generalized weak Galerkin (gWG) finite element method is proposed and analyzed for the biharmonic equation. A new generalized discrete weak second order partial derivative is i…
An -primal-dual finite element method for first-order transport problems
Dan Li, Chunmei Wang, Junping Wang
A new -primal-dual weak Galerkin method (-PDWG) with is proposed for the first-order transport problems. The existence and uniqueness of the -PDWG numerical so…