7 citations · 17 across the 5 of their papers we have counts for
5 papers
A Coupled Conforming-Nonconforming Galerkin Method for Poisson's Equation on Curved Domains
Qingguang Guan, Wenju Zhao
A coupled conforming-nonconforming Galerkin method is proposed for Poisson's equation on two-dimensional curved domains. The method applies a weak Galerkin discretization only on a…
Modeling calcium dynamics in neurons with endoplasmic reticulum: existence, uniqueness and an implicit-explicit finite element scheme
Qingguang Guan, Gillian Queisser
Like many other biological processes, calcium dynamics in neurons containing an endoplasmic reticulum are governed by diffusion-reaction equations on interface-separated domains. I…
Weak Galerkin finite element method for second order problems on curvilinear polytopal meshes with Lipschitz continuous edges or faces
Qingguang Guan, Gillian Queisser, Wenju Zhao
In this paper, we propose new basis functions defined on curved sides or faces of curvilinear elements (polygons or polyhedrons with curved sides or faces) for the weak Galerkin fi…
Weak Galerkin finite element method for Poisson's equation on polytopal meshes with arbitrary small edges or faces
Qingguang Guan
In this paper, the weak Galerkin finite element method for second order elliptic problems employing polygonal or polyhedral meshes with arbitrary small edges or faces was analyzed.…
Some Estimates of Virtual Element Methods for Fourth Order Problems
Qingguang Guan
In this paper, we employ the techniques developed for second order operators to obtain the new estimates of Virtual Element Method for fourth order operators. The analysis is based…