Uniform convergence of finite volume element method with Crouzeix-Raviart element for non-self-adjoint and indefinite elliptic problems

Authors:
Chunjia Bi;Hongxing Rui
Affiliations:
Department of Mathematics, Yantai University, Yantai, Shandong 264005, China;School of Mathematics and System Science, Shandong University, Jinan 250100, China
Venue:
Journal of Computational and Applied Mathematics
Year:
2007

Citing 7
Cited 0

Generalized difference methods for a nonlinear Dirichlet problem

SIAM Journal on Numerical Analysis
Some errors estimates for the box method

SIAM Journal on Numerical Analysis
On the accuracy of the finite volume element method for diffusion equations on composite grids

SIAM Journal on Numerical Analysis
Some new error estimates for Ritz-Galerkin methods with minimal regularity assumptions

Mathematics of Computation
On the Finite Volume Element Method for General Self-Adjoint Elliptic Problems

SIAM Journal on Numerical Analysis
Finite Element Method for Elliptic Problems

Finite Element Method for Elliptic Problems
On the Accuracy of the Finite Volume Element Method Based on Piecewise Linear Polynomials

SIAM Journal on Numerical Analysis

Quantified Score

Hi-index	7.29

Visualization

Abstract

In this paper, we consider the finite volume element method based on the Crouzeix-Raviart element and prove the existence, uniqueness and uniform convergence of the finite volume element approximations for the non-self-adjoint and indefinite elliptic problems under minimal elliptic regularity assumption.