Unified Analysis of Finite Volume Methods for Second Order Elliptic Problems

Author(s)

So-Hsiang Chou, Bowling Green State UniversityFollow
Xiu Ye

Document Type

Article

Abstract

We establish a general framework for analyzing the class of finite volume methods which employ continuous or totally discontinuous trial functions and piecewise constant test functions. Under the framework, optimal order convergence in the H1 and L2 norms can be obtained in a natural and systematic way for classical finite volume methods and new finite volume methods such as discontinuous finite volume methods applied to second order elliptic problem

Copyright Statement

Publisher PDF

Repository Citation

Chou, So-Hsiang and Ye, Xiu, "Unified Analysis of Finite Volume Methods for Second Order Elliptic Problems" (2007). Mathematics and Statistics Faculty Publications. 3.
https://scholarworks.bgsu.edu/math_stat_pub/3

Publication Date

2007

Publication Title

SIAM Journal on Numerical Analysis

Publisher

Society for Industrial and Applied Mathematics

DOI

https://doi.org/10.1137/050643994

Volume

45

Issue

4

Start Page No.

1639

End Page No.

1653