A posteriori error estimate for finite volume element method of the parabolic equations. Issue 1 (2nd August 2016)

• Record Type: Journal Article
• Authors: Chen, Chuanjun; Zhao, Xin
• Is Part Of: Numerical methods for partial differential equations. Volume 33:Issue 1(2017:Jan.)
• Page Start: 259
• Page End: 275
• Publication Date: 2016-08-02
• Subjects: finite volume element method -- a posteriori error estimate -- parabolic equations -- error bounds; Differential equations, Partial -- Numerical solutions -- Periodicals; 515.353
• DOI: 10.1002/num.22085
• Languages: English
• ISSNs: 0749-159X

Abstract

Abstract : In this article, residual‐type a posteriori error estimates are studied for finite volume element (FVE) method of parabolic equations. Residual‐type a posteriori error estimator is constructed and the reliable and efficient bounds for the error estimator are established. Residual‐type a posteriori error estimator can be used to assess the accuracy of the FVE solutions in practical applications. Some numerical examples are provided to confirm the theoretical results. © 2016 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 33: 259–275, 2017