A posteriori error estimate for finite volume element method of the parabolic equations | Zendy

Chen Chuanjun | Zendy; Zhao Xin | Zendy

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A posteriori error estimate for finite volume element method of the parabolic equations

Author(s) -

Chen Chuanjun,

Zhao Xin

Publication year - 2017

Publication title -

numerical methods for partial differential equations

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.901

H-Index - 61

eISSN - 1098-2426

pISSN - 0749-159X

DOI - 10.1002/num.22085

Subject(s) - estimator , a priori and a posteriori , mathematics , residual , finite element method , partial differential equation , error analysis , mathematical optimization , mathematical analysis , statistics , algorithm , thermodynamics , philosophy , physics , epistemology

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

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