A posteriori error estimates based on superconvergence of FEM for fractional evolution equations-Reference-Cited by-同舟云学术

A posteriori error estimates based on superconvergence of FEM for fractional evolution equations

Published:2021-01-01 Issue:1 Volume:19 Page:1210-1222
ISSN:2391-5455
Container-title:Open Mathematics
language:en
Short-container-title:

Author:

Tang Yuelong¹,Hua Yuchun¹

Affiliation:

1. Institute of Computational Mathematics, College of Science, Hunan University of Science and Engineering , Yongzhou 425100 , P. R. China

Abstract

Abstract In this paper, we consider an approximation scheme for fractional evolution equation with variable coefficient. The space derivative is approximated by triangular finite element and the time fractional derivative is evaluated by the L1 approximation. The main aim of this work is to provide convergence and superconvergence analysis and derive a posteriori error estimates. Some numerical examples are presented to demonstrate our theoretical results.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/math-2021-0099/pdf

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