An adaptive time stepping method with efficient error control for second-order evolution problems

Jian Guo Huang, Jun Jiang Lai, Tao TANG

Research output: Contribution to journalArticlepeer-review

8 Citations (Scopus)

Abstract

This work is concerned with time stepping finite element methods for abstract second order evolution problems. We derive optimal order a posteriori error estimates and a posteriori nodal superconvergence error estimates using the energy approach and the duality argument. With the help of the a posteriori error estimator developed in this work, we will further propose an adaptive time stepping strategy. A number of numerical experiments are performed to illustrate the reliability and efficiency of the a posteriori error estimates and to assess the effectiveness of the proposed adaptive time stepping method.

Original languageEnglish
Pages (from-to)2753-2771
Number of pages19
JournalScience China Mathematics
Volume56
Issue number12
DOIs
Publication statusPublished - Dec 2013

Scopus Subject Areas

  • Mathematics(all)

User-Defined Keywords

  • a posteriori error analysis
  • adaptive algorithm
  • evolution problems
  • reconstruction

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