A recovery-based a posteriori error estimator for H(curl) interface problems

Zhiqiang Cai, Shuhao Cao

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

This paper introduces a new recovery-based a posteriori error estimator for the lowest order Nédélec finite element approximation to the H(. curl) interface problem. The error estimator is analyzed by establishing both the reliability and the efficiency bounds and is supported by numerical results. Under certain assumptions, it is proved that the reliability and efficiency constants are independent of the jumps of the coefficients.

Original languageEnglish (US)
Pages (from-to)169-195
Number of pages27
JournalComputer Methods in Applied Mechanics and Engineering
Volume296
DOIs
StatePublished - Nov 1 2015

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estimators
recovery
Recovery
coefficients
approximation

All Science Journal Classification (ASJC) codes

  • Computational Mechanics
  • Mechanics of Materials
  • Mechanical Engineering
  • Physics and Astronomy(all)
  • Computer Science Applications

Cite this

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abstract = "This paper introduces a new recovery-based a posteriori error estimator for the lowest order N{\'e}d{\'e}lec finite element approximation to the H(. curl) interface problem. The error estimator is analyzed by establishing both the reliability and the efficiency bounds and is supported by numerical results. Under certain assumptions, it is proved that the reliability and efficiency constants are independent of the jumps of the coefficients.",
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A recovery-based a posteriori error estimator for H(curl) interface problems. / Cai, Zhiqiang; Cao, Shuhao.

In: Computer Methods in Applied Mechanics and Engineering, Vol. 296, 01.11.2015, p. 169-195.

Research output: Contribution to journalArticle

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AB - This paper introduces a new recovery-based a posteriori error estimator for the lowest order Nédélec finite element approximation to the H(. curl) interface problem. The error estimator is analyzed by establishing both the reliability and the efficiency bounds and is supported by numerical results. Under certain assumptions, it is proved that the reliability and efficiency constants are independent of the jumps of the coefficients.

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