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

Zhiqiang Cai; Shuhao Cao

doi:10.1016/j.cma.2015.08.002

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

Zhiqiang Cai, Shuhao Cao

Mathematics

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18 Scopus citations

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 language	English (US)
Pages (from-to)	169-195
Number of pages	27
Journal	Computer Methods in Applied Mechanics and Engineering
Volume	296
DOIs	https://doi.org/10.1016/j.cma.2015.08.002
State	Published - Nov 1 2015

All Science Journal Classification (ASJC) codes

Computational Mechanics
Mechanics of Materials
Mechanical Engineering
General Physics and Astronomy
Computer Science Applications

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10.1016/j.cma.2015.08.002

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title = "A recovery-based a posteriori error estimator for H(curl) interface problems",

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.",

author = "Zhiqiang Cai and Shuhao Cao",

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AU - Cao, Shuhao

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N2 - 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.

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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JO - Computer Methods in Applied Mechanics and Engineering

JF - Computer Methods in Applied Mechanics and Engineering

ER -

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

Abstract

All Science Journal Classification (ASJC) codes

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