Adaptive finite element method for the Maxwell Eigenvalue problem

Daniele Boffi; Lucia Gastaldi

doi:10.1137/18M1179389

Adaptive finite element method for the Maxwell Eigenvalue problem

Daniele Boffi, Lucia Gastaldi

Research output: Contribution to journal › Article › peer-review

9 Scopus citations

Abstract

In this paper we prove the optimal convergence of a standard adaptive scheme based on edge finite elements for the approximation of the solutions of the eigenvalue problem associated with Maxwell's equations. The proof uses the known equivalence of the problem of interest with a mixed eigenvalue problem.

Original language	English (US)
Pages (from-to)	478-494
Number of pages	17
Journal	SIAM Journal on Numerical Analysis
Volume	57
Issue number	1
DOIs	https://doi.org/10.1137/18M1179389
State	Published - Jan 1 2019
Externally published	Yes

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Generated from Scopus record by KAUST IRTS on 2020-05-05

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title = "Adaptive finite element method for the Maxwell Eigenvalue problem",

abstract = "In this paper we prove the optimal convergence of a standard adaptive scheme based on edge finite elements for the approximation of the solutions of the eigenvalue problem associated with Maxwell's equations. The proof uses the known equivalence of the problem of interest with a mixed eigenvalue problem.",

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AU - Gastaldi, Lucia

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Y1 - 2019/1/1

N2 - In this paper we prove the optimal convergence of a standard adaptive scheme based on edge finite elements for the approximation of the solutions of the eigenvalue problem associated with Maxwell's equations. The proof uses the known equivalence of the problem of interest with a mixed eigenvalue problem.

AB - In this paper we prove the optimal convergence of a standard adaptive scheme based on edge finite elements for the approximation of the solutions of the eigenvalue problem associated with Maxwell's equations. The proof uses the known equivalence of the problem of interest with a mixed eigenvalue problem.

UR - https://epubs.siam.org/doi/10.1137/18M1179389

UR - http://www.scopus.com/inward/record.url?scp=85062974940&partnerID=8YFLogxK

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JF - SIAM Journal on Numerical Analysis

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Adaptive finite element method for the Maxwell Eigenvalue problem

Abstract

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