Fully discrete finite element approaches for time-dependent Maxwell's equations

P. Ciarlet; Jun Zou

doi:10.1007/s002110050417

Fully discrete finite element approaches for time-dependent Maxwell's equations

P. Ciarlet
, Jun Zou

The Chinese University of Hong Kong

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

159 Citations (Scopus)

Abstract

A fully discrete finite element method is used to approximate the electric field equation derived from time-dependent Maxwell's equations in three dimensional polyhedral domains. Optimal energy-norm error estimates are achieved for general Lipschitz polyhedral domains. Optimal L²-norm error estimates are obtained for convex polyhedral domains.

Original language	English
Pages (from-to)	193-219
Number of pages	27
Journal	Numerische Mathematik
Volume	82
Issue number	2
DOIs	https://doi.org/10.1007/s002110050417
Publication status	Published - 1 Jan 1999

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title = "Fully discrete finite element approaches for time-dependent Maxwell's equations",

abstract = "A fully discrete finite element method is used to approximate the electric field equation derived from time-dependent Maxwell's equations in three dimensional polyhedral domains. Optimal energy-norm error estimates are achieved for general Lipschitz polyhedral domains. Optimal L2-norm error estimates are obtained for convex polyhedral domains.",

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AB - A fully discrete finite element method is used to approximate the electric field equation derived from time-dependent Maxwell's equations in three dimensional polyhedral domains. Optimal energy-norm error estimates are achieved for general Lipschitz polyhedral domains. Optimal L2-norm error estimates are obtained for convex polyhedral domains.

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JO - Numerische Mathematik

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Fully discrete finite element approaches for time-dependent Maxwell's equations

Abstract

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