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

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

Résumé

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.

langue originale	Anglais
Pages (de - à)	193-219
Nombre de pages	27
journal	Numerische Mathematik
Volume	82
Numéro de publication	2
Les DOIs	https://doi.org/10.1007/s002110050417
état	Publié - 1 janv. 1999

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10.1007/s002110050417

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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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AU - Zou, Jun

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N2 - 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.

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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U2 - 10.1007/s002110050417

DO - 10.1007/s002110050417

M3 - Article

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SN - 0029-599X

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JO - Numerische Mathematik

JF - Numerische Mathematik

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

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