A h p-discontinuous Galerkin method for the time-dependent Maxwell's equation: a priori error estimate

C. Daveau; A. Zaghdani

doi:10.1007/s12190-008-0153-1

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A h p-discontinuous Galerkin method for the time-dependent Maxwell's equation: a priori error estimate

Journal article

Peer reviewed

A h p-discontinuous Galerkin method for the time-dependent Maxwell's equation: a priori error estimate

C. Daveau and A. Zaghdani

Journal of applied mathematics & computing, Vol.30(1-2), pp.1-8

01/05/2009

DOI: https://doi.org/10.1007/s12190-008-0153-1

Abstract

Mathematics

Mathematics, Applied

Physical Sciences

Science & Technology

A discontinuous Galerkin method for the numerical approximation for the time-dependent Maxwell's equations in "stable medium" with supraconductive boundary, is introduced and analysed. its hp-analysis is carried out and error estimates that are optimal in the meshsize h and slightly suboptimal in the approximation degree p are obtained.

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Title: A h p-discontinuous Galerkin method for the time-dependent Maxwell's equation: a priori error estimate
Creators - without role: C. Daveau - Information Processing and System Research Lab
A. Zaghdani - Information Processing and System Research Lab
Publication Details: Journal of applied mathematics & computing, Vol.30(1-2), pp.1-8
Publisher: Springer Nature
Number of pages: 8
Identifiers: 9919162708331
Academic Unit: Northern Borders University
Language: English
Resource Type: Journal article