Error Analysis of a Finite Element-Integral Equation Scheme for Approximating the Time-Harmonic Maxwell System

In 1996 Hazard and Lenoir suggested a variational formulation of Maxwell's equations using an overlapping integral equation and volume representation of the solution [SIAM J. Math. Anal., 27 (1996), pp. 1597-1630]. They suggested a numerical scheme based on this approach, but no error analysis...

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Bibliographic Details
Published in:	SIAM journal on numerical analysis Vol. 40; no. 1; pp. 198 - 219
Main Authors:	Hsiao, G. C., Monk, P. B., N. Nigam
Format:	Journal Article
Language:	English
Published:	Philadelphia, PA Society for Industrial and Applied Mathematics 01.01.2003
Subjects:	Applied classical electromagnetism Boundary conditions Discrete problems Electric fields Electromagnetic wave propagation, radiowave propagation Electromagnetism; electron and ion optics Error analysis Exact sciences and technology Finite element method Fundamental areas of phenomenology (including applications) Mathematical vectors Mathematics Maxwell equations Numerical analysis Numerical analysis. Scientific computation Partial differential equations, boundary value problems Physics Polynomials Sciences and techniques of general use Tetrahedrons Convergence of numerical methods Electromagnetism Error estimation Edge finite element Partial differential equation Fredholm equation Scattering theory Finite element method Compact operator Numerical analysis Maxwell equation Integral representation Mathematical physics
ISSN:	0036-1429
Online Access:	Get full text
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