An octree multigrid method for quasi-static Maxwell's equations with highly discontinuous coefficients

Eldad Haber; Stefan Heldmann

doi:10.1016/j.jcp.2006.10.012

An octree multigrid method for quasi-static Maxwell's equations with highly discontinuous coefficients

Eldad Haber^*, Stefan Heldmann

^*Corresponding author for this work

Institute of Mathematics and Image Computing

Emory University

109 Citations (Scopus)

Abstract

In this paper we develop an OcTree discretization for Maxwell's equations in the quasi-static regime. We then use this discretization in order to develop a multigrid method for Maxwell's equations with highly discontinuous coefficients. We test our algorithms and compare it to other multilevel algorithms.

Original language	English
Journal	Journal of Computational Physics
Volume	223
Issue number	2
Pages (from-to)	783-796
Number of pages	14
ISSN	0021-9991
DOIs	https://doi.org/10.1016/j.jcp.2006.10.012
Publication status	Published - 01.05.2007

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10.1016/j.jcp.2006.10.012

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title = "An octree multigrid method for quasi-static Maxwell's equations with highly discontinuous coefficients",

abstract = "In this paper we develop an OcTree discretization for Maxwell's equations in the quasi-static regime. We then use this discretization in order to develop a multigrid method for Maxwell's equations with highly discontinuous coefficients. We test our algorithms and compare it to other multilevel algorithms.",

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AU - Heldmann, Stefan

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N2 - In this paper we develop an OcTree discretization for Maxwell's equations in the quasi-static regime. We then use this discretization in order to develop a multigrid method for Maxwell's equations with highly discontinuous coefficients. We test our algorithms and compare it to other multilevel algorithms.

AB - In this paper we develop an OcTree discretization for Maxwell's equations in the quasi-static regime. We then use this discretization in order to develop a multigrid method for Maxwell's equations with highly discontinuous coefficients. We test our algorithms and compare it to other multilevel algorithms.

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U2 - 10.1016/j.jcp.2006.10.012

DO - 10.1016/j.jcp.2006.10.012

M3 - Journal articles

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EP - 796

JO - Journal of Computational Physics

JF - Journal of Computational Physics

IS - 2

ER -

An octree multigrid method for quasi-static Maxwell's equations with highly discontinuous coefficients

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