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

Authors:
Eldad Haber;Stefan Heldmann
Affiliations:
Department of Mathematics and Computer Science, Emory University, 400 Dowman Drive Suite W 401, Atlanta, GA 30322, United States;Department of Mathematics and Computer Science, Emory University, 400 Dowman Drive Suite W 401, Atlanta, GA 30322, United States
Venue:
Journal of Computational Physics
Year:
2007

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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.