Title

Hodge decomposition for divergence-free vector fields and two-dimensional Maxwell's equations

Document Type

Article

Publication Date

3-30-2012

Abstract

We propose a new numerical approach for two-dimensional Maxwell's equations that is based on the Hodge decomposition for divergencefree vector fields. In this approach an approximate solution for Maxwell's equations can be obtained by solving standard second order scalar elliptic boundary value problems. This new approach is illustrated by a P finite element method. © 2011 American Mathematical Society. 1

Publication Source (Journal or Book title)

Mathematics of Computation

First Page

643

Last Page

659

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