Title

A locally divergence-free nonconforming finite element method for the time-harmonic maxwell equations

Document Type

Article

Publication Date

4-1-2007

Abstract

A new numerical method for computing the divergence-free part of the solution of the time-harmonic Maxwell equations is studied in this paper. It is based on a discretization that uses the locally divergence-free Crouzeix-Raviart nonconforming P vector fields and includes a consistency term involving the jumps of the vector fields across element boundaries. Optimal convergence rates (up to an arbitrary positive ε) in both the energy norm and the L norm are established on graded meshes. The theoretical results are confirmed by numerical experiments. © 2006 American Mathematical Society. 1 2

Publication Source (Journal or Book title)

Mathematics of Computation

First Page

573

Last Page

595

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