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CCT-TR-2006-1
Title:
A Locally Divergence-Free Interior Penalty Method for Two-Dimensional Curl-Curl Problems
Authors:
Susanne C. Brenner, Department of Mathematics and Center for Computation
and Technology, Louisiana State University, Baton Rouge, LA 70803
Fengyan Li, Department of Mathematical Sciences, Rensselaer Polytechnic
University, Troy, NY 12180
Li-yeng Sung, Department of Mathematics, Louisiana State University, Baton
Rouge, LA 70803
Summary:
An interior penalty method for certain two-dimensional curl-curl problems
is investigated in this paper. This method
computes the divergence-free part of the solution using locally
divergence-free discontinuous P1 vector fields on graded meshes. It
has optimal order convergence (up to an arbitrarily small ε) for
the source problem and the
eigenproblem. Results of numerical experiments that corroborate the
theoretical results are also presented.
Download Article:
CCT-TR-2006-1.pdf
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