Hodge Decomposition Methods for a Quad-Curl Problem on Planar Domains

Document Type

Article

Publication Date

12-2017

Department

Department of Mathematical Sciences

Abstract

We develop and analyze Pk Lagrange finite element methods for a quad-curl problem on planar domains that is based on the Hodge decomposition of divergence-free vector fields. Numerical results that illustrate the performance of the finite element methods are also presented.

Publication Title

Journal of Scientific Computing

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