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

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We develop and analyze $$P_k$$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… Click to show full abstract

We develop and analyze $$P_k$$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.

Keywords: planar domains; hodge decomposition; methods quad; curl problem; quad curl; problem planar

Journal Title: Journal of Scientific Computing
Year Published: 2017

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