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Journal of Scientific Computing
Published in: Journal of Scientific Computing 2-3/2017

20-05-2017

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

Authors: Susanne C. Brenner, Jiguang Sun, Li-yeng Sung

Published in: Journal of Scientific Computing | Issue 2-3/2017

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Abstract

We develop and analyze \(P_k\) 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.
previous article High Order Schemes for Hyperbolic Problems Using Globally Continuous Approximation and Avoiding Mass Matrices
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Metadata
Title
Hodge Decomposition Methods for a Quad-Curl Problem on Planar Domains
Authors
Susanne C. Brenner
Jiguang Sun
Li-yeng Sung
Publication date
20-05-2017
Publisher
Springer US
Published in
Journal of Scientific Computing / Issue 2-3/2017
Print ISSN: 0885-7474
Electronic ISSN: 1573-7691
DOI
https://doi.org/10.1007/s10915-017-0449-0

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