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Adaptive energy minimisation for hp-finite element methods

Houston, Paul; Wihler, Thomas P.

Authors

PAUL HOUSTON paul.houston@nottingham.ac.uk
Professor of Computational and Applied Maths

Thomas P. Wihler wihler@math.unibe.ch



Abstract

This article is concerned with the numerical solution of convex variational problems. More precisely, we develop an iterative minimisation technique which allows for the successive enrichment of an underlying discrete approximation space in an adaptive manner. Specifically, we outline a new approach in the context of hp-adaptive finite element methods employed for the efficient numerical solution of linear and nonlinear second-order boundary value problems. Numerical experiments are presented which highlight the practical performance of this new hp-refinement technique for both one- and two-dimensional problems.

Citation

Houston, P., & Wihler, T. P. (2016). Adaptive energy minimisation for hp-finite element methods. Computers and Mathematics with Applications, 71(4), https://doi.org/10.1016/j.camwa.2016.01.002

Journal Article Type Article
Acceptance Date Jan 9, 2016
Publication Date Feb 10, 2016
Deposit Date Aug 27, 2015
Publicly Available Date Feb 10, 2016
Journal Computers and Mathematics with Applications
Print ISSN 0898-1221
Electronic ISSN 0898-1221
Publisher Elsevier
Peer Reviewed Peer Reviewed
Volume 71
Issue 4
DOI https://doi.org/10.1016/j.camwa.2016.01.002
Public URL http://eprints.nottingham.ac.uk/id/eprint/29676
Publisher URL http://www.sciencedirect.com/science/article/pii/S0898122116000055
Copyright Statement Copyright information regarding this work can be found at the following address: http://creativecommons.org/licenses/by-nc-nd/4.0

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Copyright Statement
Copyright information regarding this work can be found at the following address: http://creativecommons.org/licenses/by-nc-nd/4.0





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