Adaptive energy minimisation for hp-finite element methods

Houston, Paul; Wihler, Thomas (2016). Adaptive energy minimisation for hp-finite element methods. Computers and mathematics with applications, 71(4), pp. 977-990. Elsevier 10.1016/j.camwa.2016.01.002

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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.

Item Type:

Journal Article (Original Article)

Division/Institute:

08 Faculty of Science > Department of Mathematics and Statistics > Institute of Mathematics

UniBE Contributor:

Wihler, Thomas

Subjects:

500 Science > 510 Mathematics

ISSN:

0898-1221

Publisher:

Elsevier

Language:

English

Submitter:

Olivier Bernard Mila

Date Deposited:

13 Jul 2017 15:52

Last Modified:

01 Mar 2018 02:30

Publisher DOI:

10.1016/j.camwa.2016.01.002

BORIS DOI:

10.7892/boris.98601

URI:

https://boris.unibe.ch/id/eprint/98601

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