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Preprint . 2023
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Part of book or chapter of book . 2024 . Peer-reviewed
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Article . 2023
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Minimization of Energy Functionals via FEM: Implementation of hp-FEM

descriptionPublicationkeyboard_double_arrow_right Part of book or chapter of book , Article , Preprint 01 Jan 2024Embargo end date: 01 Jan 2023 English Publisher:Springer Nature Switzerland
Authors: Frost, Miroslav; Moskovka, Alexej; Valdman, Jan;

doi: 10.1007/978-3-031-56208-2_31 , 10.48550/arxiv.2309.13028

arXiv: http://arxiv.org/abs/2309.13028

Minimization of Energy Functionals via FEM: Implementation of hp-FEM

Abstract

Many problems in science and engineering can be rigorously recast into minimizing a suitable energy functional. We have been developing efficient and flexible solution strategies to tackle various minimization problems by employing finite element discretization with P1 triangular elements [1,2]. An extension to rectangular hp-finite elements in 2D is introduced in this contribution.

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Keywords

Computational Engineering, Finance, and Science (cs.CE), FOS: Computer and information sciences, Computer Science - Computational Engineering, Finance, and Science

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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
Green