An Enhanced Finite Element Method for a Class of Variational Problems Exhibiting the Lavrentiev Gap Phenomenon

DOI10.4208/cicp.OA-2017-0046zbMath1488.65612arXiv1610.03111OpenAlexW2964111397MaRDI QIDQ5160059

Stefan Schnake, Xiaobing Feng

Publication date: 28 October 2021

Published in: Communications in Computational Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1610.03111

zbMATH Keywords

singularitiesenergy functionalminimizersfinite element methodsvariational problemsLavrentiev gap phenomenoncut-off procedure

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Variational methods applied to PDEs (35A15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items (1)

Crouzeix-Raviart finite element method for non-autonomous variational problems with Lavrentiev gap

Uses Software

• Matlab
• fminunc

Cites Work

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• A numerical method for detecting singular minimizers
• The Lavrentiev gap phenomenon in nonlinear elasticity
• A numerical method for computing singular minimizers
• Nonconforming finite-element discretization of convex variational problems
• Element removal method for singular minimizers in variational problems involving Lavrentiev phenomenon
• Analysis of a Class of Penalty Methods for Computing Singular Minimizers
• A TRUNCATION METHOD FOR DETECTING SINGULAR MINIMIZERS INVOLVING THE LAVRENTIEV PHENOMENON

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