Nonconforming finite-element discretization of convex variational problems

DOI10.1093/imanum/drq004zbMath1228.65098OpenAlexW2115906727MaRDI QIDQ3088340

Christoph Ortner

Publication date: 19 August 2011

Published in: IMA Journal of Numerical Analysis (Search for Journal in Brave)

Full work available at URL: http://wrap.warwick.ac.uk/43773/1/WRAP_Ortner_8-lavrentiev_nc.pdf

zbMATH Keywords

calculus of variationsLavrentiev phenomenonnonconforming FEM

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10)

Related Items (11)

Adaptive Least-Squares, Discontinuous Petrov-Galerkin, and Hybrid High-Order Methods ⋮ Crouzeix-Raviart finite element method for non-autonomous variational problems with Lavrentiev gap ⋮ Convergent adaptive hybrid higher-order schemes for convex minimization ⋮ Crouzeix-Raviart approximation of the total variation on simplicial meshes ⋮ Approximating the total variation with finite differences or finite elements ⋮ An Enhanced Finite Element Method for a Class of Variational Problems Exhibiting the Lavrentiev Gap Phenomenon ⋮ Nonconforming discretizations of convex minimization problems and precise relations to mixed methods ⋮ Gradient schemes for linear and non-linear elasticity equations ⋮ The nonconforming virtual element method ⋮ A nonconforming virtual element method for the Stokes problem on general meshes ⋮ Unstabilized Hybrid High-order Method for a Class of Degenerate Convex Minimization Problems

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