Nonconforming discretizations of convex minimization problems and precise relations to mixed methods
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Publication:2027591
DOI10.1016/j.camwa.2021.04.014OpenAlexW3158123692MaRDI QIDQ2027591
Publication date: 27 May 2021
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2002.02359
Numerical optimization and variational techniques (65K10) Boundary value problems for second-order elliptic equations (35J25) Finite element methods applied to problems in solid mechanics (74S05) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)
Related Items (11)
Singular solutions, graded meshes,and adaptivity for total-variation regularized minimization problems ⋮ Approximation Schemes for Materials with Discontinuities ⋮ Crouzeix-Raviart finite element method for non-autonomous variational problems with Lavrentiev gap ⋮ Numerical approximation of probabilistically weak and strong solutions of the stochastic total variation flow ⋮ Explicit and efficient error estimation for convex minimization problems ⋮ Convergence analysis of a Local Discontinuous Galerkin approximation for nonlinear systems with balanced Orlicz-structure ⋮ Relaxed Kačanov Scheme for the \(\boldsymbol{p}\)-Laplacian with Large Exponent ⋮ A Local Discontinuous Galerkin Approximation for the p-Navier–Stokes System, Part I: Convergence Analysis ⋮ Total Generalized Variation for Piecewise Constant Functions on Triangular Meshes with Applications in Imaging ⋮ Orthogonality relations of Crouzeix-Raviart and Raviart-Thomas finite element spaces ⋮ Error estimates for total-variation regularized minimization problems with singular dual solutions
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