A Quantitative Description of Mesh Dependence for the Discretization of Singularly Perturbed Nonconvex Problems
From MaRDI portal
Publication:3168504
DOI10.1137/110822001zbMath1258.35012OpenAlexW2086002908MaRDI QIDQ3168504
Publication date: 31 October 2012
Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://semanticscholar.org/paper/dcc2e811f1c6e8ac58cec73a8f6abdda42f11b99
Numerical optimization and variational techniques (65K10) Singular perturbations in context of PDEs (35B25) Discrete approximations in optimal control (49M25)
Related Items (10)
Large data limit for a phase transition model with the p-Laplacian on point clouds ⋮ Chirality transitions in frustrated S2-valued spin systems ⋮ Discrete stochastic approximations of the Mumford-Shah functional ⋮ A derivation of Griffith functionals from discrete finite-difference models ⋮ Quantitative analysis of finite-difference approximations of free-discontinuity problems ⋮ Variational Analysis of a Two-Dimensional Frustrated Spin System: Emergence and Rigidity of Chirality Transitions ⋮ A diffuse interface model for two-phase ferrofluid flows ⋮ Random Finite-Difference Discretizations of the Ambrosio--Tortorelli Functional with Optimal Mesh-Size ⋮ Frustrated ferromagnetic spin chains: a variational approach to chirality transitions ⋮ Continuum limit of total variation on point clouds
This page was built for publication: A Quantitative Description of Mesh Dependence for the Discretization of Singularly Perturbed Nonconvex Problems