Convergence for stabilisation of degenerately convex minimisation problems

DOI10.4171/IFB/99zbMath1076.49017MaRDI QIDQ1880400

Carsten Carstensen, Sören Bartels, Andreas Prohl, Petr Plecháč

Publication date: 27 September 2004

Published in: Interfaces and Free Boundaries (Search for Journal in Brave)

zbMATH Keywords

strong convergencestabilisationconvexificationEuler-Lagrange equationdegenerate variational problem

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Energy minimization in equilibrium problems in solid mechanics (74G65) Methods involving semicontinuity and convergence; relaxation (49J45) Discrete approximations in optimal control (49M25)

Related Items (7)

Stabilized FEM for some optimal design problem ⋮ A convergent adaptive finite element method for an optimal design problem ⋮ Ten remarks on nonconvex minimisation for phase transition simulations ⋮ Effective simulation of a macroscopic model for stationary micromagnetics ⋮ Computational Microstructures in Phase Transition Solids and Finite-Strain Elastoplasticity ⋮ On stabilized models in micromagnetics ⋮ Effective relaxation for microstructure simulations: algorithms and applications

Cites Work

• Numerical study of a relaxed variational problem from optimal design
• The relaxation of a double-well energy
• A remark on the regularity of the solutions of the \(p\)-Laplacian and its application to their finite element approximation
• Approximation of a laminated microstructure for a rotationally invariant, double well energy density
• Multiscale resolution in the computation of crystalline microstructure
• Numerical Analysis of a Relaxed Variational Model of Hysteresis in Two-Phase Solids
• On the Convergence of Finite-Element Approximations of a Relaxed Variational Problem
• Strong Convergence of Numerical Solutions to Degenerate Variational Problems
• Numerical solution of the scalar double-well problem allowing microstructure
• Numerical Analysis of Compatible Phase Transitions in Elastic Solids
• Local Stress Regularity in Scalar Nonconvex Variational Problems
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Convergence for stabilisation of degenerately convex minimisation problems