Adaptive Approximation of Young Measure Solutions in Scalar Nonconvex Variational Problems

DOI10.1137/S0036142902404091zbMath1077.65069MaRDI QIDQ4653874

Sören Bartels

Publication date: 1 March 2005

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

zbMATH Keywords

convergencefinite elementsmicrostructureYoung measuresnumerical experimentsadaptive mesh refinementerror estimationadaptivitynonconvex variational problemsmultiple scalesactive set strategythree-well problem

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Variational problems in a geometric measure-theoretic setting (49Q20) Discrete approximations in optimal control (49M25)

Related Items (6)

Linear convergence in the approximation of rank-one convex envelopes ⋮ Linear-programming approach to nonconvex variational problems ⋮ Coarse-Convex-Compactification Approach to Numerical Solution of Nonconvex Variational Problems ⋮ Using discrete optimization algorithms to find minimum energy configurations of slender cantilever beams with non-convex energy functions ⋮ Computational Microstructures in Phase Transition Solids and Finite-Strain Elastoplasticity ⋮ Descent-Penalty Methods for Relaxed Nonlinear Elliptic Optimal Control Problems

Uses Software

• HOPDM

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