Linear-programming approach to nonconvex variational problems
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Publication:706592
DOI10.1007/s00211-004-0549-2zbMath1063.65051OpenAlexW2039252662MaRDI QIDQ706592
Publication date: 8 February 2005
Published in: Numerische Mathematik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00211-004-0549-2
Numerical optimization and variational techniques (65K10) Numerical methods based on nonlinear programming (49M37) Existence theories for optimal control problems involving partial differential equations (49J20)
Related Items (6)
Analysis of microstructures and phase transition phenomena in one-dimensional, non-linear elasticity by convex optimization ⋮ Optimal laminates in single-slip elastoplasticity ⋮ Simulation of phase combinations in shape memory alloys patches by hybrid optimization methods ⋮ Coarse-Convex-Compactification Approach to Numerical Solution of Nonconvex Variational Problems ⋮ A Modified Split Bregman Algorithm for Computing Microstructures Through Young Measures ⋮ Convergence of adaptive finite element methods for a nonconvex double-well minimization problem
Cites Work
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- The free energy of mixing for \(n\)-variant martensitic phase transformations using quasi-convex analysis
- Inhomogeneous Dirichlet conditions in a priori and a posteriori finite element error analysis
- Numerical study of a relaxed variational problem from optimal design
- The relaxation of a double-well energy
- Energy minimization and the formation of microstructure in dynamic anti- plane shear
- Energy minimizers for large ferromagnetic bodies
- Gradient Young measures generated by sequences in Sobolev spaces
- Parametrized measures and variational principles
- Adaptive finite element methods for microstructures? Numerical experiments for a 2-well benchmark
- The method of moments in global optimization
- Regularity of quasiconvex envelopes
- Higher-order convex approximations of Young measures in optimal control
- Numerical analysis of oscillations in multiple well problems
- On the numerical analysis of non-convex variational problems
- Numerical approximation of Young measures in non-convex variational problems
- Nonlinear programming and nonsmooth optimization by successive linear programming
- On the Smoothness of Convex Envelopes
- Strong uniqueness in sequential linear programming
- An Improved Successive Linear Programming Algorithm
- Numerical Approximations in Variational Problems with Potential Wells
- Numerical Approach to Double Well Problems
- On the relation of a three-well energy
- Approximated Convex Envelope of a Function
- A necessary and sufficient condition for nonattainment and formation of microstructure almost everywhere in scalar variational problems
- 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
- Each averaging technique yields reliable a posteriori error control in FEM on unstructured grids. Part I: Low order conforming, nonconforming, and mixed FEM
- Adaptive Approximation of Young Measure Solutions in Scalar Nonconvex Variational Problems
- The Use of Young Measures for Constructing Minimizing Sequences in the Calculus of Variations
- NUMERICAL SOLUTION OF A CLASS OF NON-CONVEX VARIATIONAL PROBLEMS BY SQP
- Anti-Plane Shear Deformations in Linear and Nonlinear Solid Mechanics
- Numerical approximation of parametrized measures
- Approximation theory for generalized young measures
- Young measure approximation in micromagnetics
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