NON-CONVERGENCE RESULT FOR CONFORMAL APPROXIMATION OF VARIATIONAL PROBLEMS SUBJECT TO A CONVEXITY CONSTRAINT

DOI10.1081/NFA-100105306zbMath0995.65068OpenAlexW2067569502MaRDI QIDQ2769517

Hervé V. J. Le Meur, Philippe Choné

Publication date: 9 October 2002

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1081/nfa-100105306

zbMATH Keywords

finite elementsvariational problemnumerical examplesconvexityconformal approximation

Mathematics Subject Classification ID

Convex programming (90C25) Numerical optimization and variational techniques (65K10) Newton-type methods (49M15) Existence theories for optimal control problems involving partial differential equations (49J20)

Related Items (11)

Adaptive, anisotropic and hierarchical cones of discrete convex functions ⋮ Numerical approximation of optimal convex and rotationally symmetric shapes for an eigenvalue problem arising in optimal insulation ⋮ Conforming approximation of convex functions with the finite element method ⋮ Numerical Approximation of Optimal Convex Shapes ⋮ Pointwise rates of convergence for the Oliker-Prussner method for the Monge-Ampère equation ⋮ Crowd motion and evolution PDEs under density constraints ⋮ An iterated projection approach to variational problems under generalized convexity constraints ⋮ \{Euclidean, metric, and Wasserstein\} gradient flows: an overview ⋮ An algorithm for computing solutions of variational problems with global convexity constraints ⋮ Discretization of functionals involving the Monge-Ampère operator ⋮ Linear-Time Convexity Test for Low-Order Piecewise Polynomials

Uses Software

• Matlab

Cites Work

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• Convergent finite elements for a class of nonconvex variational problems
• Ironing, Sweeping, and Multidimensional Screening
• Minimum Problems over Sets of Concave Functions and Related Questions
• Consistent matrix formulations for structural analysis using finite-element techniques.
• A symmetry problem in the calculus of variations

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