Non-convergence result for conformal approximation of variational problems subject to a convexity constraint

Numerical Functional Analysis and Optimization

Volumn 22, Issue 5-6, 2001, Pages 529-547

  Choné, Philippe ^a   Le Meur, Hervé V J ^b  

^a CREST   (France)

^b UNIVERSITÉ PARIS SACLAY   (France)

Author keywords

Conformal approximation; Convexity; Finite elements; Interpolation; Minimization

Indexed keywords

APPROXIMATION THEORY; COMPUTER SIMULATION; CONFORMAL MAPPING; CONSTRAINT THEORY; CONVERGENCE OF NUMERICAL METHODS; FINITE ELEMENT METHOD; FUNCTIONS; INTERPOLATION; VARIATIONAL TECHNIQUES;

VARIATIONAL PROBLEMS;

SET THEORY;

EID: 0035416410     PISSN: 01630563     EISSN: None     Source Type: Journal    
DOI: 10.1081/NFA-100105306     Document Type: Article

References (12)

1. Consistent matrix formulations for structural analysis using finite-element techniques
2. A symmetry problem in the calculus of variations
3. Minimum problems over sets of concave functions and related questions
4. A numerical approach to variational problems subject to convexity constraint
5. Convergent finite elements for a class of nonconvex variationnal problems
6. An example of non-convex minimization and an application to Newton's problem of the body of least resistance
7. Ironing, sweeping and multidimensionnal screening
8. On second derivatives of convex functions