On the numerical analysis of some variational problems with nonhomogeneous boundary conditions

DOI10.1007/BF03167317zbMath0922.65049OpenAlexW1968405546MaRDI QIDQ1275842

A. Elfanni, Michel Chipot

Publication date: 11 October 1999

Published in: Japan Journal of Industrial and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf03167317

zbMATH Keywords

finite elementserror boundsnonhomogeneous boundary conditionsvariational problems

Mathematics Subject Classification ID

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

Related Items (2)

Some Remarks on Nonuniqueness of Minimizers for Discrete Minimization Problems ⋮ Approximation of infima in the calculus of variations

Cites Work

• \(W^{1,p}\)-quasiconvexity and variational problems for multiple integrals
• Variational methods for elastic crystals
• Fine phase mixtures as minimizers of energy
• Equilibrium configurations of crystals
• Weak continuity and weak lower semi-continuity of non-linear functionals
• Elliptic partial differential equations of second order
• Numerical analysis of oscillations in multiple well problems
• The lower quasiconvex envelope of the stored energy function for an elastic crystal
• Hyperelasticity for crystals
• Optimal-Order Error Estimates for the Finite Element Approximation of the Solution of a Nonconvex Variational Problem
• Proposed experimental tests of a theory of fine microstructure and the two-well problem
• Approximated Convex Envelope of a Function
• Numerical Approximation of the Solution of a Variational Problem with a Double Well Potential
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