Critical Point Approximation Through Exact Regularization

DOI10.2307/2007918zbMath0636.65058OpenAlexW4231179003MaRDI QIDQ3776514

Carlos S. Moreno, Enrique Fernández-Cara

Publication date: 1988

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2007918

zbMATH Keywords

Hilbert spacecritical pointsnonconvex optimizationiterative methodsconvex functionsYosida regularizationvortex ringsplasma confinementexact regularizationnondifferentiable functionalssemilinear elliptic problems with discontinuous nonlinearities

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Convex programming (90C25) Nonlinear elliptic equations (35J60) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Programming in abstract spaces (90C48) Numerical solutions to equations with nonlinear operators (65J15)

Related Items (12)

An iterative method for the solution of some semilinear elliptic systems with discontinuities ⋮ The numerical solution of some elliptic problems with nonlinear discontinuities using exact regularization ⋮ A generalized proximal linearized algorithm for DC functions with application to the optimal size of the firm problem ⋮ The numerical solution of some elliptic nonscalar problems with nonlinear discontinuities ⋮ A modified proximal point method for DC functions on Hadamard manifolds ⋮ Duality algorithms for nonconvex variational principles ⋮ On the difference of two maximal monotone operators: Regularization and algorithmic approaches ⋮ How to regularize a difference of convex functions ⋮ Numerical Approximations of the Relative Rearrangement: The piecewise linear case. Application to some Nonlocal Problems ⋮ On critical points of the difference of two maximal monotone operators ⋮ The numerical computation of steady vortex pairs ⋮ About saddle values of a class of convex-concave functions

This page was built for publication: Critical Point Approximation Through Exact Regularization