Stable Methods for Ill-Posed Variational Problems: Prox-Regularization of Elliptic Variational Inequalities and Semi-Infinite Problems - Couverture rigide

Kaplan, Alexander; Tichatschke, Rainer

Couverture rigide

ISBN 10 : 3055016351 ISBN 13 : 9783055016356

Editeur : Wiley-VCH Verlag GmbH, 1994

Synopsis

Iterative prox-regularization methods for solving ill-posed convex variational problems in Hilbert spaces are the subject of this book. A general framework is developed to analyze simultaneously procedures of regularization and successively refined discretization in connection with specific optimization methods for solving the discrete problems. This allows an efficient control of the solution process as a whole. In the first part of the book various methods for treating ill-posed problems are presented, including a study of the regularizing properties of a number of specific optimization algorithms. In the second part, a new class of multi-step methods is introduced which is based on a generalization of the iterative prox-regularization concept. Compared with former methods these new methods permit a more effective use of rough approximations of the infinite dimensional problems and consequently an acceleration of the numerical process. Special versions of these methods are given for ill-posed convex semi-infinite optimization problems and elliptic variational inequalities with weakly coercive operators, including some problems in elasticity theory.

Détails de l'édition

• Éditeur: Wiley-VCH Verlag GmbH
• Date d'édition: 1994
• Langue: anglais
• ISBN 10: 3055016351
• ISBN 13: 9783055016356
• Reliure: Relié
• Nombre de pages: 438
• Coordonnées du fabricant: non disponible
• Personne responsable: non disponible