Finite Element Method for Hemivariational Inequalities: Theory, Methods and Applications: 35 (Nonconvex Optimization and Its Applications) - Hardcover

Haslinger, J.; Miettinen, M.; Panagiotopoulos, Panagiotis D.

 
9780792359517: Finite Element Method for Hemivariational Inequalities: Theory, Methods and Applications: 35 (Nonconvex Optimization and Its Applications)
Hardcover
ISBN 10: 0792359518 ISBN 13: 9780792359517
Verlag: Springer, 1999

Inhaltsangabe

Hemivariational inequalities represent an important class of problems in nonsmooth and nonconvex mechanics. By means of them, problems with nonmonotone, possibly multivalued, constitutive laws can be formulated, mathematically analyzed and finally numerically solved. The present book gives a rigorous analysis of finite element approximation for a class of hemivariational inequalities of elliptic and parabolic type. Finite element models are described and their convergence properties are established. Discretized models are numerically treated as nonconvex and nonsmooth optimization problems. The book includes a comprehensive description of typical representants of nonsmooth optimization methods. Basic knowledge of finite element mathematics, functional and nonsmooth analysis is needed. The book is self-contained, and all necessary results from these disciplines are summarized in the introductory chapter.
Audience: Engineers and applied mathematicians at universities and working in industry. Also graduate-level students in advanced nonlinear computational mechanics, mathematics of finite elements and approximation theory. Chapter 1 includes the necessary prerequisite materials.

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Reseña del editor

Hemivariational inequalities represent an important class of problems in nonsmooth and nonconvex mechanics. By means of them, problems with nonmonotone, possibly multivalued, constitutive laws can be formulated, mathematically analyzed and finally numerically solved. The present book gives a rigorous analysis of finite element approximation for a class of hemivariational inequalities of elliptic and parabolic type. Finite element models are described and their convergence properties are established. Discretized models are numerically treated as nonconvex and nonsmooth optimization problems. The book includes a comprehensive description of typical representants of nonsmooth optimization methods. Basic knowledge of finite element mathematics, functional and nonsmooth analysis is needed. The book is self-contained, and all necessary results from these disciplines are summarized in the introductory chapter.
Audience: Engineers and applied mathematicians at universities and working in industry. Also graduate-level students in advanced nonlinear computational mechanics, mathematics of finite elements and approximation theory. Chapter 1 includes the necessary prerequisite materials.

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Verlag
Springer
Erscheinungsdatum
1999
Sprache
Englisch
ISBN 10 
0792359518
ISBN 13 
9780792359517
Einband
Tapa dura
Anzahl der Seiten
292
Kontakt zum Hersteller
Nicht verfügbar
Verantwortliche Person
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9781441948151: Finite Element Method for Hemivariational Inequalities: Theory, Methods and Applications: 35 (Nonconvex Optimization and Its Applications)

Vorgestellte Ausgabe

ISBN 10:  1441948155 ISBN 13:  9781441948151
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Softcover