Finite Element Method for Hemivariational Inequalities
Theory, Methods and Applications
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Author
Contributions
- Miettinen, Markku - Contributor
- Panagiotopoulos, Panagiotis D. - Contributor
Publication
1999 - Springer US, Boston, MA, United States
Language
English
Word Count
65,000 words, Guess
Page Count
260 pages
Physical Format
[electronic resource] :
Identifiers
- Open LibraryOL27038839M
- ISBN-139781441948151
- ISBN-101441948155
- OCLC Control Number851828517
- OCLC Control Numberfiniteelementmet00hasl
Classifications
- DDC510
- LCCQA1-939
Description
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.
Subjects
Series Statement
- Nonconvex Optimization and Its Applications -- 35
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