Finite Element Method for Hemivariational Inequalities: Theory, Methods and Applications
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Boston, MA
Springer US
1999
|
| Schriftenreihe: | Nonconvex Optimization and Its Applications
35 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | 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 |
| Beschreibung: | 1 Online-Ressource (XXV, 260 p) |
| ISBN: | 9781475752335 9781441948151 |
| ISSN: | 1571-568X |
| DOI: | 10.1007/978-1-4757-5233-5 |
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| 245 | 1 | 0 | |a Finite Element Method for Hemivariational Inequalities |b Theory, Methods and Applications |c by Jaroslav Haslinger, Markku Miettinen, Panagiotis D. Panagiotopoulos |
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| 500 | |a 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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| discipline | Mathematik |
| doi_str_mv | 10.1007/978-1-4757-5233-5 |
| format | Electronic eBook |
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| institution | BVB |
| isbn | 9781475752335 9781441948151 |
| issn | 1571-568X |
| language | English |
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| spelling | Haslinger, Jaroslav Verfasser aut Finite Element Method for Hemivariational Inequalities Theory, Methods and Applications by Jaroslav Haslinger, Markku Miettinen, Panagiotis D. Panagiotopoulos Boston, MA Springer US 1999 1 Online-Ressource (XXV, 260 p) txt rdacontent c rdamedia cr rdacarrier Nonconvex Optimization and Its Applications 35 1571-568X 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 Mathematics Mechanics Engineering mathematics Mathematics, general Appl.Mathematics/Computational Methods of Engineering Mathematik Finite-Elemente-Methode (DE-588)4017233-8 gnd rswk-swf Hemivariationsungleichung (DE-588)4564212-6 gnd rswk-swf Hemivariationsungleichung (DE-588)4564212-6 s Finite-Elemente-Methode (DE-588)4017233-8 s 1\p DE-604 Miettinen, Markku Sonstige oth Panagiotopoulos, Panagiotis D. Sonstige oth https://doi.org/10.1007/978-1-4757-5233-5 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Haslinger, Jaroslav Finite Element Method for Hemivariational Inequalities Theory, Methods and Applications Mathematics Mechanics Engineering mathematics Mathematics, general Appl.Mathematics/Computational Methods of Engineering Mathematik Finite-Elemente-Methode (DE-588)4017233-8 gnd Hemivariationsungleichung (DE-588)4564212-6 gnd |
| subject_GND | (DE-588)4017233-8 (DE-588)4564212-6 |
| title | Finite Element Method for Hemivariational Inequalities Theory, Methods and Applications |
| title_auth | Finite Element Method for Hemivariational Inequalities Theory, Methods and Applications |
| title_exact_search | Finite Element Method for Hemivariational Inequalities Theory, Methods and Applications |
| title_full | Finite Element Method for Hemivariational Inequalities Theory, Methods and Applications by Jaroslav Haslinger, Markku Miettinen, Panagiotis D. Panagiotopoulos |
| title_fullStr | Finite Element Method for Hemivariational Inequalities Theory, Methods and Applications by Jaroslav Haslinger, Markku Miettinen, Panagiotis D. Panagiotopoulos |
| title_full_unstemmed | Finite Element Method for Hemivariational Inequalities Theory, Methods and Applications by Jaroslav Haslinger, Markku Miettinen, Panagiotis D. Panagiotopoulos |
| title_short | Finite Element Method for Hemivariational Inequalities |
| title_sort | finite element method for hemivariational inequalities theory methods and applications |
| title_sub | Theory, Methods and Applications |
| topic | Mathematics Mechanics Engineering mathematics Mathematics, general Appl.Mathematics/Computational Methods of Engineering Mathematik Finite-Elemente-Methode (DE-588)4017233-8 gnd Hemivariationsungleichung (DE-588)4564212-6 gnd |
| topic_facet | Mathematics Mechanics Engineering mathematics Mathematics, general Appl.Mathematics/Computational Methods of Engineering Mathematik Finite-Elemente-Methode Hemivariationsungleichung |
| url | https://doi.org/10.1007/978-1-4757-5233-5 |
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