Finite Element Method for Hemivariational Inequalities [electronic resource] : Theory, Methods and Applications /
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.
Main Authors: | , , , |
---|---|
Format: | Texto biblioteca |
Language: | eng |
Published: |
Boston, MA : Springer US : Imprint: Springer,
1999
|
Subjects: | Mathematics., Mechanics., Applied mathematics., Engineering mathematics., Mathematics, general., Appl.Mathematics/Computational Methods of Engineering., |
Online Access: | http://dx.doi.org/10.1007/978-1-4757-5233-5 |
Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
id |
KOHA-OAI-TEST:180565 |
---|---|
record_format |
koha |
spelling |
KOHA-OAI-TEST:1805652018-07-30T23:00:45ZFinite Element Method for Hemivariational Inequalities [electronic resource] : Theory, Methods and Applications / Haslinger, Jaroslav. author. Miettinen, Markku. author. Panagiotopoulos, Panagiotis D. author. SpringerLink (Online service) textBoston, MA : Springer US : Imprint: Springer,1999.engHemivariational 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.I Introductory Topics -- 1. Mathematical Preliminaries -- 2. Nonsmooth Mechanics -- II Finite Element Approximation of Hemivariational Inequalities -- 3. Approximation of Elliptic Hemivariational Inequalities -- 4. Time Dependent Case -- III Nonsmooth Optimization Methods -- 5. Nonsmooth Optimization Methods -- IV Numerical Examples -- 6. Numerical Examples.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.Applied mathematics.Engineering mathematics.Mathematics.Mathematics, general.Mechanics.Appl.Mathematics/Computational Methods of Engineering.Springer eBookshttp://dx.doi.org/10.1007/978-1-4757-5233-5URN:ISBN:9781475752335 |
institution |
COLPOS |
collection |
Koha |
country |
México |
countrycode |
MX |
component |
Bibliográfico |
access |
En linea En linea |
databasecode |
cat-colpos |
tag |
biblioteca |
region |
America del Norte |
libraryname |
Departamento de documentación y biblioteca de COLPOS |
language |
eng |
topic |
Mathematics. Mechanics. Applied mathematics. Engineering mathematics. Mathematics. Mathematics, general. Mechanics. Appl.Mathematics/Computational Methods of Engineering. Mathematics. Mechanics. Applied mathematics. Engineering mathematics. Mathematics. Mathematics, general. Mechanics. Appl.Mathematics/Computational Methods of Engineering. |
spellingShingle |
Mathematics. Mechanics. Applied mathematics. Engineering mathematics. Mathematics. Mathematics, general. Mechanics. Appl.Mathematics/Computational Methods of Engineering. Mathematics. Mechanics. Applied mathematics. Engineering mathematics. Mathematics. Mathematics, general. Mechanics. Appl.Mathematics/Computational Methods of Engineering. Haslinger, Jaroslav. author. Miettinen, Markku. author. Panagiotopoulos, Panagiotis D. author. SpringerLink (Online service) Finite Element Method for Hemivariational Inequalities [electronic resource] : Theory, Methods and Applications / |
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. |
format |
Texto |
topic_facet |
Mathematics. Mechanics. Applied mathematics. Engineering mathematics. Mathematics. Mathematics, general. Mechanics. Appl.Mathematics/Computational Methods of Engineering. |
author |
Haslinger, Jaroslav. author. Miettinen, Markku. author. Panagiotopoulos, Panagiotis D. author. SpringerLink (Online service) |
author_facet |
Haslinger, Jaroslav. author. Miettinen, Markku. author. Panagiotopoulos, Panagiotis D. author. SpringerLink (Online service) |
author_sort |
Haslinger, Jaroslav. author. |
title |
Finite Element Method for Hemivariational Inequalities [electronic resource] : Theory, Methods and Applications / |
title_short |
Finite Element Method for Hemivariational Inequalities [electronic resource] : Theory, Methods and Applications / |
title_full |
Finite Element Method for Hemivariational Inequalities [electronic resource] : Theory, Methods and Applications / |
title_fullStr |
Finite Element Method for Hemivariational Inequalities [electronic resource] : Theory, Methods and Applications / |
title_full_unstemmed |
Finite Element Method for Hemivariational Inequalities [electronic resource] : Theory, Methods and Applications / |
title_sort |
finite element method for hemivariational inequalities [electronic resource] : theory, methods and applications / |
publisher |
Boston, MA : Springer US : Imprint: Springer, |
publishDate |
1999 |
url |
http://dx.doi.org/10.1007/978-1-4757-5233-5 |
work_keys_str_mv |
AT haslingerjaroslavauthor finiteelementmethodforhemivariationalinequalitieselectronicresourcetheorymethodsandapplications AT miettinenmarkkuauthor finiteelementmethodforhemivariationalinequalitieselectronicresourcetheorymethodsandapplications AT panagiotopoulospanagiotisdauthor finiteelementmethodforhemivariationalinequalitieselectronicresourcetheorymethodsandapplications AT springerlinkonlineservice finiteelementmethodforhemivariationalinequalitieselectronicresourcetheorymethodsandapplications |
_version_ |
1756264703752929280 |