Last edited by Telmaran
Sunday, May 10, 2020 | History

9 edition of Numerical analysis of variational inequalities found in the catalog.

Numerical analysis of variational inequalities

by R. Glowinski

  • 3 Want to read
  • 30 Currently reading

Published by North-Holland Pub. Co., Sole distributors for the U.S.A. and Canada in Amsterdam, New York, New York .
Written in English

    Subjects:
  • Differential inequalities,
  • Numerical analysis,
  • Variational inequalities (Mathematics)

  • Edition Notes

    StatementRoland Glowinski, Jacques-Louis Lions, Raymond Trémolières.
    SeriesStudies in mathematics and its applications ;, v. 8
    ContributionsLions, Jacques Louis., Trémolières, Raymond.
    Classifications
    LC ClassificationsQA374 .G5713 1981
    The Physical Object
    Paginationxxix, 776 p. :
    Number of Pages776
    ID Numbers
    Open LibraryOL3783548M
    ISBN 100444861998
    LC Control Number81038345

    Variational Inequalities Electricity Mechanics Control Convex and Nonsmooth Analysis Nonsmooth Models Numerical Time−Integration schemes DI VI CS PDS Event−driven schemes Time−stepping schemes Nonlinear Programming Complementarity Problems Fig. Book Synopsis. The text covers basic results of functional analysis, approximation theory, Fourier analysis and wavelets, iteration methods for nonlinear equations, finite difference methods, Sobolev spaces and weak formulations of boundary value problems, finite element methods, elliptic variational inequalities and their numerical solution, numerical.

    Professor Mircea Sofonea is Director of the Laboratoire de Mathematiques et Physique (LAMPS) and the Universite de Perpignan, areas of expertise include multivalued operators, nonlinear inclusions, variational methods, variational and hemivariational inequalities, evolution equations, elasticity, viscoelasticity, viscoplasticity, contact mechanics, numerical methods. [7] W. Han, Numerical analysis of stationary variational-hemivariational inequalities with appli-cations in contact mechanics, Mathematics and Mechanics of Solids 23 (), – [8] W. Han, S. Migorski and M. Sofonea, A class of variational-hemivariational inequalitiesAuthor: Weimin Han, Mircea Sofonea.

    We suggest and analyze a new self-adaptive method for solving general mixed variational inequalities, which can be viewed as an improvement of the method of (Noor ). Global convergence of the new method is proved under the same assumptions as Noor's method. Some preliminary computational results are given to illustrate the efficiency of the proposed by: 6. Mathematical analysis is largely a systematic study and exploration of inequalities — but for students the study of inequalities often remains a foreign country, difficult of access. This book is a passport to that country, offering a background on inequalities that will prepare undergraduates (and even high school students) to cope with the.


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Numerical analysis of variational inequalities by R. Glowinski Download PDF EPUB FB2

Numerical Analysis of Variational Inequalities. Edited by Roland Glowinski select article Chapter 3 Numerical Analysis of the Problem of the Elasto-Plastic Torsion of A Cylindrical Bar select article Appendix 4 Further Discussion of Boundary Unilateral Problems and Elliptic Variational Inequalities of Order K.

Application to Fluid. COVID Resources. Reliable information about the coronavirus (COVID) is available from the World Health Organization (current situation, international travel).Numerous and frequently-updated resource results are available from this ’s WebJunction has pulled together information and resources to assist library staff as they consider how to handle coronavirus.

Numerical Analysis of Variational Inequalities (Studies in Mathematics and its Applications, 8) Hardcover – January 1, by Roland Glowinski (Author), Jacques-Louis Lions (Author) › Visit Amazon's Jacques-Louis Lions Page. Find all the books, read about the author, and more.

Cited by: The text covers basic results of functional analysis, approximation theory, Fourier analysis and wavelets, iteration methods for nonlinear equations, finite difference methods, Sobolev spaces and weak formulations of boundary value problems, finite element methods, elliptic variational inequalities and their numerical solution, numerical Cited by: Static contact problems, frictional contact problems, and questions related to thermal expansion may be considered as variational inequalities, often for systems, or as generalizations of them [9], [11], [14].

A variational inequality, technically speaking, is a variational. New results on well posedness to stationary and evolutionary inequalities and their rigorous proofs are of particular interest to readers. In addition to results on modeling and abstract problems, the book contains new results on the numerical methods for variational and hemivariational inequalities.

Glowinski[ The application of variational inequalities to free-boundary problems arising in the flow of fluids through porous media was studied by Baiocchi[l3] and Baiocchi et al.[14], and a numerical analysis of such problems was investigated by Baiocchi et al.

[ IS]. Theorems on. Steinbach J. () Numerical Analysis of the Evolutionary Variational Inequalities. In: A Variational Inequality Approach to free Boundary Problems with Applications in Mould Filling. International Series of Numerical Mathematics, vol Author: Jörg Steinbach. Han and M. Sofonea, Evolutionary variational inequalities arising in viscoelastic contact problems, SIAM Journal on Numerical Analysis, Vol.

38 (), W. Han and M. Sofonea, Analysis and numerical approximation of an elastic frictional contact problem with normal compliance, Applicationes Mathematicae, Vol. 26 (), Highlighting recent advances in variational and hemivariational inequalities with an emphasis on theory, numerical analysis and applications, this volume serves as an indispensable resource to graduate students and researchers interested in the latest results from recognized scholars in this relatively young and rapidly-growing field.

The Numerical Algorithms journal offers high quality papers containing material not published elsewhere. The journal presents original and review papers on all aspects of numerical algorithms and numerical analysis: new algorithms, theoretical results, implementation, numerical stability, complexity, parallel computing, subroutines and applications, interpolation, approximation, quadrature.

The numerical analysis of variational inequalities is a well developed area, as illustrated in, and the references therein. In contrast, there are still relatively few publications devoted to numerical methods for hemivariational inequalities and, in particular, to evolutionary hemivariational by: 2.

Variational inequalities are inequality problems with convex structure [1,2], whereas hemivariational inequalities are inequality problems involving non-convex terms [3–7].

The numerical analysis of variational inequalities is a well developed area, as illustrated in [8–10] and the references therein. This book presents some exciting developments arising from the combination of mathematics, numerical analysis, and finance. It covers a wide range of topics, from portfolio management and asset.

List of numerical analysis topics Jump to navigation Jump to search. This is a Abramowitz and Stegun — book containing formulas and tables of many special functions Mathematical programming with equilibrium constraints — constraints include variational inequalities or. We present an iterative scheme for obstacle problems described by variational inequalities.

At each step of the iteration the method leads to a reduced linear (resp. nonlinear) algebraic system which is solved by a multigrid by:   11 Elliptic Variational Inequalities and Their Numerical Approximations From variational equations to variational inequalities Existence and uniqueness based on convex minimization Existence and uniqueness results for a family of EVIs Numerical approximations Some contact problems in elasticity A frictional.

It may be said that nowadays a new direction is forming in numerical analysis, the main goal of which is to develop methods ofreliable computations.

In general, a reliable numerical method must solve two basic problems: (a) generate a sequence of approximations that converges to a solution and (b) verify the accuracy of these approximations. On a New Numerical Method for Solving General Variational Inequalities Article (PDF Available) in International Journal of Modern Physics B 25(32) December with Reads.

The numerical scheme developed is based on the variational formulation originally in-vestigated by Duvaut and Lions [ These authors established a variational principle, in the form of a variational inequality, for this class of problems and they were also able to. We are proud to present a selection of the latest high-impact publications* in Math & Statistics by Chinese researchers across from Springer Nature.

We hope you enjoy reading this selection and find it helpful. Wish you happiness, success and prosperity in the year of the Rat! All the articles & chapters are free to read until Feb. 29, Superconvergence Analysis of Finite Element Method for a Second-Type Variational Inequality Shi, Dongyang, Guan, Hongbo, and Guan, Xiaofei, Journal of Applied Mathematics, ; On quasi-variational inequalities with discontinuous multivalued lower order terms given by bifunctions Le, Vy Khoi, Differential and Integral Equations, ; Some Aspects of Extended General Variational Inequalities Cited by: Advances in Variational and Hemivariational Inequalities: Theory, Numerical Analysis, and Applications Weimin Han, Stanisław Migórski, Mircea Sofonea (eds.) This volume is comprised of articles providing new results on variational and hemivariational inequalities with applications to Contact Mechanics unavailable from other sources.