Nonlinear Variational Problems
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Numerical Methods For Nonlinear Variational Problems
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Author : Roland Glowinski
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-29
Numerical Methods For Nonlinear Variational Problems written by Roland Glowinski and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-29 with Science categories.
Many mechanics and physics problems have variational formulations making them appropriate for numerical treatment by finite element techniques and efficient iterative methods. This book describes the mathematical background and reviews the techniques for solving problems, including those that require large computations such as transonic flows for compressible fluids and the Navier-Stokes equations for incompressible viscous fluids. Finite element approximations and non-linear relaxation, augmented Lagrangians, and nonlinear least square methods are all covered in detail, as are many applications. "Numerical Methods for Nonlinear Variational Problems", originally published in the Springer Series in Computational Physics, is a classic in applied mathematics and computational physics and engineering. This long-awaited softcover re-edition is still a valuable resource for practitioners in industry and physics and for advanced students.
Nonlinear Variational Problems
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Author : A. Marino
language : en
Publisher:
Release Date : 1985
Nonlinear Variational Problems written by A. Marino and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985 with Differential equations categories.
This volume brings together the invited talks and the short communications presented during the International Workshop on Nonlinear Variational Problems held at Isola d'Elba, Italy, in September 1983. In the lectures, several topics concerning partial differential equations are treated. The lectures are devoted to nonlinear elliptic problems, linear and nonlinear hyperbolic problems, and homogenization problems.
Variational Methods For The Numerical Solution Of Nonlinear Elliptic Problem
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Author : Roland Glowinski
language : en
Publisher: SIAM
Release Date : 2015-11-04
Variational Methods For The Numerical Solution Of Nonlinear Elliptic Problem written by Roland Glowinski and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-11-04 with Mathematics categories.
Variational Methods for the Numerical Solution of Nonlinear Elliptic Problems addresses computational methods that have proven efficient for the solution of a large variety of nonlinear elliptic problems. These methods can be applied to many problems in science and engineering, but this book focuses on their application to problems in continuum mechanics and physics. This book differs from others on the topic by presenting examples of the power and versatility of operator-splitting methods; providing a detailed introduction to alternating direction methods of multipliers and their applicability to the solution of nonlinear (possibly nonsmooth) problems from science and engineering; and showing that nonlinear least-squares methods, combined with operator-splitting and conjugate gradient algorithms, provide efficient tools for the solution of highly nonlinear problems. The book provides useful insights suitable for advanced graduate students, faculty, and researchers in applied and computational mathematics as well as research engineers, mathematical physicists, and systems engineers.
Nonlinear Variational Problems
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Author :
language : en
Publisher:
Release Date :
Nonlinear Variational Problems written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
Noncoercive Variational Problems And Related Results
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Author : Daniel Goeleven
language : en
Publisher: CRC Press
Release Date : 1996-10-10
Noncoercive Variational Problems And Related Results written by Daniel Goeleven and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-10-10 with Mathematics categories.
In establishing a general theory of the existence of solutions for noncoercive variational problems and constrained problems formulated as variational inequalities or hemivariational inequalities, this Research Note illustrates recent mathematical approaches and results with various examples from mathematics and mechanics. The book unifies ideas for the treatment of various noncoercive problems and provides previously unpublished results for variational inequalities and hemivariational inequalities. The author points out important applications in mechanics and their mathfematical tratment using recession tools. This book will be of particular interest to researchers in pure and aplied mathematics and mechanics.
Variational Problems With Concentration
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Author : Martin Flucher
language : en
Publisher: Springer Science & Business Media
Release Date : 1999-07
Variational Problems With Concentration written by Martin Flucher and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-07 with Mathematics categories.
This self-contained research monograph focuses on semilinear Dirichlet problems and similar equations involving the p-Laplacian. The author explains new techniques in detail, and derives several numerical methods approximating the concentration point and the free boundary. The corresponding plots are highlights of this book.
Variational Methods For Strongly Indefinite Problems
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Author : Yanheng Ding
language : en
Publisher: World Scientific
Release Date : 2007-07-30
Variational Methods For Strongly Indefinite Problems written by Yanheng Ding and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-07-30 with Mathematics categories.
This unique book focuses on critical point theory for strongly indefinite functionals in order to deal with nonlinear variational problems in areas such as physics, mechanics and economics. With the original ingredients of Lipschitz partitions of unity of gage spaces (nonmetrizable spaces), Lipschitz normality, and sufficient conditions for the normality, as well as existence-uniqueness of flow of ODE on gage spaces, the book presents for the first time a deformation theory in locally convex topological vector spaces. It also offers satisfying variational settings for homoclinic-type solutions to Hamiltonian systems, Schrödinger equations, Dirac equations and diffusion systems, and describes recent developments in studying these problems. The concepts and methods used open up new topics worthy of in-depth exploration, and link the subject with other branches of mathematics, such as topology and geometry, providing a perspective for further studies in these areas. The analytical framework can be used to handle more infinite-dimensional Hamiltonian systems.
Lagrange Multiplier Approach To Variational Problems And Applications
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Author : Kazufumi Ito
language : en
Publisher: SIAM
Release Date : 2008-01-01
Lagrange Multiplier Approach To Variational Problems And Applications written by Kazufumi Ito and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-01-01 with Mathematics categories.
Lagrange multiplier theory provides a tool for the analysis of a general class of nonlinear variational problems and is the basis for developing efficient and powerful iterative methods for solving these problems. This comprehensive monograph analyzes Lagrange multiplier theory and shows its impact on the development of numerical algorithms for problems posed in a function space setting. The authors develop and analyze efficient algorithms for constrained optimization and convex optimization problems based on the augumented Lagrangian concept and cover such topics as sensitivity analysis, convex optimization, second order methods, and shape sensitivity calculus. General theory is applied to challenging problems in optimal control of partial differential equations, image analysis, mechanical contact and friction problems, and American options for the Black-Scholes model.
Variational Methods In Nonlinear Analysis
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Author : Dimitrios C. Kravvaritis
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2020-04-06
Variational Methods In Nonlinear Analysis written by Dimitrios C. Kravvaritis and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-04-06 with Mathematics categories.
This well-thought-out book covers the fundamentals of nonlinear analysis, with a particular focus on variational methods and their applications. Starting from preliminaries in functional analysis, it expands in several directions such as Banach spaces, fixed point theory, nonsmooth analysis, minimax theory, variational calculus and inequalities, critical point theory, monotone, maximal monotone and pseudomonotone operators, and evolution problems.