Lagrange Multiplier Approach to Variational Problems and Applications - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Lagrange Multiplier Approach to Variational Problems and Applications write by Kazufumi Ito. This book was released on 2008-01-01. Lagrange Multiplier Approach to Variational Problems and Applications available in PDF, EPUB and Kindle. 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.
Augmented Lagrangian Methods
Augmented Lagrangian Methods - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Augmented Lagrangian Methods write by M. Fortin. This book was released on 2000-04-01. Augmented Lagrangian Methods available in PDF, EPUB and Kindle. The purpose of this volume is to present the principles of the Augmented Lagrangian Method, together with numerous applications of this method to the numerical solution of boundary-value problems for partial differential equations or inequalities arising in Mathematical Physics, in the Mechanics of Continuous Media and in the Engineering Sciences.
Non-Smooth and Complementarity-Based Distributed Parameter Systems
Non-Smooth and Complementarity-Based Distributed Parameter Systems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Non-Smooth and Complementarity-Based Distributed Parameter Systems write by Michael Hintermüller. This book was released on 2022-02-18. Non-Smooth and Complementarity-Based Distributed Parameter Systems available in PDF, EPUB and Kindle. Many of the most challenging problems in the applied sciences involve non-differentiable structures as well as partial differential operators, thus leading to non-smooth distributed parameter systems. This edited volume aims to establish a theoretical and numerical foundation and develop new algorithmic paradigms for the treatment of non-smooth phenomena and associated parameter influences. Other goals include the realization and further advancement of these concepts in the context of robust and hierarchical optimization, partial differential games, and nonlinear partial differential complementarity problems, as well as their validation in the context of complex applications. Areas for which applications are considered include optimal control of multiphase fluids and of superconductors, image processing, thermoforming, and the formation of rivers and networks. Chapters are written by leading researchers and present results obtained in the first funding phase of the DFG Special Priority Program on Nonsmooth and Complementarity Based Distributed Parameter Systems: Simulation and Hierarchical Optimization that ran from 2016 to 2019.
Topics in Applied Analysis and Optimisation
Topics in Applied Analysis and Optimisation - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Topics in Applied Analysis and Optimisation write by Michael Hintermüller. This book was released on 2019-11-27. Topics in Applied Analysis and Optimisation available in PDF, EPUB and Kindle. This volume comprises selected, revised papers from the Joint CIM-WIAS Workshop, TAAO 2017, held in Lisbon, Portugal, in December 2017. The workshop brought together experts from research groups at the Weierstrass Institute in Berlin and mathematics centres in Portugal to present and discuss current scientific topics and to promote existing and future collaborations. The papers include the following topics: PDEs with applications to material sciences, thermodynamics and laser dynamics, scientific computing, nonlinear optimization and stochastic analysis.
Variational Methods for the Numerical Solution of Nonlinear Elliptic Problem
Variational Methods for the Numerical Solution of Nonlinear Elliptic Problem - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Variational Methods for the Numerical Solution of Nonlinear Elliptic Problem write by Roland Glowinski. This book was released on 2015-11-04. Variational Methods for the Numerical Solution of Nonlinear Elliptic Problem available in PDF, EPUB and Kindle. 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.
