A Posteriori Error Analysis And Adaptive Finite Element Solution Of Variational Inequalities Of The Second Kind
Download A Posteriori Error Analysis And Adaptive Finite Element Solution Of Variational Inequalities Of The Second Kind PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get A Posteriori Error Analysis And Adaptive Finite Element Solution Of Variational Inequalities Of The Second Kind book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages.
A Posteriori Error Analysis Via Duality Theory
Author: Weimin Han
language: en
Publisher: Springer Science & Business Media
Release Date: 2006-07-30
This work provides a posteriori error analysis for mathematical idealizations in modeling boundary value problems, especially those arising in mechanical applications, and for numerical approximations of numerous nonlinear var- tional problems. An error estimate is called a posteriori if the computed solution is used in assessing its accuracy. A posteriori error estimation is central to m- suring, controlling and minimizing errors in modeling and numerical appr- imations. In this book, the main mathematical tool for the developments of a posteriori error estimates is the duality theory of convex analysis, documented in the well-known book by Ekeland and Temam ([49]). The duality theory has been found useful in mathematical programming, mechanics, numerical analysis, etc. The book is divided into six chapters. The first chapter reviews some basic notions and results from functional analysis, boundary value problems, elliptic variational inequalities, and finite element approximations. The most relevant part of the duality theory and convex analysis is briefly reviewed in Chapter 2.
Numerical solution of Variational Inequalities by Adaptive Finite Elements
Author: Franz-Theo Suttmeier
language: en
Publisher: Springer Science & Business Media
Release Date: 2009-03-12
The author presents a general approach to a posteriori error estimation and adaptive mesh design for finite element models where the solution is subjected to inequality constraints. The local weighted residuals, that result from an extension of the so-called Dual-Weighted-Residual method, are used in a feed-back process for generating economical meshes. Based on several model problems, a general concept is proposed, which provides a systematic way of adaptive error control for problems stated in form of variational inequalities.
Error Control, Adaptive Discretizations, and Applications, Part 3
Error Control, Adaptive Discretizations, and Applications, Volume 60, Part Three highlights new advances, with this volume presenting interesting chapters written by an international board of authors. Chapters in this release cover Higher order discontinuous Galerkin finite element methods for the contact problems, Anisotropic Recovery-Based Error Estimators and Mesh Adaptation Tailored for Real-Life Engineering Innovation, Adaptive mesh refinement on Cartesian meshes applied to the mixed finite element discretization of the multigroup neutron diffusion equations, A posteriori error analysis for Finite Element approximation of some groundwater models Part I: Linear models, A posteriori error estimates for low frequency electromagnetic computations, and more.Other sections delve into A posteriori error control for stochastic Galerkin FEM with high-dimensional random parametric PDEs and Recovery techniques for finite element methods. - Covers multi-scale modeling - Includes updates on data-driven modeling - Presents the latest information on large deformations of multi-scale materials