Numerical Solution Of Variational Inequalities By Adaptive Finite Elements
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Numerical Solution Of Variational Inequalities By Adaptive Finite Elements
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Author : Franz-Theo Suttmeier
language : de
Publisher:
Release Date : 2006
Numerical Solution Of Variational Inequalities By Adaptive Finite Elements written by Franz-Theo Suttmeier and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with categories.
Numerical Solution Of Variational Inequalities By Adaptive Finite Elements
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Author : Franz-Theo Suttmeier
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-03-12
Numerical Solution Of Variational Inequalities By Adaptive Finite Elements written by Franz-Theo Suttmeier 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 2009-03-12 with Mathematics categories.
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.
Numerical Solution Of Partial Differential Equations By The Finite Element Method
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Author : Claes Johnson
language : en
Publisher: Courier Corporation
Release Date : 2012-05-23
Numerical Solution Of Partial Differential Equations By The Finite Element Method written by Claes Johnson and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-05-23 with Mathematics categories.
An accessible introduction to the finite element method for solving numeric problems, this volume offers the keys to an important technique in computational mathematics. Suitable for advanced undergraduate and graduate courses, it outlines clear connections with applications and considers numerous examples from a variety of science- and engineering-related specialties.This text encompasses all varieties of the basic linear partial differential equations, including elliptic, parabolic and hyperbolic problems, as well as stationary and time-dependent problems. Additional topics include finite element methods for integral equations, an introduction to nonlinear problems, and considerations of unique developments of finite element techniques related to parabolic problems, including methods for automatic time step control. The relevant mathematics are expressed in non-technical terms whenever possible, in the interests of keeping the treatment accessible to a majority of students.
Numerical Mathematics And Advanced Applications Enumath 2019
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Author : Fred J. Vermolen
language : en
Publisher: Springer Nature
Release Date : 2021-04-30
Numerical Mathematics And Advanced Applications Enumath 2019 written by Fred J. Vermolen and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-04-30 with Mathematics categories.
This book gathers outstanding papers presented at the European Conference on Numerical Mathematics and Advanced Applications (ENUMATH 2019). The conference was organized by Delft University of Technology and was held in Egmond aan Zee, the Netherlands, from September 30 to October 4, 2019. Leading experts in the field presented the latest results and ideas regarding the design, implementation and analysis of numerical algorithms, as well as their applications to relevant societal problems. ENUMATH is a series of conferences held every two years to provide a forum for discussing basic aspects and new trends in numerical mathematics and scientific and industrial applications, all examined at the highest level of international expertise. The first ENUMATH was held in Paris in 1995, with successive installments at various sites across Europe, including Heidelberg (1997), Jyvaskyla (1999), lschia Porto (2001), Prague (2003), Santiago de Compostela (2005), Graz (2007), Uppsala (2009), Leicester (2011), Lausanne (2013), Ankara (2015) and Bergen (2017).
Error Control Adaptive Discretizations And Applications Part 2
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Author :
language : en
Publisher: Elsevier
Release Date : 2024-10-31
Error Control Adaptive Discretizations And Applications Part 2 written by and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-10-31 with Science categories.
Error Control, Adaptive Discretizations, and Applications, Volume 59, Part Two highlights new advances in the field, with this new volume presenting interesting chapters written by an international board of authors. Chapters in this release cover hp adaptive Discontinuous Galerkin strategies driven by a posteriori error estimation with application to aeronautical flow problems,An anisotropic mesh adaptation method based on gradient recovery and optimal shape elements, and Model reduction techniques for parametrized nonlinear partial differential equations. - Covers multi-scale modeling - Includes updates on data-driven modeling - Presents the latest information on large deformations of multi-scale materials
Finite Element Approximation Of Contact And Friction In Elasticity
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Author : Franz Chouly
language : en
Publisher: Springer Nature
Release Date : 2023-06-23
Finite Element Approximation Of Contact And Friction In Elasticity written by Franz Chouly and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-06-23 with Mathematics categories.
This book presents the mathematics behind the formulation, approximation, and numerical analysis of contact and friction problems. It also provides a survey of recent developments in the numerical approximation of such problems as well as several remaining unsolved issues. Particular focus is placed on the Signorini problem and on frictionless unilateral contact in small strain. The final chapters cover more complex, applications-oriented problems, such as frictional contact, multi-body contact, and large strain. Finite Element Approximation of Contact and Friction in Elasticity will be a valuable resource for researchers in the area. It may also be of interest to those studying scientific computing and computational mechanics.
Multiphysics Phase Field Fracture
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Author : Thomas Wick
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2020-10-12
Multiphysics Phase Field Fracture written by Thomas Wick 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 2020-10-12 with Mathematics categories.
This monograph is centered on mathematical modeling, innovative numerical algorithms and adaptive concepts to deal with fracture phenomena in multiphysics. State-of-the-art phase-field fracture models are complemented with prototype explanations and rigorous numerical analysis. These developments are embedded into a carefully designed balance between scientific computing aspects and numerical modeling of nonstationary coupled variational inequality systems. Therein, a focus is on nonlinear solvers, goal-oriented error estimation, predictor-corrector adaptivity, and interface conditions. Engineering applications show the potential for tackling practical problems within the fields of solid mechanics, porous media, and fluidstructure interaction.
Analysis And Approximation Of Contact Problems With Adhesion Or Damage
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Author : Mircea Sofonea
language : en
Publisher: CRC Press
Release Date : 2005-09-26
Analysis And Approximation Of Contact Problems With Adhesion Or Damage written by Mircea Sofonea and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-09-26 with Mathematics categories.
Research into contact problems continues to produce a rapidly growing body of knowledge. Recognizing the need for a single, concise source of information on models and analysis of contact problems, accomplished experts Sofonea, Han, and Shillor carefully selected several models and thoroughly study them in Analysis and Approximation of Contact P
Acta Numerica 2001 Volume 10
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Author : Arieh Iserles
language : en
Publisher: Cambridge University Press
Release Date : 2001-08-23
Acta Numerica 2001 Volume 10 written by Arieh Iserles and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-08-23 with Mathematics categories.
An annual volume presenting substantive survey articles in numerical analysis and scientific computing.
Optimization With Pde Constraints
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Author : Ronald Hoppe
language : en
Publisher: Springer
Release Date : 2014-09-11
Optimization With Pde Constraints written by Ronald Hoppe and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-09-11 with Computers categories.
This book on PDE Constrained Optimization contains contributions on the mathematical analysis and numerical solution of constrained optimal control and optimization problems where a partial differential equation (PDE) or a system of PDEs appears as an essential part of the constraints. The appropriate treatment of such problems requires a fundamental understanding of the subtle interplay between optimization in function spaces and numerical discretization techniques and relies on advanced methodologies from the theory of PDEs and numerical analysis as well as scientific computing. The contributions reflect the work of the European Science Foundation Networking Programme ’Optimization with PDEs’ (OPTPDE).