Singularities And Constructive Methods For Their Treatment

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Singularities And Constructive Methods For Their Treatment
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Author : Pierre Grisvard
language : en
Publisher: Springer
Release Date : 2006-11-14
Singularities And Constructive Methods For Their Treatment written by Pierre Grisvard and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Mathematics categories.
Advanced Finite Element Methods And Applications
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Author : Thomas Apel
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-07-16
Advanced Finite Element Methods And Applications written by Thomas Apel 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 2012-07-16 with Technology & Engineering categories.
This volume on some recent aspects of finite element methods and their applications is dedicated to Ulrich Langer and Arnd Meyer on the occasion of their 60th birthdays in 2012. Their work combines the numerical analysis of finite element algorithms, their efficient implementation on state of the art hardware architectures, and the collaboration with engineers and practitioners. In this spirit, this volume contains contributions of former students and collaborators indicating the broad range of their interests in the theory and application of finite element methods. Topics cover the analysis of domain decomposition and multilevel methods, including hp finite elements, hybrid discontinuous Galerkin methods, and the coupling of finite and boundary element methods; the efficient solution of eigenvalue problems related to partial differential equations with applications in electrical engineering and optics; and the solution of direct and inverse field problems in solid mechanics.
Finite Element And Boundary Element Techniques From Mathematical And Engineering Point Of View
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Author : E. Stein
language : en
Publisher: Springer
Release Date : 2014-05-04
Finite Element And Boundary Element Techniques From Mathematical And Engineering Point Of View written by E. Stein and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-04 with Mathematics categories.
Traditional FEM and the more recent BEM underlie many engineering computational methods and corresponding software. Both methods have their merits and also their limitations. The combination of both methods will provide an improved numerical tool in the future. The aim of this book is to present significant basic formulations of FEM and BEM and to show their common practical and mathematical foundations, their differences and possibilities for their combination. These include variational foundations, FEM and BEM for linear and non-linear elasticity and potential problems, the combination of FEM-BEM asymptotic error analysis, modifications due to corner and crack singularities and corresponding improvement of convergence, plastic analysis, numerical algorithms and engineering applications.
Numerical Treatment Of Eigenvalue Problems Vol 5 Numerische Behandlung Von Eigenwertaufgaben Band 5
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Author : ALBRECHT
language : en
Publisher: Birkhäuser
Release Date : 2013-11-22
Numerical Treatment Of Eigenvalue Problems Vol 5 Numerische Behandlung Von Eigenwertaufgaben Band 5 written by ALBRECHT and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-22 with Social Science categories.
Combined Methods For Elliptic Equations With Singularities Interfaces And Infinities
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Author : Zi Cai Li
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-12-01
Combined Methods For Elliptic Equations With Singularities Interfaces And Infinities written by Zi Cai Li 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 2013-12-01 with Mathematics categories.
In this book the author sets out to answer two important questions: 1. Which numerical methods may be combined together? 2. How can different numerical methods be matched together? In doing so the author presents a number of useful combinations, for instance, the combination of various FEMs, the combinations of FEM-FDM, REM-FEM, RGM-FDM, etc. The combined methods have many advantages over single methods: high accuracy of solutions, less CPU time, less computer storage, easy coupling with singularities as well as the complicated boundary conditions. Since coupling techniques are essential to combinations, various matching strategies among different methods are carefully discussed. The author provides the matching rules so that optimal convergence, even superconvergence, and optimal stability can be achieved, and also warns of the matching pitfalls to avoid. Audience: The book is intended for both mathematicians and engineers and may be used as text for advanced students.
Iutam Symposium On Discretization Methods In Structural Mechanics
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Author : H.A. Mang
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Iutam Symposium On Discretization Methods In Structural Mechanics written by H.A. Mang 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 2012-12-06 with Technology & Engineering categories.
The JUT AMlIACM Symposium on Discretization Methods in Structural Mechanics was nd th held in Vienna, Austria, from 2 to 6 June 1997. The site of the Symposium was the "Theatersaal" of the Austrian Academy of Sciences. The Symposium was attended by 71 persons from 23 countries. In addition, several Austrian graduate students and research associates participated in the meeting. In the 5-day Symposium a total of 48 papers were presented. All of them were invited and accorded equal weight in the programme. The following topics were covered: • Error-controlled adaptivity of finite element methods • Large deformations and buckling, including inelastic deformations • Inelastic brittle or ductile localization, phase transition and system failure, resulting from monotonic, cyclic or impact loading • Sensitivity analysis and inverse problems with special emphasis on identification of material parameters • Development of linear and nonlinear finite element methods for thin-walled structures and composites • Implicit integration schemes for nonlinear dynamics • Coupling of rigid and deformable structures; fluid-structures and acoustic-structure interaction • Competitive numerical methods (finite element methods, boundary element methods, coupling ofthese two methods) • Identification of material and structural data. Comments on details of the treatment of these topics are contained in the Concluding Remarks. The Editors would like to express their appreciation to E. Stein who has prepared these Concluding Remarks.
Numerical Approximation Of Partial Differential Equations
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Author : E.L. Ortiz
language : en
Publisher: Elsevier
Release Date : 1987-02-01
Numerical Approximation Of Partial Differential Equations written by E.L. Ortiz and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987-02-01 with Computers categories.
This selection of papers is concerned with problems arising in the numerical solution of differential equations, with an emphasis on partial differential equations. There is a balance between theoretical studies of approximation processes, the analysis of specific numerical techniques and the discussion of their application to concrete problems relevant to engineering and science. Special consideration has been given to innovative numerical techniques and to the treatment of three-dimensional and singular problems. These topics are discussed in several of the invited papers.The contributed papers are divided into five parts: techniques of approximation theory which are basic to the numerical treatment of differential equations; numerical techniques based on discrete processes; innovative methods based on polynomial and rational approximation; variational inequalities, conformal transformation and asymptotic techniques; and applications of differential equations to problems in science and engineering.
Schr Dinger Operators Como 1984
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Author : Sandro Graffi
language : en
Publisher: Springer
Release Date : 2006-11-14
Schr Dinger Operators Como 1984 written by Sandro Graffi and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Science categories.
Mathematical Theory Of Finite And Boundary Element Methods
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Author : Schatz
language : en
Publisher: Birkhäuser
Release Date : 2013-03-09
Mathematical Theory Of Finite And Boundary Element Methods written by Schatz and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-09 with Social Science categories.
These are the lecture notes of the seminar "Mathematische Theorie der finiten Element und Randelementmethoden" organized by the "Deutsche Mathematiker-Vereinigung" and held in Dusseldorf from 07. - 14. of June 1987. Finite element methods and the closely related boundary element methods nowadays belong to the standard routines for the computation of solutions to boundary and initial boundary value problems of partial differential equations with many applications as e.g. in elasticity and thermoelasticity, fluid mechanics, acoustics, electromagnetics, scatter ing and diffusion. These methods also stimulated the development of corresponding mathematical numerical analysis. I was very happy that A. Schatz and V. Thomee generously joined the adventure of the seminar and not only gave stimulating lectures but also spent so much time for personal discussion with all the participants. The seminar as well as these notes consist of three parts: 1. An Analysis of the Finite Element Method for Second Order Elliptic Boundary Value Problems by A. H. Schatz. II. On Finite Elements for Parabolic Problems by V. Thomee. III. I30undary Element Methods for Elliptic Problems by \V. L. Wendland. The prerequisites for reading this book are basic knowledge in partial differential equations (including pseudo-differential operators) and in numerical analysis. It was not our intention to present a comprehensive account of the research in this field, but rather to give an introduction and overview to the three different topics which shed some light on recent research.
Equadiff 6
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Author : Jaromir Vosmansky
language : en
Publisher: Springer
Release Date : 2006-11-14
Equadiff 6 written by Jaromir Vosmansky and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Mathematics categories.