Title Boundary element methods with applications to nonlinear problems / Goong Chen, Jianxin Zhou

Edition [2nd ed.] Published Amsterdam ; Paris : Atlantis Press, ©2010

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Description 1 online resource (xxvi, 715 pages) Series Atlantis studies in mathematics for engineering and science, 1875-7642 ; v. 7 Atlantis studies in mathematics for engineering and science ; v. 7. Contents Some Basic Properties of Sobolev Spaces -- Theory of Distributions -- Pseudodifferential Operators and Their Fredholm Properties -- Finite-Element Methods: Spaces and Properties -- The Potential Equation -- The Helmholtz Equation -- The Thin Plate Equation -- Linear Elastostatics -- Some Error Estimates for Numerical Solutions of Boundary Integral Equations -- Boundary Element Methods for Semilinear Elliptic Partial Differential Equations (I): The Monotone Iteration Scheme and Error Estimates -- Boundary Element Methods for Semilinear Elliptic Partial Differential Equations (II): Algorithms and Computations for Unstable Solutions from Various Models Summary Boundary Element Methods have become a major numerical tool in scientific and engineering problem-solving, with particular applications to numerical computations and simulations of partial differential equations in engineering. Boundary Element Methods provides a rigorous and systematic account of the modern mathematical theory of Boundary Element Methods, including the requisite background on general partial, differential equation methods, Sobolev spaces, pseudo-differential and Fredholm operators and finite elements. It aims at the computation of many types of elliptic boundary value problems Analysis Mathematics Operator theory Numerical analysis numerieke methoden numerical methods wiskunde Mathematics (General) Wiskunde (algemeen) Bibliography Includes bibliographical references and index Subject Boundary element methods. Nonlinear theories. MATHEMATICS -- Calculus. MATHEMATICS -- Mathematical Analysis. Teorías no lineales Boundary element methods Nonlinear theories Form Electronic book Author Zhou, Jianxin, 1952- ISBN 9789491216275 9491216279

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