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Taschenbuch. Zustand: Neu. Neuware -The main purpose of this book is to extend the range of applications of the Dual Reciprocity Boundary Element Method (DRBEM) to inverse source and boundary value problems. Recently inverse problems have become more and more important in various fields of science and technology, and have certainly been one of the fastest growing areas in research in applied mathematics. However, as they usually lead to mathematical models which are ill-posed, their solutions are unstable under data perturbation and classical numerical techniques fail to produce accurate solutions. This book is dedicated to an investigation of some inverse source and boundary value problems associated with the Poisson equation, with the ultimate aim of producing stable numerical solutions. Theoretical description and numerical results are presented for each case approached, with a focus on the accuracy and stability of the numerical techniques proposed. This book should help the scientific community in general in the development of numerical methods for inverse problems and should be especially useful to students and researchers in Applied Mathematics and Engineering.Books on Demand GmbH, Überseering 33, 22297 Hamburg 228 pp. Englisch.

Buch. Zustand: Neu. Neuware -The boundary element method (BEM) is now a well-established numerical technique which provides an efficient alternative to the prevailing finite difference and finite element methods for the solution of a wide range of engineering problems. The main advantage of the BEM is its unique ability to provide a complete problem solution in terms of boundary values only, with substantial savings in computer time and data preparation effort. An initial restriction of the BEM was that the fundamental solution to the original partial differential equation was required in order to obtain an equivalent boundary in tegral equation. Another was that non-homogeneous terms accounting for effects such as distributed loads were included in the formulation by means of domain integrals, thus making the technique lose the attraction of its 'boundary-only' character. Many different approaches have been developed to overcome these problems. It is our opinion that the most successful so far is the dual reciprocity method (DRM), which is the subject matter of this book. The basic idea behind this approach is to employ a fundamental solution corresponding to a simpler equation and to treat the remaining terms, as well as other non-homogeneous terms in the original equation, through a procedure which involves a series expansion using global approximating functions and the application of reciprocity principles. 304 pp. Englisch.

Buch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - The boundary element method (BEM) is now a well-established numerical technique which provides an efficient alternative to the prevailing finite difference and finite element methods for the solution of a wide range of engineering problems. The main advantage of the BEM is its unique ability to provide a complete problem solution in terms of boundary values only, with substantial savings in computer time and data preparation effort. An initial restriction of the BEM was that the fundamental solution to the original partial differential equation was required in order to obtain an equivalent boundary in tegral equation. Another was that non-homogeneous terms accounting for effects such as distributed loads were included in the formulation by means of domain integrals, thus making the technique lose the attraction of its 'boundary-only' character. Many different approaches have been developed to overcome these problems. It is our opinion that the most successful so far is the dual reciprocity method (DRM), which is the subject matter of this book. The basic idea behind this approach is to employ a fundamental solution corresponding to a simpler equation and to treat the remaining terms, as well as other non-homogeneous terms in the original equation, through a procedure which involves a series expansion using global approximating functions and the application of reciprocity principles.

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Zustand: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Autor/Autorin: Farcas AdrianAdrian Farcas was educated at Babes-Bolyai University, Cluj-Napoca, Romania (BSc in Mathematics, 2000) and at University of Leeds, UK (PhD in Applied Mathematics, 2004). He is currently a Research Fellow at BP Institute,.

Zustand: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. The boundary element method (BEM) is now a well-established numerical technique which provides an efficient alternative to the prevailing finite difference and finite element methods for the solution of a wide range of engineering problems. The main advanta.

Taschenbuch. Zustand: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -The main purpose of this book is to extend the range of applications of the Dual Reciprocity Boundary Element Method (DRBEM) to inverse source and boundary value problems. Recently inverse problems have become more and more important in various fields of science and technology, and have certainly been one of the fastest growing areas in research in applied mathematics. However, as they usually lead to mathematical models which are ill-posed, their solutions are unstable under data perturbation and classical numerical techniques fail to produce accurate solutions. This book is dedicated to an investigation of some inverse source and boundary value problems associated with the Poisson equation, with the ultimate aim of producing stable numerical solutions. Theoretical description and numerical results are presented for each case approached, with a focus on the accuracy and stability of the numerical techniques proposed. This book should help the scientific community in general in the development of numerical methods for inverse problems and should be especially useful to students and researchers in Applied Mathematics and Engineering. 228 pp. Englisch.

Taschenbuch. Zustand: Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - The main purpose of this book is to extend the range of applications of the Dual Reciprocity Boundary Element Method (DRBEM) to inverse source and boundary value problems. Recently inverse problems have become more and more important in various fields of science and technology, and have certainly been one of the fastest growing areas in research in applied mathematics. However, as they usually lead to mathematical models which are ill-posed, their solutions are unstable under data perturbation and classical numerical techniques fail to produce accurate solutions. This book is dedicated to an investigation of some inverse source and boundary value problems associated with the Poisson equation, with the ultimate aim of producing stable numerical solutions. Theoretical description and numerical results are presented for each case approached, with a focus on the accuracy and stability of the numerical techniques proposed. This book should help the scientific community in general in the development of numerical methods for inverse problems and should be especially useful to students and researchers in Applied Mathematics and Engineering.

Buch. Zustand: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -The boundary element method (BEM) is now a well-established numerical technique which provides an efficient alternative to the prevailing finite difference and finite element methods for the solution of a wide range of engineering problems. The main advantage of the BEM is its unique ability to provide a complete problem solution in terms of boundary values only, with substantial savings in computer time and data preparation effort. An initial restriction of the BEM was that the fundamental solution to the original partial differential equation was required in order to obtain an equivalent boundary in tegral equation. Another was that non-homogeneous terms accounting for effects such as distributed loads were included in the formulation by means of domain integrals, thus making the technique lose the attraction of its 'boundary-only' character. Many different approaches have been developed to overcome these problems. It is our opinion that the most successful so far is the dual reciprocity method (DRM), which is the subject matter of this book. The basic idea behind this approach is to employ a fundamental solution corresponding to a simpler equation and to treat the remaining terms, as well as other non-homogeneous terms in the original equation, through a procedure which involves a series expansion using global approximating functions and the application of reciprocity principles. 304 pp. Englisch.

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