The Boundary-Domain Integral Method for Elliptic Systems PDF Download
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Author: Andreas Pomp
Publisher: Springer
ISBN: 3540696970
Category : Mathematics
Languages : en
Pages : 175
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Book Description
This monograph gives a description of all algorithmic steps and a mathematical foundation for a special numerical method, namely the boundary-domain integral method (BDIM). This method is a generalization of the well-known boundary element method, but it is also applicable to linear elliptic systems with variable coefficients, especially to shell equations. The text should be understandable at the beginning graduate-level. It is addressed to researchers in the fields of numerical analysis and computational mechanics, and will be of interest to everyone looking at serious alternatives to the well-established finite element methods.
Author: Andreas Pomp
Publisher: Springer
ISBN: 3540696970
Category : Mathematics
Languages : en
Pages : 175
Get Book Here
Book Description
This monograph gives a description of all algorithmic steps and a mathematical foundation for a special numerical method, namely the boundary-domain integral method (BDIM). This method is a generalization of the well-known boundary element method, but it is also applicable to linear elliptic systems with variable coefficients, especially to shell equations. The text should be understandable at the beginning graduate-level. It is addressed to researchers in the fields of numerical analysis and computational mechanics, and will be of interest to everyone looking at serious alternatives to the well-established finite element methods.
Author: William Charles Hector McLean
Publisher: Cambridge University Press
ISBN: 9780521663755
Category : Mathematics
Languages : en
Pages : 376
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Book Description
This 2000 book provided the first detailed exposition of the mathematical theory of boundary integral equations of the first kind on non-smooth domains.
Author: Andreas Pomp
Publisher:
ISBN:
Category : Differential equations, Partial
Languages : en
Pages : 163
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Book Description
Author: Christian Constanda
Publisher: Springer Nature
ISBN: 303134099X
Category : Mathematics
Languages : en
Pages : 407
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Book Description
This volume contains a collection of articles on state-of-the-art developments in the construction of theoretical integral techniques and their application to specific problems in science and engineering. Chapters in this book are based on talks given at the Seventeenth International Conference on Integral Methods in Science and Engineering, held virtually in July 2022, and are written by internationally recognized researchers. This collection will be of interest to researchers in applied mathematics, physics, and mechanical, electrical, and petroleum engineering, as well as graduate students in these disciplines and other professionals for whom integration is an essential working tool.
Author: Olaf Steinbach
Publisher: Springer Science & Business Media
ISBN: 0387688056
Category : Mathematics
Languages : en
Pages : 392
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Book Description
This book presents a unified theory of the Finite Element Method and the Boundary Element Method for a numerical solution of second order elliptic boundary value problems. This includes the solvability, stability, and error analysis as well as efficient methods to solve the resulting linear systems. Applications are the potential equation, the system of linear elastostatics and the Stokes system. While there are textbooks on the finite element method, this is one of the first books on Theory of Boundary Element Methods. It is suitable for self study and exercises are included.
Author: Horst Herrlich
Publisher: Springer
ISBN: 3540342680
Category : Mathematics
Languages : en
Pages : 207
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Book Description
AC, the axiom of choice, because of its non-constructive character, is the most controversial mathematical axiom. It is shunned by some, used indiscriminately by others. This treatise shows paradigmatically that disasters happen without AC and they happen with AC. Illuminating examples are drawn from diverse areas of mathematics, particularly from general topology, but also from algebra, order theory, elementary analysis, measure theory, game theory, and graph theory.
Author: Osamu Saeki
Publisher: Springer Science & Business Media
ISBN: 9783540230212
Category : Differentiable mappings
Languages : en
Pages : 164
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Book Description
Author: Charles Favre
Publisher: Springer
ISBN: 354044646X
Category : Mathematics
Languages : en
Pages : 251
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Book Description
This volume is devoted to a beautiful object, called the valuative tree and designed as a powerful tool for the study of singularities in two complex dimensions. Its intricate yet manageable structure can be analyzed by both algebraic and geometric means. Many types of singularities, including those of curves, ideals, and plurisubharmonic functions, can be encoded in terms of positive measures on the valuative tree. The construction of these measures uses a natural tree Laplace operator of independent interest.
Author: Joris van der Hoeven
Publisher: Springer
ISBN: 354035591X
Category : Mathematics
Languages : en
Pages : 265
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Book Description
Transseries are formal objects constructed from an infinitely large variable x and the reals using infinite summation, exponentiation and logarithm. They are suitable for modeling "strongly monotonic" or "tame" asymptotic solutions to differential equations and find their origin in at least three different areas of mathematics: analysis, model theory and computer algebra. They play a crucial role in Écalle's proof of Dulac's conjecture, which is closely related to Hilbert's 16th problem. The aim of the present book is to give a detailed and self-contained exposition of the theory of transseries, in the hope of making it more accessible to non-specialists.
Author: Friedel Hartmann
Publisher: Springer Science & Business Media
ISBN: 366205423X
Category : Science
Languages : en
Pages : 492
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Book Description
This book provides a solid introduction to the foundation and the application of the finite element method in structural analysis. It offers new theoretical insight and practical advice. This second edition contains additional sections on sensitivity analysis, on retrofitting structures, on the Generalized FEM (X-FEM) and on model adaptivity. An additional chapter treats the boundary element method, and related software is available at www.winfem.de.
