Boundary integral equation methods and numerical solutions [electronic resource] : thin plates on an elastic foundation / Christian Constanda, Dale Doty, William Hamill.
Constanda, C. (Christian), author.; Doty, Dale, author.; Hamill, William, author.
2016
TA347.B69
Available Online

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Title Boundary integral equation methods and numerical solutions [electronic resource] : thin plates on an elastic foundation / Christian Constanda, Dale Doty, William Hamill.
Author Constanda, C. (Christian), author.
ISBN 9783319263090 (electronic book)
3319263099 (electronic book)
9783319263076
DOI https://doi.org/10.1007/978-3-319-26309-0
Published Cham : Springer, 2016.
Language English
Description 1 online resource : illustrations
Other Standard Identifiers 10.1007/978-3-319-26309-0 doi
Call Number TA347.B69
Dewey Decimal Classification 620.00151535
Summary This book presents and explains a general, efficient, and elegant method for solving the Dirichlet, Neumann, and Robin boundary value problems for the extensional deformation of a thin plate on an elastic foundation. The solutions of these problems are obtained both analytically--by means of direct and indirect boundary integral equation methods (BIEMs)--and numerically, through the application of a boundary element technique. The text discusses the methodology for constructing a BIEM, deriving all the attending mathematical properties with full rigor. The model investigated in the book can serve as a template for the study of any linear elliptic two-dimensional problem with constant coefficients. The representation of the solution in terms of single-layer and double-layer potentials is pivotal in the development of a BIEM, which, in turn, forms the basis for the second part of the book, where approximate solutions are computed with a high degree of accuracy. The book is intended for graduate students and researchers in the fields of boundary integral equation methods, computational mechanics and, more generally, scientists working in the areas of applied mathematics and engineering. Given its detailed presentation of the material, the book can also be used as a text in a specialized graduate course on the applications of the boundary element method to the numerical computation of solutions in a wide variety of problems. .
Bibliography, etc. Note Includes bibliographical references and index.
Access Note Access limited to authorized users.
Added Author Doty, Dale, author.
Hamill, William, author.
Series Developments in mathematics ; vol. 35.
Available in Other Form Print version: 9783319263076
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Preface
1. The Mathematical Model
2. The Layer Potentials
3. Existence of Solutions
4. Software Development
5. Computational Examples
References
Index.

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