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Boundary Integral Equation Methods and Numerical Solutions: Thin Plates on an Elastic Foundation /
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Catalogue Information
Field name
Details
Dewey Class
515.45
Title
Boundary Integral Equation Methods and Numerical Solutions ([EBook]) : Thin Plates on an Elastic Foundation / / by Christian Constanda, Dale Doty, William Hamill.
Author
Constanda, Christian
Added Personal Name
Doty, Dale
author.
Hamill, William
author.
Other name(s)
SpringerLink (Online service)
Edition statement
1st ed. 2016.
Publication
Cham : : Springer International Publishing : : Imprint: Springer, , 2016.
Physical Details
XII, 232 p. 251 illus., 196 illus. in color. : online resource.
Series
Developments in mathematics
1389-2177 ; ; 35
ISBN
9783319263090
Summary Note
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. .:
Contents note
Preface -- 1. The Mathematical Model -- 2. The Layer Potentials -- 3. Existence of Solutions -- 4. Software Development -- 5. Computational Examples -- References -- Index.
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site
http://dx.doi.org/10.1007/978-3-319-26309-0
Links to Related Works
Subject References:
Functions of a Complex Variable
.
Functions of complex variables
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Integral Equations
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Mathematics
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Partial differential equations
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Authors:
Constanda, Christian
.
Doty, Dale
.
Hamill, William
.
Corporate Authors:
SpringerLink (Online service)
.
Series:
Developments in mathematics
.
Classification:
515.45
.
515.45 (DDC 23)
.
.
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