Boundary integral equation methods and numerical solutions : thin plates on an elastic foundation /

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Bibliographic Details
Author / Creator:Constanda, C. (Christian), author.
Imprint:Cham : Springer, 2016.
Description:1 online resource : illustrations
Language:English
Series:Developments in mathematics ; vol. 35
Developments in mathematics ; vol. 35.
Subject:
Format: E-Resource Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/11253879
Hidden Bibliographic Details
Other authors / contributors:Doty, Dale, author.
Hamill, William, author.
ISBN:9783319263090
3319263099
3319263072
9783319263076
9783319263076
Digital file characteristics:text file PDF
Notes:Includes bibliographical references and index.
English.
Vendor-supplied metadata.
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.
Other form:Printed edition: 9783319263076
Standard no.:10.1007/978-3-319-26309-0
Description
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.

Physical Description:1 online resource : illustrations
Bibliography:Includes bibliographical references and index.
ISBN:9783319263090
3319263099
3319263072
9783319263076