Boundary Integral Equation Methods and Numerical Solutions : Thin Plates on an Elastic Foundation. 1st ed. 2016

種類:

電子ブック

責任表示:

by Christian Constanda, Dale Doty, William Hamill

出版情報:

Cham : Springer International Publishing : Imprint: Springer, 2016

著者名:

• Constanda, Christian.
• Doty, Dale.
• Hamill, William.
• SpringerLink (Online service)

シリーズ名:

Developments in Mathematics ; 35

ISBN:

9783319263090 [3319263099]    

注記:

Preface -- 1. The Mathematical Model -- 2. The Layer Potentials -- 3. Existence of Solutions -- 4. Software Development -- 5. Computational Examples -- References -- Index.
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 resea

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