Boundary Integral Equation Methods and Numerical Solutions: Thin Plates on an Elastic Foundation (Developments in Mathematics)

Boundary Integral Equation Methods and Numerical Solutions: Thin Plates on an Elastic Foundation (Developments in Mathematics)


This book presents and explains a basic, effective, and chic method for solving the Dirichlet, Neumann, and Robin boundary price difficulties for the extensional deformation of a skinny plate on an elastic starting place. The ideas of those difficulties are acquired either analytically―by technique of direct and oblique boundary vital equation equipment (BIEMs)―and numerically, during the software of a boundary element technique.  The textual content discusses the technique for developing a BIEM, deriving all the attending mathematical homes with complete rigor. The model investigated in the booklet can function a template for the examine of any linear elliptic two-dimensional challenge with consistent coefficients.  The illustration of the answer when it comes to single-layer and double-layer potentials is pivotal within the improvement of a BIEM, which, in flip, kinds the foundation for the second one a part of the ebook, where approximate solutions are computed with a excessive measure of accuracy.

The publication is meant for graduate scholars and researchers within the fields of boundary fundamental equation equipment, computational mechanics and, extra normally, scientists operating within the components of utilized arithmetic and engineering. Given its targeted presentation of the cloth, the ebook is usually used as a textual content in a really good graduate direction at the functions of the boundary aspect technique to the numerical computation of solutions in a wide selection of problems. 

Show sample text content

Download sample