By Christian Constanda,Dale Doty,William Hamill
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 suggestions of those difficulties are got either analytically—by technique of direct and oblique boundary vital equation equipment (BIEMs)—and numerically, in the course of the program of a boundary element technique. The textual content discusses the technique for developing a BIEM, deriving all the attending mathematical houses with complete rigor. The model investigated in the ebook can function a template for the learn of any linear elliptic two-dimensional challenge with consistent coefficients. The illustration of the answer by way of 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 publication, where approximate solutions are computed with a excessive measure of accuracy.
The e-book is meant for graduate scholars and researchers within the fields of boundary quintessential equation equipment, computational mechanics and, extra commonly, scientists operating within the parts of utilized arithmetic and engineering. Given its distinct presentation of the fabric, the e-book can be used as a textual content in a really expert graduate path at the purposes of the boundary point solution to the numerical computation of solutions in a large choice of problems.
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Extra resources for 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) by Christian Constanda,Dale Doty,William Hamill