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The Boundary Element Method for Plate Analysis
book

The Boundary Element Method for Plate Analysis

by John T. Katsikadelis
July 2014
Intermediate to advanced content levelIntermediate to advanced
344 pages
10h 47m
English
Academic Press
Content preview from The Boundary Element Method for Plate Analysis
Chapter one

Preliminary Mathematical Knowledge

Abstract

This chapter gives a brief elementary description of the basic mathematical tools that will be employed throughout the book in developing the BEM for plates. It presents the Gauss-Green theorem and its application to derive the Gauss divergence theorem, the Green’s reciprocal identity and, in general, the reciprocal identity for a given linear differential operator. It also introduces Dirac’s delta function and describes its basic properties used for the derivation of the integral representation of the solution of a partial differential equation. The chapter concludes with a section on calculus on variations, which provides the reader with an efficient mathematical tool to derive the governing ...

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Publisher Resources

ISBN: 9780124167391