Topics in Boundary Element Research

Topics in Boundary Element Research

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As the Boundary Element Method develops into a tool of engineering analysis more effort is dedicated to studying new applications and solving different problems. This book contains chapters on the basic principles of the technique, time dependent problems, fluid mechanics, hydraulics, geomechanics and plate bending. The number of non-linear and time dependent problems which have become amenable to solution using boundary elements have induced many researchers to investigate in depth the basis of the method. Chapter 0 of this book presents an ap proach based on weighted residual and error approximations, which permits easy construction of the governing boundary integral equations. Chapter I reviews the theoretical aspects of integral equation formulations with emphasis in their mathematical aspects. The analysis of time dependent problems is presented in Chap. 2 which describes the time and space dependent integral formulation of heat conduction problems and then proposes a numerical procedure and time marching algorithm. Chapter 3 reviews the application of boundary elements for fracture mechanics analysis in the presence of thermal stresses. The chapter presents numerical results and the considerations on numerical accuracy are of interest to analysts as well as practising engineers.19th U.S. Symposium on Rock Mechanics, Stateline, Nevada, 1978 46 Crotty, J. M., Wardle, L. T., Integral equation ... Brebbia, Southampton, England, 1982 50 Venturini, U., Brebbia, C. A., The Boundary Element Method for the solution of no- tension materials in Boundary Element Methods. ... 5th ISRM Congress, Melbourne, Australia, 1983 69 Beer, G., BEFE a€“ a combined oundary element finite elementanbsp;...

Title:Topics in Boundary Element Research
Author: C. A. Brebbia
Publisher:Springer - 2013-11-11

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