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Full Description
The transformation of domain integrals to the boundary is one of the most challenging and important parts of boundary element research. Numerous problems involve the treatment of different types of domain integrals and this has led many researchers to develop techniques that convert domain into boundary integrals. These range from the use of an alytical solutions to the more innovative Dual and Multiple Reciprocity Methods. This book presents a review of existing methods as well as a series of new developments in analytical and numerical methods to treat domain integrals.
Contents
On the treatment of domain integrals in BEM; The use of Dirac delta functions for reducing domain loading integrals in plate problems; The multiple-reciprocity method for elastic problems with arbitrary body force; Exact volume-to-surface integral transformation for 2D aniotropic elasticity with body forces; Treatment of body forces in single-domain boundary integral equation method for anisotropic elasticity; Generalized body forces in multi-field problems with material anisotropy; Transformation of domain integrals to boundary intregrals in BEM analysis of plate and shell structures; Recent developments in dual reciprocity method using compactly supported radial basis functions; On the convergence of the dual reciprocity method for Poisson's equation.