Author(s)

D. W. Nicholson, A. J. Kassab & I. lonescu

Abstract

Domain integral reduction in BEM: the foundations D. W. Nicholson*, A. J. Kassab^&I. lonescu* Department of Mechanical Materials and Aerospace Engineering, University of Central Florida, Orlando, Fl Abstract Foundations of a new BEM algorithm, called Domain Integral Reduc- tion (DIRA), are discussed. DIRA concerns situations in which an exact fundamental solution is not available, for example in many nonlinear, inhomogeneous and dynamic problems. Commonly, an approximate fundamental solution is used from, say, a corresponding linear, homogeneous or static problem. Doing so gives rise to a residual domain integral at variance with the boundary-only character of BEM. Current methods for domain integrals include Dual Reciprocity Algorithms, domain cells, and Monte Carlo integration methods, all involving calculations at points throughout the domain. Some dependence of accuracy and efficiency is expected on the number and positions of the internal points. DIRA exp

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