Abstract
Boundary Element Methods (BEM) are usually characterized by a densely populated un-symmetric solving matrix. While forced symmetrization procedures revealed ineffective, double-integration approaches proved successful in generating a symmetric system of equations. The most common symmetric formulation is based on boundary integral equations that contain Green influence functions for both kinematic and static discontinuities. The unknown boundary fields are discretized by BEs and the integral equations are enforced by a Galerkin weighted-residual approach; in traditional unsymmetric BEMs, on the contrary, the integral equations are enforced by collocation. (The symmetric Galerkin approach was first proposed in [1] and later in [2, 3]; the implementation of this approach is described in [4, 5, 6, 7].)
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Sirtori, S., Miccoli, S. (1995). Energy Formulation of the Direct and Indirect BEM approaches in elastostatics. In: Atluri, S.N., Yagawa, G., Cruse, T. (eds) Computational Mechanics ’95. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-79654-8_443
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DOI: https://doi.org/10.1007/978-3-642-79654-8_443
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