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    Mathematical Foundation of the Collocation Boundary Element Method: Consistent Formulation, Convergence Theorem and Accurate Numerical Quadrature

    Ney Augusto Dumont

    The International Conference on Computational & Experimental Engineering and Sciences, Vol.22, No.4, pp. 192-192, 2019, DOI:10.32604/icces.2019.05284

    Abstract The use of boundary integral equations as an attempt to solve general problems of elasticity and potential has largely preceded the use of domain-related developments, which only became feasible (and conceivable) with the advent of powerful computational devices. On the other hand, the present-day matrix, computational-ready outline of the boundary element method (including its nowadays prevalent name) has borrowed – in part correctly and in part wrongly – much from the finite element concepts and formulation. We propose a revisit of the method, including, as for elasticity problems: a) conceptual reformulation in terms of weighted… More >

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