TY - JOUR
T1 - The hybrid boundary element method applied to problems of potential theory in nonhomogeneous materials
AU - Dumont, Ney A.
AU - Chaves, Ricardo A.P.
AU - Paulino, Glaucio H.
PY - 2004/12
Y1 - 2004/12
N2 - Since the introduction of the hybrid boundary element method in 1987, it has been applied to various problems of elasticity and potential theory, including time-dependent problems. This paper focuses on establishing the conceptual framework for applying both the variational formulation and a simplified version of the hybrid boundary element method to nonhomogeneous materials. Several classes of fundamental solutions for problems of potential are derived. Thus, the boundary-only feature of the method is preserved even with a spatially varying material property. Several numerical examples are given in terms of an efficient patch test including irregularly bounded, unbounded, and multiply connected regions submitted to high gradients.
AB - Since the introduction of the hybrid boundary element method in 1987, it has been applied to various problems of elasticity and potential theory, including time-dependent problems. This paper focuses on establishing the conceptual framework for applying both the variational formulation and a simplified version of the hybrid boundary element method to nonhomogeneous materials. Several classes of fundamental solutions for problems of potential are derived. Thus, the boundary-only feature of the method is preserved even with a spatially varying material property. Several numerical examples are given in terms of an efficient patch test including irregularly bounded, unbounded, and multiply connected regions submitted to high gradients.
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U2 - 10.1142/S1465876304002708
DO - 10.1142/S1465876304002708
M3 - Article
AN - SCOPUS:33748287000
SN - 1465-8763
VL - 5
SP - 863
EP - 891
JO - International Journal of Computational Engineering Science
JF - International Journal of Computational Engineering Science
IS - 4
ER -