General Approaches on Formulating Weakly-Singular BIES for PDES
作者： Z. D. Han , S. N. Atluri
DOI: 10.1007/978-1-4020-9710-2_12
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摘要: Straight-forward systematic development of the weakly-singular boundary integral equations (BIEs) for general Partial Differential Equations (PDEs) are extended in present study by utilizing gradients fundamental solutions as test function, following original work reported Okada, Rajiyah, and Atluri (J. Appl. Mech. April, 1988) its extension Han (2002 CMES 3(6): 699–716) Qian, Han, Ufimtsev, (2004 5(6): 541–562). The weak-forms their algebraic combinations directly applied derivation “intrinsic proprieties”, which used to avoid hyper-singularities decomposing singularities kernel functions BIEs. BIEs based on method has been demonstrated formulating elasticity acoustics with details, respectively. corresponding formulation have numerically implemented verified solving numerical examples.
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