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Titlebook: Boundary Element Techniques in Computer-Aided Engineering; C. A. Brebbia Book 1984 Martinus Nijhoff Publishers, Dordrecht 1984 Numerical i

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Time Dependent Potential Problems,aw and Jaeger, 1969, ch.X, where Kelvin is credited with having made systematic use of this method to obtain analytical solutions. The integral representation to be derived below in Section 2 appears in Boley and Weiner, 1960, but without any numerical treatment.
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A Choice of Fundamental Solutions,tained as the particular singular solution of an elliptic boundary value problem which corresponds to a “concentrated load” (i.e. the right hand side is a delta function; see, for example, Chapter 4 of Brebbia and Walker, 1980). Now it turns out that in general, the singular part of the fundamental
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Formulation for Cracks in Plate Bending,in bounded near the boundary origin point. However, in a number of significant problems the stress resultants do indeed become unbounded, for example at the base of a through crack or more generally at a reentrant corner. In these cases the singular behavior of the stress resultants are frequently t
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Electrostatics Problems,for the solution of this type of problem because it can easily and accurately model the singularities which commonly occur in this type of problem. Secondly and perhaps most importantly it easily models infinite regions.
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Scalar and Vector Potential Theory,B. It is convenient to write dq for the area element at ., in which case σ(.)dq defines the charge strength associated with dq. This generates an electrostatic potential g(.,.)σ(.)dq at any point . of space, where ..
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