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M. Vable, D. L. Sikarskie (1981)
An efficient algorithm for the numerical evaluation of boundary integral equationsComput. Struct., 14
N. Altiero, S. Gavazza (1979)
An effective boundary-integral approach for the mixed boundary-value problems of linear elastostaticsApplied Mathematical Modelling, 3
J. Alexander, S. Antman (1982)
The ambiguous twist of LoveQuarterly of Applied Mathematics, 40
F. Rizzo (1967)
An integral equation approach to boundary value problems of classical elastostaticsQuarterly of Applied Mathematics, 25
The solution to a two‐dimensional problem using the boundary element method requires the evaluation of a line integral over the boundary. The integrand ot this line integral is a product of a known Green's function and an unknown function. A large number of Green's functions for two‐dimensional problems can be represented by a linear combination of four singular functions. By approximating the unknown function by a linear combination of known polynomials, integrals are generated whose integrand is a product of the polynomiais and one of the four singular functions. To evaluate these integrals analytically, the boundary is approximated by a sum of straight‐line segments. Recursive formulae are established which reduce the generality and the complexity of the integrands to simple expressions. Analytical forms for these simple expressions are found and are used for initiating the algorithm.
International Journal for Numerical Methods in Engineering – Wiley
Published: Sep 1, 1985
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