Abstract
A new and exciting numerical approach to solving two-dimensional potential problems is obtained by use of the Cauchy integral equation for analytic functions. The resulting integral equation is readily solvable by computer, and produces a pair of two-dimensional conjugate harmonic functions which satisfy the Laplace equation over the problem domain.
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References
Hromadka II, T.V. and Guymon, G.L., Application of a Boundary Integral Equation to Prediction of Freezing Fronts in Soils. In: Cold Regions Science and Technology 6, 115–121 (1982).
Hromadka II, T.V. and Guymon, G.L., Complex Polynomial Approximation of the Laplace Equation. In: ASCE Hydraulics Division, Vol. 110, No. 3, March 1984
Hromadka II, V.T. and Guymon, G.L., A Complex Variable Boundary Element Method: Development. International Journal of Numerical Methods in Engineering, April 1983
Hromadka II, T.V., The Complex Variable Boundary Element Method. Springer-Verlag, Berlin, Heidelberg, New York 1984
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© 1987 Springer-Verlag Berlin, Heidelberg
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Hromadka, T.V. (1987). Complex Variable Boundary Elements in Computational Mechanics. In: Brebbia, C.A. (eds) Computational Aspects. Topics in Boundary Element Research, vol 3. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-82663-4_7
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DOI: https://doi.org/10.1007/978-3-642-82663-4_7
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-82665-8
Online ISBN: 978-3-642-82663-4
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