Complex Polynomial Approximation of the LaPlace Equation
Publication: Journal of Hydraulic Engineering
Volume 110, Issue 3
Abstract
A method of approximating the solution of the Laplace equation in two‐dimensions is presented. The numerical approach is to determine a complex variable polynomial which satisfies the specified boundary conditions along a simple closed contour. Since the method is simple to apply to time‐stepped, quasi‐steady state saturated ground water problems or moving boundary problems, a significant savings in computational effort over other boundary integral equation methods is available. Applications to a free water surface problem and a moving boundary problem are presented. Error bounds and model stability are considered.
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Published In
Journal of Hydraulic Engineering
Volume 110 • Issue 3 • March 1984
Pages: 329 - 339
Copyright
Copyright © 1984 ASCE.
History
Published online: Mar 1, 1984
Published in print: Mar 1984
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