an:00034833
Zbl 0745.65075
Karageorghis, Andreas
The method of fundamental solutions for the solution of steady-state free boundary problems
EN
J. Comput. Phys. 98, No. 1, 119-128 (1992).
00159123
1992
j
65Z05 35R35 76S05 76B10
method of fundamental solutions; free boundary problems; boundary singularities; seepage; cavity flow
The author discusses the method of fundamental solutions and its application to free boundary problems. He gives the results obtained by using the method for a problem with a known exact solution and compares the results, and notes that a drawback is that boundary singularities tend to move to the interior of the domain under consideration. Solutions, in the form of graphs are given for three problems: seepage through a rectangular porous dam, Riabouchinsky cavity flow and flow over a weir. He points out that where there are boundary singularities, it may be necessary to use a very large number of degrees of freedom.
Ll.G.Chambers (Bangor)