Electronic Resource
Springer
Numerische Mathematik
43 (1984), S. 463-483
ISSN:
0945-3245
Keywords:
AMS(MOS): 65N30
;
CR: 5.17
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Summary The method of lines is used to semi-discretize the non-linear Poisson equation over a domain with a free boundary. The resulting multipoint free boundary problem is solved with a line Gauss-Seidel method which is shown to converge monotonically. The method of lines solution is then shown to converge to the continuous solution of the variational inequality form of the obstacle problem. Some numerical results for the diffusion-reaction equation indicate that the method is applicable to more general free boundary problems for nonlinear elliptic equations.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01390185
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