Computational and convergence analysis of difference schemes for an elliptic equation with localized nonlinear own source term
by
Juri D. Kandilarov
University of Rousse, Department of Applied Mathematics and Informatics, Studentska str. 8, 7017 Rousse, Bulgaria
Coauthors: Bovsko S. Jovanovic (University of Belgrade, Faculty of Mathematics, Studentski trg 16, 11000 Belgrade, Yugoslavia, Lubin G. Vulkov (University of Rousse, Department of Applied Mathematics and Informatics, Studentska str. 8, 7017 Rousse, Bulgaria)

We consider the Dirichlet problem with zero boundary conditions

-\Deltau + c(x, u) \deltaS(x) = f(x),  x = (x1, x2) in \Omega

where \Omega = (0, 1)², and S subset \Omega is a continuous curve and \delta_S(X) is the Dirac-delta function concentrated on S. Issues of solution and convergence of the difference schemes are discussed.

Date received: February 17, 2000

Copyright © 2000 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caen-29.