A numerical analysis of variational finite difference schemes for steady state heat conduction problems with discontinuous coefficients
A class of monotone conservative schemes is derived for the boundary value problem for second order differential equation with discontinuous coefficient. The necessary condition for conservativeness of the finite difference scheme is obtained. The examples are presented for different discontinuous coefficients and the theoretical statements for the conservativeness conditions are supported by the results of numerical experiments.
KeywordsWeak Solution Conservative Scheme Conservativeness Condition Finite Difference Scheme Discontinuity Point
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