Origins, Analysis, Numerical Analysis, and Numerical Approximation of a Forward-backward Parabolic Problem
نویسندگان
چکیده
We consider the analysis and numerical solution of a forward-backward boundary value problem. We provide some motivation, prove existence and uniqueness in a function class especially geared to the problem at hand, provide various energy estimates, prove a priori error estimates for the Galerkin method, and show the results of some numerical computations. AMS Subject Classification. 65M60, 65N30, 65N15, 76D15, 76M10. Received: July 28, 1997. Revised: June 30, 1998.
منابع مشابه
Origins , Analysis , Numerical Analysis , and NumericalApproximation of a Forward - Backward Parabolic ProblemA
We consider the analysis and numerical solution of a forward-backward boundary value problem. We provide some motivation, prove existence and uniqueness in a function class especially geared to the problem at hand, provide various energy estimates, prove a priori error estimates for the Galerkin method, and show the results of some numerical computations.
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تاریخ انتشار 1999