Analysis for Time Discrete Approximations of Blow-up Solutions of Semilinear Parabolic Equations
نویسندگان
چکیده
We prove a posteriori error estimates for time discrete approximations, for semilinear parabolic equations with solutions that might blow-up in finite time. In particular we consider the backward Euler and the Crank-Nicolson methods. The main tools that are used in the analysis are the reconstruction technique and energy methods combined with appropriate fixed point arguments. The final estimates we derive are conditional and lead to error control near the blow-up time.
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ورودعنوان ژورنال:
- SIAM J. Numerical Analysis
دوره 49 شماره
صفحات -
تاریخ انتشار 2011