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Analysis for time discrete approximations of blow-up solutions of semilinear parabolic equations
journal contribution
posted on 2023-06-08, 14:59 authored by Irene Kyza, Charalambos MakridakisCharalambos MakridakisWe 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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- Published
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- Published version
Journal
SIAM Journal on Numerical AnalysisISSN
0036-1429Publisher
Society for Industrial and Applied MathematicsExternal DOI
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1Volume
49Page range
405-426Department affiliated with
- Neuroscience Publications
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- Yes
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- Yes
Legacy Posted Date
2013-05-21First Open Access (FOA) Date
2013-05-21First Compliant Deposit (FCD) Date
2013-05-21Usage metrics
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