A Posteriori 𝑳∞(𝑳𝟐) and 𝑳∞(𝑯𝟏) Error Analysis of Semdiscrete Semilinear Parabolic Problems
Eurasian Journal of Science and Engineering（2022）
摘要
This paper aims to construct a posteriori error bounds for semilinear parabolic equations. The derivation of this bound is inspired by Makridakis and Nochetto 2003. Some challenges have been addressed through Lipschitz conditions and Gronwall’s inequality. The curtail idea for proving these estimators is to reduce the computation of schemes.
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关键词
posteriori error estimate,semilinear parabolic problems,finite element methods
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