A posteriori error estimates and maximal regularity for approximations of fully nonlinear parabolic problems in Banach spaces

DOI10.1007/s00211-008-0165-7zbMath1155.65042OpenAlexW2099307259MaRDI QIDQ958151

Charalambos G. Makridakis, Eduardo Cuesta

Publication date: 2 December 2008

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00211-008-0165-7

zbMATH Keywords

backward Euler methodmaximal regularitya posteriori estimatesfully nonlinear parabolic problems

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Error bounds for boundary value problems involving PDEs (65N15) Numerical solutions to equations with nonlinear operators (65J15)

Related Items

A posteriori error estimates for Radau IIA methods via maximal parabolic regularity, Hölder regularity for abstract semi-linear fractional differential equations in Banach spaces, Adaptivity and Blow-Up Detection for Nonlinear Evolution Problems, On Maximal Regularity Estimates for Discontinuous Galerkin Time-Discrete Methods, \(hp\)-adaptive Galerkin time stepping methods for nonlinear initial value problems, Pointwise a Posteriori Error Bounds for Blow-Up in the Semilinear Heat Equation, Conditional A Posteriori Error Bounds for High Order Discontinuous Galerkin Time Stepping Approximations of Semilinear Heat Models with Blow-up

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