A posteriori error estimates for variable time-step discretizations of nonlinear evolution equations

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DOI<525::AID-CPA1>3.0.CO;2-M 10.1002/(SICI)1097-0312(200005)53:5<525::AID-CPA1>3.0.CO;2-MzbMath1021.65047OpenAlexW2068432368MaRDI QIDQ4487964

Giuseppe Savaré, Ricardo H. Nochetto, Claudio Verdi

Publication date: 25 June 2000

Full work available at URL: https://doi.org/10.1002/(sici)1097-0312(200005)53:5<525::aid-cpa1>3.0.co;2-m

zbMATH Keywords

Cauchy problem Hilbert spaces a posteriori error estimates backward Euler method degenerate type abstract evolution equations strongly nonlinear problems variable time steps

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Abstract parabolic equations (35K90) Nonlinear differential equations in abstract spaces (34G20) Degenerate parabolic equations (35K65) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Numerical solutions to equations with nonlinear operators (65J15) Error bounds for numerical methods for ordinary differential equations (65L70)

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