A Fully Discrete Adaptive Nonlinear Chernoff Formula

DOI10.1137/0730052zbMath0805.65135OpenAlexW2022806886MaRDI QIDQ3136558

Claudio Verdi, Ricardo H. Nochetto, Maurizio Paolini

Publication date: 18 October 1993

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0730052

zbMATH Keywords

stabilityenergy estimateserror estimatessingularitieslinearizationnumerical experimentsnumerical diffusiondiscrete maximum principleadaptive finite element methodsdiscrete regularitytwo- phase Stefan problemenlarged transition regionnonlinear Chernoff formula

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Stefan problems, phase changes, etc. (80A22) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Free boundary problems for PDEs (35R35) Applications to the sciences (65Z05)

Related Items (4)

An efficient linear scheme to approximate nonlinear diffusion problems ⋮ A linear finite volume method for nonlinear cross-diffusion systems ⋮ Error estimates and adaptive finite element methods ⋮ An adaptive finite element algorithm for a two-dimensional stationary Stefan-like problem

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