Superconvergence of the Strang splitting when using the Crank-Nicolson scheme for parabolic PDEs with Dirichlet and oblique boundary conditions

DOI10.1090/mcom/3664zbMath1500.65059arXiv2011.05178OpenAlexW3157349978WikidataQ114094313 ScholiaQ114094313MaRDI QIDQ4956922

Christophe Besse, Gilles Vilmart, Guillaume Bertoli

Publication date: 2 September 2021

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2011.05178

zbMATH Keywords

Crank-Nicolson schemeStrang splittingfinite element discretization for the spatial discretization

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) 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) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Numerical methods for stiff equations (65L04)

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Uses Software

• Algorithm 919
• phipm

Cites Work

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