Maximum norm stability of difference schemes for parabolic equations on overset nonmatching space-time grids

DOI10.1090/S0025-5718-02-01462-XzbMath1019.65070OpenAlexW2029630291MaRDI QIDQ4794633

Tarek P. A. Mathew, Giovanni Russo

Publication date: 19 February 2003

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

Full work available at URL: https://doi.org/10.1090/s0025-5718-02-01462-x

zbMATH Keywords

convergencediscrete maximum principleparabolic equationsreaction-diffusion equationsmaximum norm stabilitycomposite gridsparallel Schwarz alternating methoddiscrete barrier functionshyperbolic-parabolic approximationsnonmatching overset space-time grids

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) 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)

Related Items (5)

Convergence and stability analysis of heterogeneous time step coupling schemes for parabolic problems ⋮ Multi-time-step domain decomposition and coupling methods for nonlinear parabolic problems ⋮ Maximum norm analysis of a nonmatching grids method for nonlinear elliptic PDEs ⋮ A note on the \(H^1\)-convergence of the overlapping Schwarz waveform relaxation method for the heat equation ⋮ Maximum norm analysis of an overlapping nonmatching grids method for the obstacle problem

Uses Software

• CMPGRD

Cites Work

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