Multi-time-step domain decomposition method with non-matching grids for parabolic problems

DOI10.1016/j.amc.2015.01.055zbMath1410.65364OpenAlexW2026949244MaRDI QIDQ669752

Aleš Nekvinda, Manoj Kumar Yadav, Michal Beneš

Publication date: 15 March 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2015.01.055

zbMATH Keywords

domain decomposition methodsparabolic problemsnon-matching gridsmulti-time-step methods

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Parallel numerical computation (65Y05) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55)

Related Items (7)

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 ⋮ Loosely coupled, non-iterative time-splitting scheme based on Robin-Robin coupling: unified analysis for parabolic/parabolic and parabolic/hyperbolic problems ⋮ Barycentric interpolation of interface solution for solving stochastic partial differential equations on non-overlapping subdomains with additive multi-noises ⋮ Thermal modelling of selective beam melting processes using heterogeneous time step sizes ⋮ A multi-timestep Robin-Robin domain decomposition method for time dependent advection-diffusion problems ⋮ A multi-timestep Dirichlet-Neumann domain decomposition method applied to the polymer injection in porous media

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