Domain decomposition operator splitting for mimetic finite difference discretizations of non-stationary problems

DOI10.1016/j.compfluid.2010.10.006zbMath1431.35076OpenAlexW2128478435MaRDI QIDQ536776

J. C. Jorge, Andrés Arrarás, Laura Portero

Publication date: 19 May 2011

Published in: Computers and Fluids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.compfluid.2010.10.006

zbMATH Keywords

domain decompositionoperator splittingfractional stepsparabolic problemmimetic finite difference

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55) Semilinear parabolic equations (35K58)

Related Items (2)

Improved accuracy for time-splitting methods for the numerical solution of parabolic equations ⋮ Post processing of solution and flux for the nodal mimetic finite difference method

Cites Work

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• Solving diffusion equations with rough coefficients in rough grids
• Domain decomposition methods for the numerical solution of partial differential equations
• A new class of second order linearly implicit fractional step methods
• Convergence of fractional step mimetic finite difference discretizations for semilinear parabolic problems
• Discretisation and multigrid solution of elliptic equations with mixed derivative terms and strongly discontinuous coefficients
• The numerical solution of diffusion problems in strongly heterogeneous non-isotropic materials
• Additive Runge-Kutta methods for the resolution of linear parabolic problems
• The mimetic finite difference method on polygonal meshes for diffusion-type problems
• Convergence Analysis of the Mimetic Finite Difference Method for Elliptic Problems
• Domain Decomposition Operator Splittings for the Solution of Parabolic Equations
• CONVERGENCE OF MIMETIC FINITE DIFFERENCE METHOD FOR DIFFUSION PROBLEMS ON POLYHEDRAL MESHES WITH CURVED FACES
• Parallel non‐iterative methods for evolutionary semilinear flow problems
• Convergence of the Mimetic Finite Difference Method for Diffusion Problems on Polyhedral Meshes
• Difference schemes with domain decomposition for solving non-stationary problems

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