Multidomain local Fourier method for PDEs in complex geometries

DOI10.1016/0377-0427(95)00185-9zbMath0854.65080OpenAlexW2093512865MaRDI QIDQ1919402

L. Vozovoi, Amir Z. Averbuch, Moshe Israeli

Publication date: 22 January 1997

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

Full work available at URL: https://doi.org/10.1016/0377-0427(95)00185-9

zbMATH Keywords

domain decompositionnumerical experimentsparallel algorithmcomplex geometriesmultidomain local Fourier method

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Parallel numerical computation (65Y05) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50)

Related Items (5)

Asymptotic Fourier coefficients for a \(C^\infty\) bell (smoothed-``top-hat) \& the Fourier extension problem ⋮ A fast 3D Poisson solver of arbitrary order accuracy ⋮ Modal spectral element method in curvilinear domains ⋮ Solution of time-dependent diffusion equations with variable coefficients using multiwavelets ⋮ A comparison of numerical algorithms for Fourier extension of the first, second, and third kinds

Cites Work

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• Parallel implementation of non-linear evolution problems using parabolic domain decomposition
• High-order splitting methods for the incompressible Navier-Stokes equations
• Spectral multidomain technique with local Fourier basis
• Parallelizing implicit algorithms for time-dependent problems by parabolic domain decomposition
• Analysis and Application of Fourier–Gegenbauer Method to Stiff Differential Equations
• Numerical Methods for the Simulation of Turbulence

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