Spectral multidomain technique with local Fourier basis

DOI10.1007/BF01060869zbMath0784.76066OpenAlexW2045974403MaRDI QIDQ1309422

L. Vozovoi, Moshe Israeli, Amir Z. Averbuch

Publication date: 23 March 1994

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01060869

zbMATH Keywords

elliptic problemsparallel processingmatching procedure\(C^ 1\) continuityanalytical homogeneous solutionsMIMD type parallel machinestime discretized parabolic problems

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Parallel numerical computation (65Y05) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

Related Items

A least square extrapolation method for improving solution accuracy of PDE computations, Spectral multidomain technique with local Fourier basis. II: Decomposition into cells, Asymptotic Fourier coefficients for a \(C^\infty\) bell (smoothed-``top-hat) \& the Fourier extension problem, A fast 3D Poisson solver of arbitrary order accuracy, Multidomain local Fourier method for PDEs in complex geometries, On a fast direct elliptic solver by a modified Fourier method, A windowing method for periodic inflow/outflow boundary treatment of non-periodic flows, Parallel algorithms with local Fourier basis, Fourier spectral embedded boundary solution of the Poisson's and Laplace equations with Dirichlet boundary conditions, Domain decomposition methods for solving parabolic PDEs on multiprocessors, A new parallel solver for the nonperiodic incompressible Navier-Stokes equations with a Fourier method: Application to frontal polymerization, A parallel adaptive coupling algorithm for systems of differential equations, Parallelizing implicit algorithms for time-dependent problems by parabolic domain decomposition, 2D pseudo-spectral parallel Navier-Stokes simulations of compressible Rayleigh-Taylor instability., A comparison of numerical algorithms for Fourier extension of the first, second, and third kinds

Cites Work

• Unnamed Item
• Unnamed Item
• The Chebyshev multidomain approach to stiff problems in fluid mechanics
• High-order splitting methods for the incompressible Navier-Stokes equations
• A pseudo-spectral FFT technique for non-periodic problems
• A Fourier Method for the Numerical Solution of Poisson's Equation