Domain decomposition algorithms for spectral methods

DOI10.1007/BF02679107zbMath0649.65064MaRDI QIDQ1106004

Paola Zanolli

Publication date: 1987

Published in: Calcolo (Search for Journal in Brave)

zbMATH Keywords

comparisonconvergencenumerical examplesparallel computationPoisson equationtest problemsspectral methodsChebyshev collocation methodalternating Schwarz algorithmmultiple- domain decomposition algorithms

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Iterative numerical methods for linear systems (65F10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (8)

Domain decomposition techniques using spectral methods ⋮ Subdomain methods in structural mechanics ⋮ Numerical simulations of natural convection around a line‐source ⋮ The automatic solution of partial differential equations using a global spectral method ⋮ Domain decomposition methods for solving parabolic PDEs on multiprocessors ⋮ Direct spectral domain decomposition method for 2D incompressible Navier-Stokes equations ⋮ Pseudospectral approximation of a PDE defined on a triangle ⋮ Spectral multigrid methods for domain decomposition problems using patching techniques

Cites Work

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• A spectral element method for fluid dynamics: Laminar flow in a channel expansion
• Chebyshev 3-D spectral and 2-D pseudospectral solvers for the Helmholtz equation
• Improvements in spectral collocation discretization through a multiple domain technique
• Generalized conjugate-gradient acceleration of nonsymmetrizable iterative methods
• Spectral methods for problems in complex geometries
• Spectral multigrid methods for elliptic equations
• Preconditioned minimal residual methods for Chebyshev spectral calculations
• Numerical analogs to the Schwarz alternating procedure
• A multidomain spectral approximation of elliptic equations
• The Schwarz Algorithm for Spectral Methods
• Thep-Version of the Finite Element Method
• An Algorithm for the Machine Calculation of Complex Fourier Series

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