Schur complement domain decomposition algorithms for spectral methods

DOI10.1016/0168-9274(89)90054-8zbMath0687.65106OpenAlexW2024188915WikidataQ57397449 ScholiaQ57397449MaRDI QIDQ1263265

Danny Goovaerts, Tony F. Chan

Publication date: 1989

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0168-9274(89)90054-8

zbMATH Keywords

preconditioningcondition numberparallel algorithmsPoisson equationspectral methodspreconditioned conjugate gradientSchur complement 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) Numerical computation of matrix norms, conditioning, scaling (65F35) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Parallel numerical computation (65Y05)

Related Items (3)

Fast Factorization Update for General Elliptic Equations Under Multiple Coefficient Updates ⋮ Preconditioned spectral multi-domain discretization of the incompressible Navier-Stokes equations ⋮ A noniterative solution approach for parallel pseudospectral domain decomposition

Cites Work

• A spectral element method for fluid dynamics: Laminar flow in a channel expansion
• Parallel algorithms for the capacitance matrix method in domain decompositions
• Spectral methods for problems in complex geometries
• A capacitance matrix method for Dirichlet problem on polygon region
• Analysis of Preconditioners for Domain Decomposition
• Iterative Methods for the Solution of Elliptic Problems on Regions Partitioned into Substructures
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Schur complement domain decomposition algorithms for spectral methods