Parallel algorithm for solving linear systems arising from PDE and integral equations

DOI10.1016/S0096-3003(03)00353-9zbMath1048.65031MaRDI QIDQ1826659

Yanyan Li

Publication date: 6 August 2004

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

zbMATH Keywords

AlgorithmConvergenceNavier-Stokes equationIterative methodsParallel computingPreconditioningSparse matricesIntegral equationsSaddle-point problems

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Navier-Stokes equations (35Q30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Iterative numerical methods for linear systems (65F10) Numerical computation of matrix norms, conditioning, scaling (65F35) Parallel numerical computation (65Y05) Fredholm integral equations (45B05) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55)

Cites Work

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• Lectures on linear least-squares estimation
• A class of iterative methods for solving saddle point problems
• Divergence-Free Bases for Finite Element Schemes in Hydrodynamics
• The Factorization and Representation of Operators in the Algebra Generated by Toeplitz Operators
• A Preconditioned Iterative Method for Saddlepoint Problems
• Iterative Solution Methods
• The Numerical Solution of Integral Equations of the Second Kind
• A parallel balance scheme for banded linear systems
• Hybrid Parallel Linear System Solvers