A comparison of some standard elliptic solvers: CM-5 vs. Cray C-90

DOI10.1007/BF02088819zbMath0884.65116MaRDI QIDQ2564861

Chang-Ock Lee

Publication date: 2 April 1998

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

zbMATH Keywords

domain decompositionfinite elementparallel computationconjugate gradient methodmultigrid methodLaplace equationsuccessive overrelaxationperformancesred/black Gauss-Seidel relaxationSchwarz alternating direction method

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Iterative numerical methods for linear systems (65F10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Parallel numerical computation (65Y05) Numerical algorithms for specific classes of architectures (65Y10)

Cites Work

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• On the rate of convergence of the \(k\times k\) block, \(k\)-line iterative methods: \(k\to \infty\)
• Note on the Parallel Efficiency of the Frederickson-McBryan Multigrid Algorithm
• A New Convergence Proof for the Multigrid Method Including the V-Cycle
• An Optimal Order Process for Solving Finite Element Equations

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