On some parallel iterative methods for solving elliptic equations on triangular grids

DOI10.1134/S0012266106070111zbMath1126.65096OpenAlexW2076420998MaRDI QIDQ2461928

Olga Yu. Milyukova

Publication date: 21 November 2007

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0012266106070111

zbMATH Keywords

triangulationnumerical examplespreconditioningparallel computationincomplete Cholesky factorizationfinite differential methodsymmetric positive definite systemiterative conjugate gradient methods

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Iterative numerical methods for linear systems (65F10) Numerical computation of matrix norms, conditioning, scaling (65F35) Parallel numerical computation (65Y05) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Finite difference methods for boundary value problems involving PDEs (65N06)

Uses Software

• symrcm

Cites Work

• On parallelism and convergence of incomplete LU factorizations
• On the eigenvalue distribution of a class of preconditioning methods
• The incomplete Cholesky-conjugate gradient method for the iterative solution of systems of linear equations
• The effect of ordering on preconditioned conjugate gradients
• A class of first order factorization methods
• DRIC: A dynamic version of the RIC method
• Parallel approximate factorization method for solving discrete elliptic equations
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