A 3-D Poisson solver based on conjugate gradients compared to standard iterative methods and its performance on vector computers
DOI10.1016/0021-9991(87)90067-2zbMath0619.65087OpenAlexW1982401321MaRDI QIDQ1089763
Publication date: 1987
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0021-9991(87)90067-2
preconditioningconjugate gradient methodHelmholtz equationPoisson equationvector computerincomplete Crout algorithmred-black successive overrelaxation
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) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)
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Cites Work
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- Multi-grid solution of three-dimensional problems with discontinuous coefficients
- Incomplete factorization methods for three-dimensional non-symmetric problems
- Conjugate gradient type methods for unsymmetric and inconsistent systems of linear equations
- An efficient preconditioning scheme for iterative numerical solutions of partial differential equations
- Generalized conjugate-gradient acceleration of nonsymmetrizable iterative methods
- Iterative solution methods for certain sparse linear systems with a non- symmetric matrix arising from PDE-problems
- The incomplete Cholesky-conjugate gradient method for the iterative solution of systems of linear equations
- Direct solutions for Poisson's equation in three dimensions
- Numerical solution of nonlinear elliptic partial differential equations by a generalized conjugate gradient method
- Comparison of Fast Iterative Methods for Symmetric Systems
- An Iterative Solution Method for Linear Systems of Which the Coefficient Matrix is a Symmetric M-Matrix
- A class of first order factorization methods
- An Approximate Factorization Procedure for Solving Self-Adjoint Elliptic Difference Equations
- The Use of Conjugate Gradients for Systems of Linear Equations Possessing “Property A”
- Methods of conjugate gradients for solving linear systems