Preconditioned iterative methods for convection diffusion and related boundary value problems

DOI10.1016/0898-1221(90)90261-HzbMath0694.65051MaRDI QIDQ909421

Charles I. Goldstein

Publication date: 1990

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

zbMATH Keywords

numerical experimentsfinite elementcondition numbermultigrid methodsnormal equationspreconditioned conjugate gradient methodFinite differenceconvection diffusionsecond order elliptic problems

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) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

Related Items (1)

A brief survey on numerical methods for solving singularly perturbed problems

Cites Work

• Preconditioning strategies for models of incompressible flow
• The numerical solution of the Helmholtz equation for wave propagation problems in underwater acoustics
• On the numerical solution of a nonlinear stochastic Helmholtz equation with a multigrid preconditioner
• On the norm equivalence of singularly perturbed elliptic difference operators
• Numerical solution of nonlinear elliptic partial differential equations by a generalized conjugate gradient method
• Iterative methods for the solution of a linear operator equation in Hilbert space. A survey
• Sharp Estimates for Multigrid Rates of Convergence with General Smoothing and Acceleration
• Preconditioning by Fast Direct Methods for Nonself-Adjoint Nonseparable Elliptic Equations
• Crosswind Smear and Pointwise Errors in Streamline Diffusion Finite Element Methods
• New Convergence Estimates for Multigrid Algorithms
• An Optimal Order Process for Solving Finite Element Equations
• Multi-Level Adaptive Solutions to Boundary-Value Problems
• A Lanczos Method for a Class of Nonsymmetric Systems of Linear Equations
• Analysis and Application of Multigrid Preconditioners for Singularly Perturbed Boundary Value Problems
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