Preconditioning Singularity Perturbed Elliptic and Parabolic Problems

DOI10.1137/0728072zbMath0741.65089OpenAlexW2030471585MaRDI QIDQ3982653

Charles I. Goldstein

Publication date: 26 June 1992

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0728072

zbMATH Keywords

stabilitynumerical resultsfinite elementmultigrid iterationconvection-diffusion equationsHelmholtz problemscondition number estimatespreconditiner

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) General theory of numerical analysis in abstract spaces (65J05) Boundary value problems for second-order elliptic equations (35J25) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Iterative numerical methods for linear systems (65F10) Numerical computation of matrix norms, conditioning, scaling (65F35)

Related Items

Preconditioning convection dominated convection‐diffusion problems, A FINITE ELEMENT CODE FOR THE NUMERICAL SOLUTION OF THE HELMHOLTZ EQUATION IN AXIALLY SYMMETRIC WAVEGUIDES WITH INTERFACES, Singularly perturbed problems in partial differential equations: A survey