Overlapping Schwarz preconditioners for spectral element discretizations of convection-diffusion problems

International Journal for Numerical Methods in Engineering

Volumn 53, Issue 5, 2002, Pages 1005-1023

  Pavarino, L F ^a  

^a UNIVERSITY OF MILAN   (Italy)

Author keywords

Convection diffusion problems; Domain decomposition preconditioners; Overlapping Schwarz methods; Stabilized spectral elements

Indexed keywords

ALGORITHMS; DIFFUSION; ITERATIVE METHODS; LINEAR EQUATIONS; NUMERICAL METHODS; PROBLEM SOLVING;

SPECTRAL ELEMENT DISCRETIZATIONS;

HEAT CONVECTION;

DIFFUSION-CONVECTION THEORY; MATHEMATICAL METHOD;

EID: 0037138421     PISSN: 00295981     EISSN: None     Source Type: Journal    
DOI: 10.1002/nme.327     Document Type: Article

References (27)

1. Domain decomposition algorithms for indefinite elliptic problems
2. Multiplicative Schwarz algorithms for some nonsymmetric and indefinite problems
3. A comparison of some domain decomposition and ILU preconditioned iterative methods for nonsymmetric elliptic problems
4. Adaptive domain decomposition methods for advection-diffusion problems
5. Coercive domain decomposition algorithms for advection-diffusion equations and systems
6. A domain decomposition preconditioner for an advection-diffusion problem
7. FETI domain decomposition methods for scalar advection-diffusion problems
8. Iterative methods for stabilized discrete convection-diffusion problems
9. Effective spectral approximation of convection-diffusion equations
10. Stabilization of spectral methods by finite element bubble functions
11. Bubble stabilization of spectral Legendre methods for the advection-diffusion equation
12. Stabilized spectral methods for the Navier-Stokes equations: Residual- free bubbles and preconditioning
13. A new scheme for the approximation of advection-diffusion equations by collocation
14. Stabilized spectral element approximation for the Navier-Stokes equations
15. Stabilized hp-finite element approximation of partial differential equations with non-negative characteristic form
16. Domain decomposition algorithms with small overlap
17. Spectral methods
18. GMRES: A generalized minimal residual algorithm for solving non-symmetric linear systems
19. Quasi-optimal Schwarz methods for the conforming spectral element discretization
20. Additive Schwarz methods for the p-version finite element method