Peaceman—Rachford procedure and domain decomposition for finite element problems

Numerical Linear Algebra with Applications

Volumn 2, Issue 4, 1995, Pages 363-393

  Layton, William J ^a   Rabier, Patrick J ^a  

^a UNIVERSITY OF PITTSBURGH   (United States)

Author keywords

domain decomposition; nonconforming finite element spaces; parallel processing; Peaceman Rachford procedure

Indexed keywords

EID: 84985423261     PISSN: 10705325     EISSN: 10991506     Source Type: Journal    
DOI: 10.1002/nla.1680020405     Document Type: Article

References (26)

1. A generalized conjugate gradient, least square method
2. Parallel‐vector computation with high degree element by element method. Third International Symposium on Domain Decomposition Methods for Partial Differential Equations
3. Convergence rate estimate for a domain decomposition method
4. Conforming and nonconforming finite element methods for solving the stationary Stokes equations I
5. On convergence of alternating direction procedures in the presence of singular operators
6. On a method of solving the Poisson equation
7. A. D. I. iteration for systems with complex spectra
8. Symmetric hyperbolic linear differential equations
9. Symmetric positive linear differential equations
10. Preconditioning technique based on element matrix factorizations
11. Element‐by‐element solution algorithm for problems of structural and solid mechanics
12. Data structures and algorithms for the finite element method on a data‐parallel supercomputer
13. An alternating direction method for operator equations
14. Parallel algorithms for monotone operators of local type
15. Domain decomposition via operator splitting for nonsymmetric problems
16. Splitting and alternating direction methods
17. The numerical solution of parabolic and elliptic differential equations
18. CGS, a fast Lanczos‐solver for non‐symmetric linear systems
19. A. D. I. parameters for nonsymmetric systems of linear equations