Projection Techniques embedded in the PCGM for handling Hanging Nodes and Boundary Restrictions

Engineering Computational Technology

Volumn , Issue , 2002, Pages 147-165

  Meyer, A ^a  

^a CHEMNITZ UNIVERSITY OF TECHNOLOGY   (Germany)

Author keywords

Adaptive meshes; Conjugate gradients; Finite elements; Linear equation solver

Indexed keywords

BOUNDARY CONDITIONS; FINITE ELEMENT METHOD; GRADIENT METHODS; LINEAR EQUATIONS;

FINITE ELEMENT MESHES;

LINEAR SYSTEMS;

EID: 0141727221     PISSN: None     EISSN: None     Source Type: Book    
DOI: None     Document Type: Conference Paper

References (14)

1. M. Ainsworth, J. Oden, "A Posteriori Error Estimation in Finite Element Analysis", Comp. Meth. Appl. Mech. Eng., 142, 1-2, 1-88, 1997.
2. O.Axelsson, I.Gustafsson, "Preconditioning and Two-level Multigrid Methods of Arbitrary Degree of Approximation", Math. Comp., 40, 219-242, 1983.
3. J. H. Bramble, J. E. Pasciak, A. H. Schatz, "The Construction of Preconditioned for Elliptic Problems by Substructuring I - IV", Mathematics of Computation, 47, 103-134, 1986, 49, 1-16, 1987, 51, 415-430, 1988 and 53, 1-24, 1989.
4. I. H. Bramble, J. E. Pasciak, J. Xu, "Parallel Multilevel Preconditioned", Math. Comp., 55, 191, 1-22, 1990.
5. M.R.Hestenes, E.Stiefel, "Methods of Conjugate Gradients for Solving Linear Systems", J. Res. Nat. Bur. Stand., 49, 409-436, 1952.
6. M. Jung and J. F. Maitre, "Some Remarks on the Constant in the Strengthened C.B.S. Inequality: Estimate for Hierarchical Finite Element Discretizations of Elasticity Problems", Num. Meth. for Part. Diff. Equ., 15, 4, 469-488, 1999.
7. A. Meyer, "A Parallel Preconditioned Conjugate Gradient Method Using Domain Decomposition and Inexact Solvers on Each Subdomain", Computing, 45, 217-234, 1990.
8. S. Nepomnyaschikh, "Ficticious Space Method on Unstructured Meshes", East-West J. Num. Math., 3(1), 71-79, 1990.
9. P.Oswald, "Multilevel Finite Element Approximation: Theory and Applications", Teubner Skripten zur Numerik, B.G.Teubner Stuttgart 1994.
10. J.Schöberl, "Solving the Signorini problem on the basis of domain decomposition techniques", Computing, 60, 323-344, 1993.
11. A. Signorini, "Sopra akune questioni di elastistatica", Attil della Societa Italiana per il Progresse delle Scienzie, 1993.
12. R. Verfürth, "A Review of a posteriori Error Estimation and Adaptive Mesh Refinement Techniques", Wiley-Teubner, Chichester, Stuttgart, 1996.
13. J. Xu, "Iterative Methods by Space Decomposition and Subspace Correction", SIAM Rev., 34, 4, 163-184, 1992.
14. H. Yserentant, "Two Preconditioners Based on the Multilevel Splitting of Finite Element Spaces", Numer. Math., 58, 163-184, 1990.