UG - A flexible software toolbox for solving partial differential equations

Computing and Visualization in Science

Volumn 1, Issue 1, 1997, Pages 27-40

  Bastian, P ^a   Birken, K ^a   Johannsen, K ^a   Lang, S ^a   Neuss N ^a   Rentz Reichert, H ^a   Wieners, C ^a  

^a UNIVERSITY OF STUTTGART   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

PARTIAL DIFFERENTIAL EQUATIONS; TECHNOLOGY TRANSFER;

ADAPTIVE REFINEMENT; ENGINEERING APPLICATIONS; FLEXIBLE DATA LAYOUTS; INNOVATIVE TECHNIQUES; LOCAL GRID REFINEMENT; NUMERICAL SOLUTION OF PARTIAL DIFFERENTIAL EQUATIONS; PARALLELIZATION TECHNIQUES; THREE SPACE DIMENSIONS;

CODES (SYMBOLS);

EID: 69949101897     PISSN: 14329360     EISSN: 14330369     Source Type: Journal    
DOI: 10.1007/s007910050003     Document Type: Article

References (27)

1. Aziz, K., Settari, A.: Petroleum Reservoir Simulation. Elsevier, 1979
2. R. Bank: PLTMG Users Guide Version 7.0, SIAM, 1994
3. R. Bank, T. Dupont, H. Yserentant: The Hierarchical Basis Multigrid Method, Numer. Math. 52 (1988) 427-458
4. P. Bastian: Parallele adaptive Mehrgitterverfahren. Teubner Skripten zur Numerik, Stuttgart: Teubner-Verlag, 1996
5. P. Bastian, G. Wittum: On robust and adaptive multigrid methods. In: P. Hemker, P. Wesseling (eds.): Multigrid Methods IV. ISNM, Basel: Birkhäuser, 1994
6. J. Bey: Tetrahedral grid refinement. Computing 55 (1995) 355-378
7. K. Birken: Dynamic Distributed Data in a Parallel Programming Environment - DDD Reference Manual. Forschungs- und Entwicklungsberichte RUS-23, Rechenzentrum der Universität Stuttgart, 1994
8. K. Birken, P. Bastian: Dynamic Distributed Data (DDD) in a parallel programming environment - specification and functionality. Forschungs- und Entwicklungsberichte RUS-22, Rechenzentrum der Universität Stuttgart, 1994
9. J. H. Bramble, J. E. Pasciak, J. Wang, J. Xu: Convergence estimates for multigrid algorithms without regularity assumptions, Math. Comp. 57 (1991) 23-45
10. J. H. Bramble, J. E. Pasciak, J. Xu: Parallel Multigrid Preconditioners. Math. Comp. 55 (1990) 1-22
11. P. Deuflhard, P. Leinen, H. Yserentant: Concepts of an Adaptive Hierarchical Finite Element Code. IMPACT of Computing in Science and Engineering, 1 (1989) 3-35
12. H.-J. Diersch: FEFLOW User's Manual Version 4.2., tech. rep. WASY GmbH, Berlin, 1994
13. E. Frind, J. Molson: SALTFLOW 2.0 User's guide. Waterloo Centre for Groundwater Research, Canada, 1994
14. W. Hackbusch: Multi-Grid Methods and Applications. Berlin- Heidelberg-New York: Springer, 1985
15. B. Hendrickson, R. Leland: The chaco user's guide version 1.0. Tech. Rep. SAND93-2339, Sandia National Laboratory, 1993
16. E. H. Hirschel (ed.): Flow Simulation with High-Performance Compters II. Braunschweig: Vieweg, 1996
17. S. Lang: Lastverteilung für paralle adaptive Mehrgitterberechnungen. Universität Erlangen-Nürnberg, IMMD III, 1994
18. S. Lang: Adaptive refinement and derefinement of unstructured grid hierarchies. Tech. rep., Universität Stuttgart, Institute for Computer Applications, 1997. In preparation
19. J. M. Maubach: Local bisection refinement for N-simplicial grids generated by reflection. SIAM J. Sci. Comput. 16 (1995) 210-227
20. D. J. Mavripilis: Three-dimensional multigrid reynolds-averaged navier-stokes solver for unstructured meshes. AIAA Journal, 33 (1995)
21. L. C. McInnes, B. Smith: PETSc2.0: A case study of using MPI to develop numerical software libraries. In Proc. of the MPI Developers Conference, Notre Dame, IN, 1995
22. M. Raw: A coupled algebraic multigrid solver for the 3D navier-stokes equations. In Proc. of the 10th GAMM Seminar Kiel, Notes on Numerical Fluid Mechanics, W. Hackbusch, G. Wittum (eds.) vol. 49, Braunschweig: Vieweg
23. J. Schöberl: Analysis and realisation of mixed finite element models in computational mechanics. Master's thesis, Universität Linz, 1995
24. G. Ségol: Classic Groundwater Simulations. Englewood Cliffs, NJ: Prentice Hall, 1994
25. C. Wieners: The implementation of adaptive multigrid methods for finite elements. Universität Stuttgart, SFB404 Preprint 97/12, 1997
26. G. Wittum: Multigrid methods for Stokes- and Navier-Stokes equations. Numer. Math., 54 (1989) 543-563
27. H. Yserentant: Über die Ausspaltung von Finite-Element-Raümen in Teilräume verschiedener Verfeinerungsstufen. Habilitationsschrift, 1984