A multilevel algorithm for the solution of second order elliptic differential equations on sparse grids

Numerische Mathematik

Volumn 79, Issue 1, 1998, Pages 141-155

  Pflaum, Christoph ^a  

^a NONE

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0032396732     PISSN: 0029599X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002110050334     Document Type: Article

References (13)

1. Balder, R., Zenger, C. (1992): The d-dimensional Helmholtz equation on sparse grids. SFB-Report 342/21/92 A, Technische Universität München
2. Bungartz, H.-J. (1992): Dünne Gitter und deren Anwendung bei der adaptiven Lösung der dreidimensionalen Poisson-Gleichung. Dissertation, Technische Universität München
3. Dornseifer, T., Pflaum, C. (1996): Discretization of Elliptic Differential Equations on Curvilinear Bounded Domains with Sparse Grids. Computing, 56(3):197-213
4. Griebel, M., Oswald, P. (1994): On additive Schwarz preconditioners for sparse grid discretizations. Numer. Math., 66:449-463
5. Hackbusch, W. (1992): Elliptic Differential Equations. Springer Series in Computational Mathematics Vol.18. Springer
6. Hemker, P.W. (1995): Sparse-grid finite-volume multigrid for 3D-problems. Advances in Computational Mathematics, 4:83-110
7. McCormick, S. (1992): Multilevel Projection Methods for Partial Differential Equations, volume 62 of CBMS-NSF Regional Conference Series in Applied Mathematics. SIAM, Philadelphia
8. Mulder, W. (1989): A new multigrid approach to convection problems. J. Comput. Phys., 83:303-323
9. Naik, N.H., Van Rosendale, J. (1993): The improved robustness of multigrid elliptic solvers based on multible semicoarsening grids. SIAM J. Numer. Anal., 30(1):215-229
10. Pflaum, C. (1994): Discretization of Second Order Elliptic Differential Equations on Sparse Grids. In C. Bandle, J. Bemelmans, M. Chipot, J. Saint Jean Paulin, and I. Shafrir, editors, Progress in partial differential equations, Pont-á-Mousson 1994, vol. 2, calculus of variations, applications and computations, Pitman Research Notes in Mathematics Series. Longman
11. Pflaum, C. (1995): Diskretisierung elliptischer Differentialgleichungen mit dünnen Gittern. Dissertation, Technische Universität München
12. Pflaum, C., Rüde, U. (1994): Gauss Adaptive Relaxation for the Multilevel Solution of Partial Differential Equations on Sparse Grids. Journal of Computing and Information, 4. Proceedings of the 2nd Gauss Symposium, International Conference, C. Computing and Information, Munich, Germany, 1993.
13. Zenger, C. (1991): Sparse grids. In W. Hackbusch, editor, Parallel Algorithms for Partial Differential Equations: Proceedings of the Sixth GAMM-Seminar. Kiel, January 1990, volume 31 of Notes on Numerical Fluid Mechanics. Vieweg, Braunschweig