Wave-ray multigrid method for standing wave equations

Electronic Transactions on Numerical Analysis

Volumn 6, Issue , 1997, Pages 162-181

  Brandt, A ^a   Livshits, I ^a  

^a WEIZMANN INSTITUTE OF SCIENCE   (Israel)

Author keywords

Helmholtz equations; Multigrid methods; Radiation boundary conditions; Wave ray approach

Indexed keywords

EID: 0000657234     PISSN: 10689613     EISSN: 10689613     Source Type: Journal    
DOI: None     Document Type: Article

References (7)

1. A. BRANDT, Multi-level adaptive solutions to boundary value problems, Math. Comp., 31(1977), pp. 333-390.
2. -, Stages in Developing Multigrid Solutions, in Proc. 2nd Int. Congr. on Numerical methods for Engineers, Dunod, Paris, E. Absi, R. Glowinsky, P. Lascaux, and M. Veysserge, eds., 1980, pp.23-43.
3. -, Guide to multigrid development, in Multigrid Methods, Lecture Notes in Math, 960, W. Hackbusch W. and U. Trottenberg, eds., Springer-Verlag, 1982, pp. 220-312.
4. -, Multigrid Techniques: 1984 Guide with applications to fluid dynamics, Monograph, GMD-Studie 85, GMD-FIT, Postfach 1240, D-5205, St. Augustin l, W. Germany, 1985 (unpublished). (Also available from Secretary, Department of Mathematics, University of Colorado at Denver, Colorado 80204-5300.)
5. A. BRANDT AND S.TA'AS AN, Multigrid Methods for Nearly Singular and Slightly Indefinite Problems, In Multigrid Methods II, Proceedings, Cologne, 1985, Lecture Notes in Mathematics 1228, W. Hackbusch and U. Trottenberg, eds, Springer-Verlag, pp. 100-122.
6. I. LlVSHITS, Multigrid Solvers for Wave Equations, Ph. D. Thesis, Bar-Ilan University, Ramat-Gan, Israel, 1996.
7. S. TAASAN, Multigrid Methods for Highly Oscillatory Problems, Ph. D. Thesis, The Weizmann Institute of Science, Rehovot, Israel, 1984.