Auxiliary space AMG for H(curl) Problems

Lecture Notes in Computational Science and Engineering

Volumn 60, Issue , 2008, Pages 147-154

  Kolev, Tzanio V ^a   Vassilevski, Panayot S ^a  

^a LAWRENCE LIVERMORE NATIONAL LABORATORY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 70249096845     PISSN: 14397358     EISSN: None     Source Type: Book Series    
DOI: 10.1007/978-3-540-75199-1_13     Document Type: Conference Paper

References (11)

1. P.B. Bochev, C.J. Garasi, J.J. Hu, A.C. Robinson, and R.S. Tuminaro. An improved algebraic multigrid method for solving Maxwell's equations. SIAM J. Sci. Comput., 25(2):623-642, 2003.
2. V.E. Henson and U.M. Yang. BoomerAMG: a parallel algebraic multigrid solver and preconditioner. Appl. Numer. Math., 41(1):155-177, 2002.
3. R. Hiptmair. Multigrid method forMaxwell's equations. SIAM J. Numer. Anal., 36(1):204-225, 1999.
4. 0(curl; ω). Numer. Math., 103(3):435-459, 2006.
5. R. Hiptmair and J. Xu. Nodal auxiliary space preconditioning in H(curl) and H(div) spaces. Technical Report 2006-09, ETH, Switzerland, 2006.
6. J. Jones and B. Lee. A multigrid method for variable coefficient Maxwell's equations. SIAM J. Sci. Comput., 27(5):1689-1708, 2006.
7. Tz.V. Kolev, J.E. Pasciak, and P.S. Vassilevski. H(curl) auxiliary mesh reconditioning, 2006. In preparation.
8. 1-based auxiliary space AMG solver for H(curl) problems. Technical Report UCRL-TR-222763, LLNL, 2006.
9. 1-based auxiliary space AMG for H(curl) problems. Technical Report UCRLTR-221841, LLNL, 2006.
10. S. Reitzinger and J. Schöberl. An algebraic multigrid method for finite element discretizations with edge elements. Numer. Linear Algebra Appl., 9(3):223-238, 2002.
11. J. Xu. The auxiliary space method and optimal multigrid preconditioning techniques for unstructured grids. Computing, 56(3):215-235, 1996.