Algebraic multigrid methods based on element preconditioning

References

• Bank , R.E. and Dupont , T.F. May 1980 . Analysis of a two-level scheme for solving finite element equations , May , Austin : University of Texas . Report CNA-159, Center for Numerical Analysis
   Google Scholar
• Braess , D. 1995 . Towards algebraic multigrid for elliptic problems of second order . Computing , 55 May : 379 – 393 .
   Web of Science ®Google Scholar
• Brandt , A. 1986 . Algebraic Multigrid theory: The Symmetric Case . Appl. Math. Comput , 19 May : 23 – 56 .
   Web of Science ®Google Scholar
• Brandt , A. , Mccormick , S. and Ruge , J.W. 1982 . Algebraic Multigrid (AMG) for automatic multigrid solution with application to geodetic computations , Studies Colorado State Univ . Report, Inst. Comp
   Google Scholar
• Brandt , A. , Mccormick , S. and Ruge , J.W. 1984 . “ Algebraic Multigrid (AMG) for sparse matrix equations ” . In Sparsity and its Application Edited by: Evans , D.J. 257 – 284 .
   Google Scholar
• Grauschopf , T. , Griebel , M. and Regler , H. 1996 . Additive Multilevel Preconditioners based on Bilinear Interpolation, matrix dependent geometric coarsening and algebraic multigrid coarsening for second order elliptic PDEs , Technische Universität München . SFB Bericht 342/02/96 A, Institut für Informatik
   Google Scholar
• Haase , G. 2000 . A parallel AMG for overlapping and non-overlapping domain decomposition . Electronic Transactions on Numerical Analysis {ETNA) , 10 : 41 – 55 .
   Google Scholar
• Haase , G. and Langer , U. 1992 . The non-overlapping domain decomposition multiplicative Schwarz method . Inter, J. Computer Math , 44 : 223 – 242 .
   Web of Science ®Google Scholar
• Hackbusch , W. 1985 . Multigrid methods and application , Berlin : Springer Verlag . Heidelberg, New York
   Google Scholar
• Hackbusch , W. 1991 . Iterative Lösung groβer schwachbesetzter Gleichungssysteme , Stuttgart : B.G. Teubner .
   Google Scholar
• Jung , M. and Langer , U. 1991 . Applications of Multilevel Methods to Practical Problems . Surveys Math. Indust , 1 : 217 – 257 .
   Google Scholar
• Langer , U. , Meyer , A. , Queck , W. and Schneider , M. 1989 . Multigrid preconditioners and their application . Proceedings of the 3rd GDR Multigrid Seminar held at Biesenthal . Jung 1989 . May . pp. 11 – 52 . Karl-Weierstraβ-Institut für Mathematik .
   Google Scholar
• Kaltenbacher , M. and Reitzinger , S. 2000 . “ Algebraic multigrid for solving electromechanical problems ” . In Multigrid Methods VI , Edited by: Dick , E. , Rienslagh , K. and Vierendeels , J. Vol. 14 , 129 – 135 . Springer Lecture Notes in Computational Science and Engineering .
   Google Scholar
• Kaltenbacher M. Reitzinger S. Algebraic multigrid for static nonlinear 3D electromagnetic field compuations 2000 Tech. Report 00-07, SFB F013,submitted
   Google Scholar
• Kickinger , F. Algebraic multigrid for discrete elliptic second-order problems . Multigrid Methos F, Proceedings of the 5th European Multigrid conference . Edited by: Hackbusch , W. Vol. 3 , pp. 157 – 172 . Berlin : Springer Lecture Notes Comput. Sci. Eng .
   Google Scholar
• Kuhn , M. , Langer , U. and SchöBerl , J. 2000 . “ Scientific computing tools for 3D magnetic fiels problems ” . In The Mathematics of Finite Elements and Applications X , Edited by: Whiteman , J.R. 239 – 258 . Elsevier .
   Google Scholar
• Lerch R. Landes H. Kaltenbacher M. 1999 www.lse.e- technik.uni-erlangen.de/CAPA/index.htmCAPA Users Guide
   Google Scholar
• Meurant , G. 1990 . “ Computer Solution of large linear systems ” . In Studies in Mathematics and its Applications , Vol. 28 , Elsevier .
   Google Scholar
• Reitzinger S. 1999 www.sfl3013.uni-linz.ac.atPEBBLES - Users Guide, Special research program SFB FOI3
   Google Scholar
• Ruge , J.W. and StüBen , K. 1985 . “ Efficient solution of finite difference and finite element equations ” . In Multigrid Methods for integral and differential equations , Edited by: Paddon , D. and Holstein , H. Vol. 3 , 169 – 212 . Oxford : Clarendon Press .
   Google Scholar
• Ruge , J.W. and StüBen , K. 1986 . “ Algebraic Multigrid (AMG), Multigrid Methods ” . In Frontiers in Applied Mathematics , Edited by: McCormick , S. Vol. 5 , 73 – 130 . Philadelphia : SIAM .
   Google Scholar
• Schittkowski , K. 1981 . The Nonlinear Programming Method of Wilson, Han and Powell with an augmented Lagrangian type line search function. Part 1: Convergence analysis . Numer.Math , 38 : 83 – 114 .
   Web of Science ®Google Scholar
• Vanek , P. , Mandel , J. and Brezina , M. 1996 . Algebraic multigrid by smoothed aggregation for second and fourth order elliptic problems . Computing , 56 : 179 – 196 .
   Web of Science ®Google Scholar