This work was partly supported by the Grant T043258 of the Hungarian National Research Found and the CBC award 2002/000-317-02-20.
Section 21
You have free access to this content
On the Non-Hierarchical Preconditioner Constructions†
Article first published online: 27 DEC 2004
DOI: 10.1002/pamm.200410302
Copyright © 2004 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim
Additional Information
How to Cite
Kiss, B. (2004), On the Non-Hierarchical Preconditioner Constructions. Proc. Appl. Math. Mech., 4: 642–643. doi: 10.1002/pamm.200410302
- †
Publication History
- Issue published online: 27 DEC 2004
- Article first published online: 27 DEC 2004
References
- [1], , Numerical Methods for Grid Equations (Bikhäuser, Basel, 1989).
- [2], , , A Tutorial on Elliptic PDE Solvers and Their Parallelisation (SIAM, 2003).
- [3], , , The Construction of Preconditioners for Elliptic Problems by Substructuring I-IV., Math. of Comp. 47 (175, 103–134 (1986), 49 (184, 1–16, (1987) 51 (184, 415–430, (1988) 53 (187, 1–24 (1989).
- [4], A Finite Element Capacitance Method For Elliptic Problems on Region Partitioned into Subregions, Numer. Math. 44, 153–168 (1984).
- [5], , The Construction of Some Efficient Preconditioners in Boundary Element Methods, Adv. Comput. Math. 9, 191–216 (1998).
- [6], , Spectrally Equivalent Preconditioners for Boundary Equations in Substructuring Techniques, East-West J. Numer. Math. 1, 1–27 (1993).
- [7], , , A Domain Decomposition Preconditioner Based on a Change to a Multilevel Nodal Basis, SIAM J. Sci. Stat. Comput. 12, 1486–1495 (1991).
- [8], Multilevel Finite Element Approximation, Theory and Application (B.G. Teubner, Stuttgart, 1994).
- [9], , , Introduction to Hierarchical Matrices with Applications, Max-Planck-Institute, Preprint no. 18 (Leipzig, 2002).
- [10], , Toeplitz Matrix Representation of the H1/2 Norm, Periodica Math. Hungarica, 34 (3, 201–210 (1998).
- [11], , On the Schur Complement Preconditioners, Computers & Structures, 73 (1-5, 537–544 (1999).
- [12], , Domain Decomposition Method for Three-Dimensional Frictional Contact Problem, PAMM, Proc. Appl. Math. Mech. 2, 242–243 (2003).Direct Link:
- [13], The Optimal Design of Extrusion by the Finite Element Method, PAMM, Proc. Appl. Math. Mech. 3, 242–243 (2004).
- [14], A Sparse Matrix Arithmetic Based on H-matrices, Part I: Introduction to H-matrices, Computing, 62, 89–108 (1999).
- [15], , A Sparse Matrix Arithmetic Based on H-matrices, Part II: Application to Multidimensional Problems, Computing, 64, 21–47 (2000).

1617-7061/asset/2130_left.gif?v=1&s=31d9c7dbbe937e9e4955a0f5ae18213dd9a41f7b)
1617-7061/asset/cover.gif?v=1&s=79b6ccfe3470758033c99b476335ce58b5a38819)