The all-floating BETI method considers all subdomains as floating subdomains and improves the overall asymptotic complexity of the BETI method. This effect and the scalability of the method are shown in numerical examples.
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S. C. Brenner. An additive Schwarz preconditioner for the FETI method. Numer. Math., 94(1):1–31, 2003.
Z. Dostál, D. Horák, and R. Kučera. Total FETI - an easier implementable variant of the FETI method for numerical solution of elliptic PDE. Comm. Numer. Methods Engrg., 22(12):1155–1162, 2006.
C. Farhat, M. Lesoinne, and K. Pierson. A scalable dual-primal domain decomposition method. Numer. Linear Algebra Appl., 7(7–8):687–714, 2000.
C. Farhat and F.-X. Roux. A method of finite element tearing and interconnecting and its parallel solution algorithm. Int. J. Numer. Methods Eng., 32(6):1205–1227, 1991.
L. Greengard and V. Rokhlin. A fast algorithm for particle simulations. J. Comput. Phys., 73:325–348, 1987.
A. Klawonn and O. B. Widlund. FETI and Neumann-Neumann iterative substructuring methods: Connections and new results. Commun. Pure Appl. Math., 54(1):57–90, 2001.
A. Klawonn and O. B. Widlund. Dual-Primal FETI methods for linear elasticity. Comm. Pure Appl. Math., 59:1523–1572, 2006.
U. Langer, G. Of, O. Steinbach, and W. Zulehner. Inexact data–sparse boundary element tearing and interconnecting methods. SIAM J. Sci. Comput., 29(1):290–314, 2007.
U. Langer and O. Steinbach. Boundary element tearing and interconnecting methods. Computing, 71(3):205–228, 2003.
W. McLean and O. Steinbach. Boundary element preconditioners for a hypersingular integral equation on an interval. Adv. Comput. Math., 11(4):271–286, 1999.
G. Of. BETI–Gebietszerlegungsmethoden mit schnellen Randelementverfahren und Anwendungen. PhD thesis, Universität Stuttgart, 2006.
G. Of, O. Steinbach, and W. L. Wendland. The fast multipole method for the symmetric boundary integral formulation. IMA J. Numer. Anal., 26:272–296, 2006.
O. Steinbach. Numerische Näherungsverfahren für elliptische Randwertprobleme. Finite Elemente und Randelemente. B.G. Teubner, Stuttgart, Leipzig, Wiesbaden, 2003.
O. Steinbach and W. L. Wendland. The construction of some efficient preconditioners in the boundary element method. Adv. Comput. Math., 9(1-2):191–216, 1998.
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Of, G. (2008). The All-floating BETI Method: Numerical Results. In: Langer, U., Discacciati, M., Keyes, D.E., Widlund, O.B., Zulehner, W. (eds) Domain Decomposition Methods in Science and Engineering XVII. Lecture Notes in Computational Science and Engineering, vol 60. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-75199-1_34
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