FETI-DP

FETI-DP

The FETI-DP method is a domain decomposition method by Charbel Farhat and others, C. Farhat, M. Lesoinne, P. LeTallec, K. Pierson, and D. Rixen, "FETI-DP: a dual-primal unified FETI method. I. A faster alternative to the two-level FETI method", Internat. J. Numer. Methods Engrg., 50 (2001), pp. 1523--1544.

] which enforces equality of the solution at subdomain interfaces by Lagrange multipliers except at subdomain corners, which remain primal variables.The first mathematical analysis of the method was provided by Mandel and Tezaur J. Mandel and R. Tezaur, "On the convergence of a dual-primal substructuring method", Numerische Mathematik, 88 (2001), pp. 543--558.] . The method was further improved by enforcing the equality of averages across the edges or faces on subdomain interfaces C. Farhat, M. Lesoinne, and K. Pierson, "A scalable dual-primal domain decomposition method", Numer. Linear Algebra Appl., 7 (2000), pp. 687--714. Preconditioning techniques for large sparse matrix problems in industrial applications (Minneapolis, MN, 1999).

] A. Klawonn, O. B. Widlund, and M. Dryja, "Dual-primal FETI methods for three-dimensional elliptic problems with heterogeneous coefficients", SIAM J. Numer. Anal., 40 (2002), pp. 159--179.

] which is important for parallel scalability for 3D problems. FETI-DP is a simplification and a better performing version of FETI. The eigenvalues of FETI-DP are same as those of BDDC, except for the eigenvalue equal to one, and so the performance of FETI-DP and BDDC is essentially same. J. Mandel, C. R. Dohrmann, and R. Tezaur, "An algebraic theory for primal and dual substructuring methods by constraints", Appl. Numer. Math., 54 (2005), pp. 167--193.

]

References

ee also

*BDDC
*FETI


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  • FETI (D.) — FETI DOMENICO (1589 env. 1624) Élève de Cigoli, initié à Rome au naturalisme des Caravagesques, Domenico Feti dut à la faveur du cardinal Frédéric de Gonzague d’être appelé à Mantoue en 1613 comme peintre de la cour. Dans la galerie ducale, il… …   Encyclopédie Universelle

  • feti- — [fēt′ō, fēt′əfēt′i, fēt′ə] combining form fetus [fetiparous]: also prefix combining form feto [fēt′ō, fēt′ə] * * * feti pref. Variant of feto . * * * …   Universalium

  • feti — FETÍ, fetesc, vb. IV. intranz. (pop.) A petrece ca fată timpul de când iese la horă până când se mărită. – Din fată. Trimis de LauraGellner, 13.09.2007. Sursa: DEX 98  fetí vb., ind. prez. 1 sg. şi 3 pl. fetésc …   Dicționar Român

  • Feti — Feti, Dominico, mit dem Beinamen Mantuano, geb. 1589 in Rom, Historienmaler, bildete sich unter Cigoli, begleitete seinen Gönner, den Cardinal Gonzaga, nach Mantua, wo er bes. Giulio Romano studirte. Colorit kräftig, mit dunkeln Schatten; er st.… …   Pierer's Universal-Lexikon

  • Feti — Feti, Domenico, ital. Maler, geb. 1589 in Rom, gest. 1624 in Venedig, studierte bei Cigoli und begab sich dann auf Veranlassung des Herzogs Ferdinand Gonzaga nach Mantua, wo seine Hauptwerke entstanden, daher Mantuano genannt. F. war ein Natural… …   Meyers Großes Konversations-Lexikon

  • Feti — Feti, Domenico, ital. Maler, geb. 1589 in Rom, gest. 1624 in Venedig; genreartig aufgefaßte religiöse Stoffe. Viele Werke in Dresden (8 Gleichnisse Christi) und Wien …   Kleines Konversations-Lexikon

  • Feti — Feti,   Domenico, italienischer Maler, Fetti, Domenico.   …   Universal-Lexikon

  • feţi — feţí, feţésc, vb. IV (reg.) 1. a colora, a vopsi; a sulemeni. 2. a ciopli lemnul din pădure în două sau patru feţe. Trimis de blaurb, 09.05.2006. Sursa: DAR …   Dicționar Român

  • fetī — *fetī germ., schwach. Femininum (n): nhd. Abschnitt; ne. chapter; Rekontruktionsbasis: an., ae., as., ahd.; Etymologie: idg. *pedi̯o , *pedi̯ó …   Germanisches Wörterbuch

  • feti- — [fēt′ō, fēt′əfēt′i, fēt′ə] combining form fetus [fetiparous]: also prefix combining form feto [fēt′ō, fēt′ə] …   English World dictionary

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