Spectral element approximations based on triangular elements and on the so-called Fekete points of the triangle have been recently developed. p-multigrid methods offer an interesting way to resolve efficiently the resulting ill-conditioned algebraic systems. For elliptic problems, it is shown that a well chosen restriction operator and a good set up of the coarse grid matrices may lead to valua...

Nadia Boukhelifa, Télécom ParisTech & CNRS LTCI Mike Bryant, KCL Nataša Bulatović, Max Planck Digital Library, Max Planck Society Ivan Čukić, Faculty of Mathematics, University of Belgrade Jean-Daniel Fekete, INRIA Milica Knežević, Mathematical Institute of the Serbian Academy of Sciences and Arts Jörg Lehmann, Universität Bern David Stuart, KCL Carsten Thiel, Universität Göttingen, Niedersächs...

We give a rigorous account of an algorithm that provides sequentially consistent replicated data on top of the view synchronous group communication service previously specified by Fekete, Lynch and Shvartsman. The algorithm performs updates at all members of a majority view, but rotates the work of queries among the members to equalize the load. The algorithm is presented and verified using I/O...

We study the statistical mechanics of classical two-dimensional “Coulomb gases” with general potential and arbitrary β, the inverse of the temperature. Such ensembles also correspond to random matrix models in some particular cases. The formal limit case β =∞ corresponds to “weighted Fekete sets” and also falls within our analysis. It is known that in such a system points should be asymptotical...

We give a rigorous account of an algorithm that provides sequentially consistent replicated data on top of the view synchronous group communication service previously speciied by Fekete, Lynch and Shvartsman. The algorithm performs updates at all members of a majority view, but rotates the work of queries among the members to equalize the load. The algorithm is presented and veriied using I/O a...

Róbert Busa-Fekete [email protected] Eyke Hüllermeier [email protected] Balázs Szörényi [email protected] MTA-SZTE Research Group on Artificial Intelligence, Tisza Lajos krt. 103., H-6720 Szeged, Hungary Department of Computer Science, University of Paderborn, Warburger Str. 100, 33098 Paderborn, Germany INRIA Lille Nord Europe, SequeL project, 40 avenue Halley, 59650 Villeneuve d’Ascq,...

We have implemented a Matlab code to compute Discrete Extremal Sets (of Fekete and Leja type) on convex or concave polygons, together with the corresponding interpolatory cubature formulas. The method works by QR and LU factorizations of rectangular Vandermonde matrices on Weakly Admissible Meshes (WAMs) of polygons, constructed by polygon quadrangulation. 2000 AMS subject classification: 65D05...