Damian Goik

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In this paper, we present a multi-frontal solver algorithm for the adaptive finite element method expressed by graph grammar productions. The graph grammar productions construct first the binary elimination tree, and then process frontal matrices stored in distributed manner in nodes of the elimination tree. The solver is specialized for a class of one, two(More)
1 Jagiellonian University, 31007 Krakow, Poland 2AGH University of Science and Technology, 30059 Krakow, Poland 3Applied Mathematics & Computational Science, King Abdullah University of Science and Technology (KAUST), Thuwal 23955-6900, Saudi Arabia 4Earth Science & Engineering and Center for Numerical PorousMedia, King Abdullah University of Science and(More)
In this paper we present a hypergraph grammar model for transformation of two and three dimensional grids. The hypergraph grammar concerns the proces of generation of uniform grids with two or three dimensional rectangular or hexahedral elements, followed by the proces of h refinements, namely breaking selected elements into four or eight son elements, in(More)
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