TY - JOUR
AU - Szymczak, Arkadiusz
AU - PaszyĆski, Maciej
AU - Pardo, David
PY - 2013/03/15
Y2 - 2023/06/01
TI - GRAPH GRAMMAR BASED PETRI NET CONTROLLED DIRECT SOLVER ALGORITHM
JF - Computer Science
JA - csci
VL - 11
IS - 0
SE - Articles
DO - 10.7494/csci.2010.11.0.65
UR - https://journals.agh.edu.pl/csci/article/view/122
SP - 65
AB - In this paper we present the Petri net setting the optimal order of elimination for directsolver working with hp refined finite finite element meshes. The computational mesh is representedby a graph, with graph vertices corresponding to finite element nodes. The directsolver algorithm is expressed as a sequence of graph grammar productions, attributing thegraph vertices. The Petri net dictates the order of graph grammar productions, representingthe execution of the solver algorithm over a graph representation of computational mesh.The presentation is concluded with numerical experiments performed for a model L-shapedomain.
ER -