@article{Szymczak_Paszyński_Pardo_2013, title={GRAPH GRAMMAR BASED PETRI NET CONTROLLED DIRECT SOLVER ALGORITHM}, volume={11}, url={https://journals.agh.edu.pl/csci/article/view/122}, DOI={10.7494/csci.2010.11.0.65}, abstractNote={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.}, journal={Computer Science}, author={Szymczak, Arkadiusz and Paszyński, Maciej and Pardo, David}, year={2013}, month={Mar.}, pages={65} }