Anzeige
Erschienen in:
2010 | OriginalPaper | Buchkapitel
Graph Grammar Based Petri Nets Model of Concurrency for Self-adaptive hp-Finite Element Method with Rectangular Elements
verfasst von : Arkadiusz Szymczak, Maciej Paszyński
Erschienen in: Parallel Processing and Applied Mathematics
Verlag: Springer Berlin Heidelberg
Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.
Wählen Sie Textabschnitte aus um mit Künstlicher Intelligenz passenden Patente zu finden. powered by
Markieren Sie Textabschnitte, um KI-gestützt weitere passende Inhalte zu finden. powered by
The paper presents the Petri nets model describing the process of rectangular finite element mesh generation and
h
adaptation. This is the first step towards the formal analysis of all the parts of the existing graph grammar based parallel adaptive
hp
-Finite Element Method algorithms expressed by graph grammar productions. The mesh transformations are expressed as composite programmable graph grammar productions. The transitions on Petri nets correspond to the execution of graph grammar productions. The graph grammar based algorithms modeled as a Petri net can be analyzed for deadlocks, starvation or infinite execution. The parallel adaptive algorithms have many applications in the area of numerical simulations of different engineering problems, including material science, heat transfer, wave propagation and other.