Parallel, fully automatic hp-adaptive 3D finite element package
Engineering with Computers
Graph Transformations for Modeling hp-Adaptive Finite Element Method with Triangular Elements
ICCS '08 Proceedings of the 8th international conference on Computational Science, Part III
Computing with Hp-Adaptive Finite Elements, Vol. 2: Frontiers Three Dimensional Elliptic and Maxwell Problems with Applications
Graph transformations for modeling parallel hp-adaptive finite element method
PPAM'07 Proceedings of the 7th international conference on Parallel processing and applied mathematics
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A Graph Grammar Model of the hp Adaptive Three Dimensional Finite Element Method. Part II
Fundamenta Informaticae
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The paper presents the model of concurrency for the self-adaptive hp -Finite Element Method (hp -FEM) with triangular elements. The model concerns the process of an initial mesh generation as well as mesh adaptation. The model is obtained by defining CP-graph grammar productions as basic undivided tasks for both mesh generation and adaptation algorithms. The order of execution of graph grammar productions is set by control diagrams. Finally, the Petri nets are created based on the control diagrams. The self-adaptive hp -FEM algorithm modeled as a Petri net can be analyzed for deadlocks, starvation or infinite execution.