Abstract

We consider two graph grammar based Petri nets models for anisotropic refinements of three dimensional hexahedral grids. The first one detects possible dead-end problems during the graph grammar based anisotropic refinements of the mesh. The second one employs an enhanced graph grammar model that is actually dead-end free. We apply the resulting algorithm to the simulation of resistivity logging measurements for estimating the location of underground oil and/or gas formations. The graph grammar based Petri net models allow to fix the self-adaptive mesh refinement algorithm and finish the adaptive computations with the required accuracy needed by the numerical solution.

Keywords

MSC

68Q05, 68Q42, 68Q60, 68Q85

Cite this article

@article{cai-1839,
  author  = {Arkadiusz Szymczak and Maciej Paszynski and David Pardo and Anna Paszynska},
  title   = {Petri Nets Modeling of Dead-End Refinement Problems in a 3D Anisotropic hp},
  journal = {Computing and Informatics},
  volume  = {34},
  number  = {2},
  pages   = {425--457},
  year    = {2015},
  issn    = {1335-9150},
  url     = {https://cai.type.sk/content/2015/2/petri-nets-modeling-of-dead-end-refinement-problems-in-a-3d-anisotropic-hp/}
}
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