Petri Nets Modeling of Dead-End Refinement Problems in a 3D Anisotropic hp-Adaptive Finite Element Method
Keywords:
Petri nets, automatic hp adaptivity, finite element method, dead-end, borehole resistivity loggingAbstract
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.Downloads
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Published
2015-10-19
How to Cite
Szymczak, A., Paszyński, M., Pardo, D., & Paszyńska, A. (2015). Petri Nets Modeling of Dead-End Refinement Problems in a 3D Anisotropic hp-Adaptive Finite Element Method. Computing and Informatics, 34(2), 425–457. Retrieved from http://147.213.75.17/ojs/index.php/cai/article/view/1839
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