TY - JOUR
AU - Szymczak, Arkadiusz
AU - Paszyński, Maciej
AU - Pardo, David
AU - Paszyńska, Anna
PY - 2015/10/19
Y2 - 2024/10/04
TI - Petri Nets Modeling of Dead-End Refinement Problems in a 3D Anisotropic hp-Adaptive Finite Element Method
JF - COMPUTING AND INFORMATICS
JA - Comput. Inform.
VL - 34
IS - 2
SE - Articles
DO -
UR - https://www.cai.sk/ojs/index.php/cai/article/view/1839
SP - 425-457
AB - 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.
ER -