“…The interest of the partition function is that one can avoid to study in too much details the local geometry of Voronoï cells. In dimension d = 2, it is possible to rely on a local geometrical parametrization of Voronoï cells to calculate the partial derivatives as shown in [16], even if the number of local geometrical configurations to examine can be important. However in dimension d ≥ 3, it seems almost impossible to cover all possible geometrical configurations.…”
Section: Lagrangian Voronoï Meshesmentioning
confidence: 99%
“…where f ji and f ri are defined by (7). It is sufficient to use (15)(16)(17) to obtain x∈Ωi R ik (x) ≤ C/β. Similarly…”
“…The interest of the partition function is that one can avoid to study in too much details the local geometry of Voronoï cells. In dimension d = 2, it is possible to rely on a local geometrical parametrization of Voronoï cells to calculate the partial derivatives as shown in [16], even if the number of local geometrical configurations to examine can be important. However in dimension d ≥ 3, it seems almost impossible to cover all possible geometrical configurations.…”
Section: Lagrangian Voronoï Meshesmentioning
confidence: 99%
“…where f ji and f ri are defined by (7). It is sufficient to use (15)(16)(17) to obtain x∈Ωi R ik (x) ≤ C/β. Similarly…”
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