Adaptive Semi-Structured Mesh Refinement Techniques for the Finite Element Method

The adaptive mesh techniques applied to the Finite Element Method have continuously been an active research line. However, these techniques are usually applied to tetrahedra. Here, we use the triangular prismatic element as the discretization shape for a Finite Element Method code with adaptivity. The adaptive process consists of three steps: error estimation, marking, and refinement. We adapt techniques already applied for other shapes to the triangular prisms, showing the differences here in detail. We use five different marking strategies, comparing the results obtained with different parameters. We adapt these strategies to a conformation process necessary to avoid hanging nodes in the resulting mesh. We have also applied two special rules to ensure the quality of the refined mesh. We show the effect of these rules with the Method of Manufactured Solutions and numerical results to validate the implementation introduced.This work has been financially supported by TEC2016-80386-

Open-Full-Jaw: An open-access dataset and pipeline for finite element models of human jaw

Developing computational models of the human jaw acquired from cone-beam computed tomography (CBCT) scans is time-consuming and labor-intensive. Besides, a quantitative comparison is not attainable in the literature due to the involved manual tasks and the lack of surface/volumetric meshes. We share an open-access repository of 17 patient-specific finite-element (FE) models of human jaws acquired from CBCT scans and the utilized pipeline for generating them. The proposed pipeline minimizes model generation time and potential errors caused by human interventions. It gets dense surface meshes and provides reduced conformal surface/volumetric meshes suitable for FE analysis. We have quantified the geometrical variations of developed models and assessed models' accuracy from different aspects; (1) the maximum deviations from the input meshes, (2) the mesh quality, and (3) the simulation results. Our results indicate that the developed computational models are precise and have quality meshes suitable for various FE scenarios. Therefore, we believe this dataset will pave the way for future population studies