RT Journal Article
T1 Adaptive Semi-Structured Mesh Refinement Techniques for the Finite Element Method
A1 Amor Martín, Adrián
A1 García Castillo, Luis Emilio
AB The adaptive mesh techniques applied to the Finite Element Method have continuouslybeen 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 Methodcode with adaptivity. The adaptive process consists of three steps: error estimation, marking, andrefinement. We adapt techniques already applied for other shapes to the triangular prisms, showingthe differences here in detail. We use five different marking strategies, comparing the results obtainedwith different parameters. We adapt these strategies to a conformation process necessary to avoidhanging nodes in the resulting mesh. We have also applied two special rules to ensure the quality ofthe refined mesh. We show the effect of these rules with the Method of Manufactured Solutions andnumerical results to validate the implementation introduced.
PB MDPI
SN 2076-3417
YR 2021
FD 2021-04-02
LK https://hdl.handle.net/10016/34975
UL https://hdl.handle.net/10016/34975
LA eng
NO This work has been financially supported by TEC2016-80386-P
DS e-Archivo
RD 1 sept. 2024