Publication: Adaptive Semi-Structured Mesh Refinement Techniques for the Finite Element Method
Loading...
Identifiers
Publication date
2021-04-02
Defense date
Advisors
Tutors
Journal Title
Journal ISSN
Volume Title
Publisher
MDPI
Impact
Export
Abstract
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.
Description
Keywords
Finite element method, Adaptivity, Periodic boundary conditions, Computational, Electromagnetics
Bibliographic citation
Amor-Martin, A., & Garcia-Castillo, L. E. (2021). Adaptive Semi-Structured Mesh Refinement Techniques for the Finite Element Method. Applied Sciences, 11(8), 3683.