Adaptive Semi-Structured Mesh Refinement Techniques for the Finite Element Method
| Autor: | Luis E. Garcia-Castillo, Adrian Amor-Martin |
|---|---|
| Přispěvatelé: | Ministerio de Ciencia e Innovación (España) |
| Jazyk: | angličtina |
| Rok vydání: | 2021 |
| Předmět: |
Finite element method
Technology Discretization Computer science QH301-705.5 QC1-999 finite element method 02 engineering and technology 01 natural sciences adaptivity 0202 electrical engineering electronic engineering information engineering Periodic boundary conditions General Materials Science 0101 mathematics Biology (General) Instrumentation periodic boundary conditions QD1-999 ComputingMethodologies_COMPUTERGRAPHICS Fluid Flow and Transfer Processes Telecomunicaciones Computational Process Chemistry and Technology Physics General Engineering Process (computing) Electromagnetics 020206 networking & telecommunications Engineering (General). Civil engineering (General) Computer Science Applications 010101 applied mathematics Adaptivity Chemistry Line (geometry) Tetrahedron Computational electromagnetics Element (category theory) computational electromagnetics TA1-2040 Algorithm |
| Zdroj: | Applied Sciences, Vol 11, Iss 3683, p 3683 (2021) Applied Sciences Volume 11 Issue 8 e-Archivo. Repositorio Institucional de la Universidad Carlos III de Madrid instname |
| ISSN: | 2076-3417 |
| Popis: | 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-P |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|