Adaptive Semi-Structured Mesh Refinement Techniques for the Finite Element Method
| العنوان: | Adaptive Semi-Structured Mesh Refinement Techniques for the Finite Element Method |
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| المؤلفون: | Luis E. Garcia-Castillo, Adrian Amor-Martin |
| المساهمون: | Ministerio de Ciencia e Innovación (España) |
| المصدر: | 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 |
| بيانات النشر: | MDPI AG, 2021. |
| سنة النشر: | 2021 |
| مصطلحات موضوعية: | 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 |
| الوصف: | 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 |
| وصف الملف: | application/pdf |
| اللغة: | English |
| تدمد: | 2076-3417 |
| URL الوصول: | https://explore.openaire.eu/search/publication?articleId=doi_dedup___::594d4d89abb772320a3f6f162e9ca0ed https://www.mdpi.com/2076-3417/11/8/3683 |
| حقوق: | OPEN |
| رقم الأكسشن: | edsair.doi.dedup.....594d4d89abb772320a3f6f162e9ca0ed |
| قاعدة البيانات: | OpenAIRE |
| تدمد: | 20763417 |
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