Original title: RTIN-based strategies for local mesh refinement
Authors: Kolcun, Alexej ; Sysala, Stanislav
Document type: Papers
Conference/Event: Programs and Algorithms of Numerical Mathematics /20./, Hejnice (CZ), 20200621
Year: 2021
Language: eng
Abstract: Longest-edge bisection algorithms are often used for local mesh refinements within the finite element method in 2D. In this paper, we discuss and describe their conforming variant. A particular attention is devoted to the so-called Right-Triangulated Irregular Network (RTIN) based on isosceles right triangles and its tranformation to more general domains. We suggest to combine RTIN with a balanced quadrant tree (QuadTree) decomposition. This combination does not produce hanging nodes within the mesh refinements and could be extended to tetrahedral meshes in 3D.
Keywords: balanced quadrant tree; homomorphic transformation; longest-edge bisection; mesh refinement; right-triangulated irregular network
Project no.: GA19-11441S (CEP)
Funding provider: GA ČR
Host item entry: Programs and Algorithms of Numerical Mathematics 20, ISBN 978-80-85823-71-4
Note: Související webová stránka: https://dml.cz/handle/10338.dmlcz/703101

Institution: Institute of Geonics AS ČR (web)
Document availability information: Fulltext is available on demand via the digital repository of the Academy of Sciences.
Original record: http://hdl.handle.net/11104/0320177

Permalink: http://www.nusl.cz/ntk/nusl-442298


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