Please use this identifier to cite or link to this item: https://hdl.handle.net/10356/81021
Title: Spectral element methods on hybrid triangular and quadrilateral meshes
Authors: Ma, Heping
Li, Jingliang
Wang, Li-Lian
Wu, Hua
Keywords: Triangule-rectangle Mapping
Spectral Element Method
DRNTU::Science::Mathematics
Issue Date: 2017
Source: Li, J., Ma, H., Wang, L.-L. & Wu, H. (2018). Spectral element methods on hybrid triangular and quadrilateral meshes. International Journal of Numerical Analysis and Modeling, 15(1), 111-133.
Series/Report no.: International Journal of Numerical Analysis and Modeling
Abstract: In this paper, we implement and analyse a spectral element method (SEM) on hybrid triangular and quadrilateral element meshes, where the elemental transformation between the triangular element and the reference element is based on the mapping in [17]. We introduce the notion of “quasi-interpolation” to glue the hybrid elements which can build in the singularity of the elemental mapping, and only affects one coefficient of the tensorial nodal basis expansion. Therefore, the hybrid method can be implemented as efficiently as the usual quadrilateral SEM. We also rigorously analyse the “quasi-interpolation” error and the convergence of the hybrid SEM, which show the spectral accuracy can be kept.
URI: https://hdl.handle.net/10356/81021
http://hdl.handle.net/10220/48144
URL: https://scholar.google.com.sg/scholar?q=SPECTRAL+ELEMENT+METHODS+ON+HYBRID+TRIANGULAR+AND+QUADRILATERAL+MESHES&hl=en&as_sdt=0&as_vis=1&oi=scholart
ISSN: 1705-5105
Schools: School of Physical and Mathematical Sciences 
Rights: © 2018 Institute for Scientific Computing and Information. All rights reserved. This paper was published in International Journal of Numerical Analysis and Modeling and is made available with permission of Institute for Scientific Computing and Information.
Fulltext Permission: open
Fulltext Availability: With Fulltext
Appears in Collections:SPMS Journal Articles

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