Spectral element methods on hybrid triangular and quadrilateral meshes

• Main Authors: Ma, Heping, Li, Jingliang, Wang, Li-Lian, Wu, Hua
• Other Authors: School of Physical and Mathematical Sciences
• Format: Article
• Language: English
• Published: 2019
• Subjects: Triangule-rectangle Mapping; Spectral Element Method; DRNTU::Science::Mathematics
• Online Access: https://hdl.handle.net/10356/81021; http://hdl.handle.net/10220/48144; 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
• Institution: Nanyang Technological University

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”...