Weak Galerkin finite element method for second order problems on curvilinear polytopal meshes with Lipschitz continuous edges or faces

In this paper, we propose new basis functions defined on curved sides or faces of curvilinear elements (polygons or polyhedrons with curved sides or faces) for the weak Galerkin finite element method. Those basis functions are constructed by collecting linearly independent traces of polynomials on t...

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Veröffentlicht in:	Computers & mathematics with applications (1987) 2023-10, Vol.148, p.282-292
Hauptverfasser:	Guan, Qingguang, Queisser, Gillian, Zhao, Wenju
Format:	Artikel
Sprache:	eng
Schlagworte:	Curvilinear elements High orders Lipschitz continuous boundaries or interfaces Second-order PDEs Traces of polynomials Weak Galerkin method
Online-Zugang:	Volltext
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