In this paper, we study the quadrilateral finite element approximation to singular solutions of elliptic equations due to the non-smoothness of the domain ...
Optimal Quadrilateral Finite Elements on Polygonal Domains
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We propose three quadrilateral mesh refinement algorithms to improve the convergence of the finite element method approximating the singular solutions of ...
Optimal Quadrilateral Finite Elements on Polygonal Domains. https://doi.org ... Maximum norm estimates in the finite element method on plane polygonal domains.
Abstract. We introduce a finite element construction for use on the class of convex, planar polygons and show it obtains a quadratic error convergence.
The Raviart–Thomas elements give optimal order approximation on quadrilateral meshes, but BDM and BDFM must be suboptimal because of bad approximation of ...
Smoothed finite element method (SFEM) using quadrilateral elements was recently proposed by Liu et al. [A smoothed finite element method for mechanics ...
We propose three quadrilateral mesh refinement algorithms to improve the convergence of the finite element method approximating the singular.
The reason this holds on polygonal domains is that we are are able to mesh the domain exactly using regular triangular or quadrilateral elements. On general ...
Oct 4, 2018 · This paper provides brief review on polygonal/polyhedral finite elements. Various techniques, together with their advantages and disadvantages, are listed.
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Jun 15, 2020 · This paper aims to determine which numerical integration method shows the best performance when integrating the polygonal finite element ...