Please use this identifier to cite or link to this item:
|Title:||On the Poincaré-Friedrichs inequality for piecewise H1 functions in anisotropic discontinuous Galerkin finite element methods||Authors:||Duan, H.-Y.
Crouzeix-Raviart nonconforming linear element
Discontinuous galerkin finite element method
Poincaré-Friedrichs inequality of piecewise H1 function
The maximum angle condition
|Issue Date:||2010||Citation:||Duan, H.-Y.,Tan, R.C.E. (2010). On the Poincaré-Friedrichs inequality for piecewise H1 functions in anisotropic discontinuous Galerkin finite element methods. Mathematics of Computation 80 (273) : 119-140. ScholarBank@NUS Repository.||Abstract:||The purpose of this paper is to propose a proof for the Poincaré-Friedrichs inequality for piecewise H1 functions on anisotropic meshes. By verifying suitable assumptions involved in the newly proposed proof, we show that the Poincaré-Friedrichs inequality for piecewise H1 functions holds independently of the aspect ratio which characterizes the shape-regular condition in finite element analysis. In addition, under the maximum angle condition, we establish the Poincaré-Friedrichs inequality for the Crouzeix-Raviart nonconforming linear finite element. Counterexamples show that the maximum angle condition is only sufficient. © 2010 American Mathematical Society.||Source Title:||Mathematics of Computation||URI:||http://scholarbank.nus.edu.sg/handle/10635/103826||ISSN:||00255718|
|Appears in Collections:||Staff Publications|
Show full item record
Files in This Item:
There are no files associated with this item.
checked on Oct 12, 2019
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.