Please use this identifier to cite or link to this item: https://scholarbank.nus.edu.sg/handle/10635/103826
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dc.titleOn the Poincaré-Friedrichs inequality for piecewise H1 functions in anisotropic discontinuous Galerkin finite element methods
dc.contributor.authorDuan, H.-Y.
dc.contributor.authorTan, R.C.E.
dc.date.accessioned2014-10-28T02:41:55Z
dc.date.available2014-10-28T02:41:55Z
dc.date.issued2010
dc.identifier.citationDuan, 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.
dc.identifier.issn00255718
dc.identifier.urihttp://scholarbank.nus.edu.sg/handle/10635/103826
dc.description.abstractThe 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.
dc.sourceScopus
dc.subjectAnisotropic mesh
dc.subjectCrouzeix-Raviart nonconforming linear element
dc.subjectDiscontinuous galerkin finite element method
dc.subjectPoincaré-Friedrichs inequality of piecewise H1 function
dc.subjectShape-regular condition
dc.subjectThe maximum angle condition
dc.typeArticle
dc.contributor.departmentMATHEMATICS
dc.description.sourcetitleMathematics of Computation
dc.description.volume80
dc.description.issue273
dc.description.page119-140
dc.identifier.isiutNOT_IN_WOS
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