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Main Title: P1-Nonconforming finite elements on triangulations into triangles and quadrilaterals
Author(s): Altmann, Robert
Carstensen, C.
Type: Article
Language Code: en
Abstract: The P1-nonconforming finite element is introduced for arbitrary triangulations into quadrilaterals and triangles of multiple connected Lipschitz domains. An explicit a priori analysis for the combination of the Park–Sheen and the Crouzeix–Raviart nonconforming finite element methods is given for second-order elliptic PDEs with inhomogeneous Dirichlet boundary conditions.
Issue Date: 2012
Date Available: 12-Jan-2018
DDC Class: 510 Mathematik
Subject(s): nonconforming finite elements
elliptic problems
a priori estimates
Journal Title: SIAM journal on numerical analysis
Publisher: Society for Industrial and Applied Mathematics
Publisher Place: Philadelphia, Pa.
Volume: 50
Issue: 2
Publisher DOI: 10.1137/110823675
Page Start: 418
Page End: 438
EISSN: 1095-7170
ISSN: 0036-1429
Appears in Collections:Inst. Mathematik » Publications

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