Explicit Error Estimates for Courant, Crouzeix-Raviart and Raviart-Thomas Finite Element Methods

Please always quote using this URN: urn:nbn:de:0296-matheon-9314
  • The elementary analysis of this paper presents explicit expressions of the constants in the a priori error estimates for the lowest-order Courant, Crouzeix-Raviart nonconforming and Raviart-Thomas mixed finite element methods in the Poisson model problem. The three constants and their dependences on some maximal angle in the triangulation are indeed all comparable and allow accurate a priori error control.

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Metadaten
Author:Carsten Carstensen, Joscha Gedicke, Donsub Rim
URN:urn:nbn:de:0296-matheon-9314
Referee:Michael Hinterm├╝ller
Language:English
Date of first Publication:2011/11/27
MSC-Classification:65-XX NUMERICAL ANALYSIS / 65Nxx Partial differential equations, boundary value problems / 65N15 Error bounds
65-XX NUMERICAL ANALYSIS / 65Nxx Partial differential equations, boundary value problems / 65N30 Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods
Preprint Number:826

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