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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| Author: | Carsten Carstensen, Joscha Gedicke, Donsub Rim |
|---|---|
| URN: | urn:nbn:de:0296-matheon-9314 |
| Referee: | Michael Hintermüller |
| Document Type: | Preprint, Research Center Matheon |
| Language: | English |
| Date of first Publication: | 2011/11/27 |
| Release Date: | 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 |
