A robust a posteriori error estimate for the Fortin-Soulie finite-element method

Authors:
D. J. Blacker
Affiliations:
-
Venue:
Computers & Mathematics with Applications
Year:
2004

Citing 3
Cited 0

Mixed and hybrid finite element methods

Mixed and hybrid finite element methods
Analysis of the efficiency of an a posteriori error estimator for linear triangular finite elements

SIAM Journal on Numerical Analysis
A posteriori error control in low-order finite element discretisations of incompressible stationary flow problems

Mathematics of Computation

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Abstract

The subject of a posteriori error estimation is widely studied, and a variety of such error estimates have been used for elasticity problems in recent years. Of particular interest is the work carried out in ^[^1^,^2^]. In this paper, we derive a new a posteriori error estimator for the quadratic nonconforming Fortin-Soulie element for the error in an energy-like norm. Then, we illustrate the new error bound by presenting some numerical examples, and show an example of a sequence of adaptively refined meshes.