arXiv:1504.00898 Abstract | arXiv Analytics

arXiv:1504.00898 [math.NA]Abstract References Reviews Resources

A Recovery-Based A Posteriori Error Estimator for $\boldsymbol{H}(\mathbf{curl})$ Interface Problems

Published 2015-04-03Version 1

This paper introduces a new recovery-based a posteriori error estimator for the lowest order N\'{e}d\'{e}lec finite element approximation to the $\boldsymbol{H}(\mathbf{curl})$ interface problem. The error estimator is analyzed by establishing both the reliability and the efficiency bounds and is supported by numerical results. Under certain assumptions, it is proved that the reliability and efficiency constants are independent of the jumps of the coefficients.

Categories: math.NA

Subjects: 65N15, 65N30, 65N50

Keywords: posteriori error estimator, interface problem, finite element approximation, reliability

Related articles: Most relevant | Search more

arXiv:1311.5121 [math.NA] (Published 2013-11-20, updated 2014-08-12)

Finite element approximation of the $p(\cdot)$-Laplacian

D. Breit, L. Diening, S. Schwarzacher

arXiv:2308.01580 [math.NA] (Published 2023-08-03)

Finite element approximation of the Hardy constant

Francesco Della Pietra, Giovanni Fantuzzi, Liviu I. Ignat, Alba Lia Masiello, Gloria Paoli, Enrique Zuazua

arXiv:1204.2145 [math.NA] (Published 2012-04-10, updated 2013-10-28)

Finite element approximation of steady flows of incompressible fluids with implicit power-law-like rheology