@inproceedings{0dff0a84ea254ca7b5e8e020d16cd87e,
title = "The influence of quadrature errors on isogeometric mortar methods",
abstract = "Mortar methods have recently been shown to be well suited for isogeometric analysis. We review the recent mathematical analysis and then investigate the variational crime introduced by quadrature formulas for the coupling integrals. Motivated by finite element observations, we consider on the interface a quadrature rule purely based on the slave mesh as well as a method using on the interface quadrature rules based on the slave mesh and on the master mesh, resulting in a non-symmetric saddle point problem. While in the first case reduced convergence rates can be observed, in the second case the influence of the variational crime is less significant.",
author = "Ericka Brivadis and Annalisa Buffa and Barbara Wohlmuth and Linus Wunderlich",
note = "Publisher Copyright: {\textcopyright} Springer International Publishing Switzerland 2015.; International Conference on Isogeometric Analysis and Applications, IGAA 2014 ; Conference date: 07-04-2014 Through 10-04-2014",
year = "2015",
doi = "10.1007/978-3-319-23315-4_2",
language = "English",
isbn = "9783319233147",
series = "Lecture Notes in Computational Science and Engineering",
publisher = "Springer Verlag",
pages = "33--50",
editor = "Bert J{\"u}ttler and Bernd Simeon",
booktitle = "Isogeometric Analysis and Applications 2014",
}
