198 citations · 242 across the 10 of their papers we have counts for
6 papers · 1 filter
Biorthogonal splines for optimal weak patch-coupling in isogeometric analysis with applications to finite deformation elasticity
Linus Wunderlich, Alexander Seitz, Mert Deniz Alaydin +2
A new construction of biorthogonal splines for isogeometric mortar methods is proposed. The biorthogonal basis has a local support and, at the same time, optimal approximation prop…
A hybrid isogeometric approach on multi-patches with applications to Kirchhoff plates and eigenvalue problems
Thomas Horger, Alessandro Reali, Barbara Wohlmuth +1
We present a systematic study on higher-order penalty techniques for isogeometric mortar methods. In addition to the weak-continuity enforced by a mortar method, normal derivatives…
Reduced basis isogeometric mortar approximations for eigenvalue problems in vibroacoustics
Thomas Horger, Barbara Wohlmuth, Linus Wunderlich
We simulate the vibration of a violin bridge in a multi-query context using reduced basis techniques. The mathematical model is based on an eigenvalue problem for the orthotropic l…
The Influence of Quadrature Errors on Isogeometric Mortar Methods
Ericka Brivadis, Annalisa Buffa, Barbara Wohlmuth +1
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 introduce…
Trace and flux a priori error estimates in finite element approximations of Signorni-type problems
Olaf Steinbach, Barbara Wohlmuth, Linus Wunderlich
Variational inequalities play in many applications an important role and are an active research area. Optimal a priori error estimates in the natural energy norm do exist but only…
Isogeometric mortar methods
Ericka Brivadis, Annalisa Buffa, Barbara Wohlmuth +1
The application of mortar methods in the framework of isogeometric analysis is investigated theoretically as well as numerically. For the Lagrange multiplier two choices of uniform…