12 citations · 15 across the 4 of their papers we have counts for
5 papers
Higher order energy-corrected finite element methods
Thomas Horger, Petra Pustejovska, Barbara Wohlmuth
The regularity of the solution of elliptic partial differential equa- tions in a polygonal domain with re-entrant corners is, in general, reduced compared to the one on a smooth co…
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…
Simultaneous Reduced Basis Approximation of Parameterized Elliptic Eigenvalue Problems
Thomas Horger, Barbara Wohlmuth, Thomas Dickopf
The focus is on a model reduction framework for parameterized elliptic eigenvalue problems by a reduced basis method. In contrast to the standard single output case, one is interes…
On optimal - and surface flux convergence in FEM (extended version)
T. Horger, J. M. Melenk, B. Wohlmuth
We show that optimal -convergence in the finite element method on quasi-uniform meshes can be achieved if, for some , the boundary value problem has the mapping pro…