3 papers
math.NA2020
Further results on a space-time FOSLS formulation of parabolic PDEs
Gregor Gantner, Rob Stevenson
In [2019, Space-time least-squares finite elements for parabolic equations, arXiv:1911.01942] by Führer& Karkulik, well-posedness of a space-time First-Order System Least-Squares f…
math.NA2019
Adaptive IGAFEM with optimal convergence rates: T-splines
Gregor Gantner, Dirk Praetorius
We consider an adaptive algorithm for finite element methods for the isogeometric analysis (IGAFEM) of elliptic (possibly non-symmetric) second-order partial differential equations…
math.NA2019
Adaptive isogeometric boundary element methods with local smoothness control
Gregor Gantner, Dirk Praetorius, Stefan Schimanko
In the frame of isogeometric analysis, we consider a Galerkin boundary element discretization of the hyper-singular integral equation associated with the 2D Laplacian. We propose a…