41 citations · 369 across the 28 of their papers we have counts for
5 papers · 1 filter
Inexpensive polynomial-degree-robust equilibrated flux a posteriori estimates for isogeometric analysis
Gregor Gantner, Martin Vohralík
We consider isogeometric discretizations of the Poisson model problem, focusing on high polynomial degrees and strong hierarchical refinements. We derive a posteriori error estimat…
Improved rates for a space-time FOSLS of parabolic PDEs
Gregor Gantner, Rob Stevenson
We consider the first-order system space-time formulation of the heat equation introduced in [Bochev, Gunzburger, Springer, New York (2009)], and analyzed in [Führer, Karkulik, Com…
Applications of a space-time FOSLS formulation for parabolic PDEs
Gregor Gantner, Rob Stevenson
In this work, we show that the space-time first-order system least-squares (FOSLS) formulation [Führer, Karkulik, Comput. Math. Appl. 92 (2021)] for the heat equation and its recen…
Stable implementation of adaptive IGABEM in 2D in MATLAB
Gregor Gantner, Dirk Praetorius, Stefan Schimanko
We report on our MATLAB program package IGABEM2D, which provides an easily accessible implementation of adaptive Galerkin boundary element methods in the frame of isogeometric anal…
A well-posed First Order System Least Squares formulation of the instationary Stokes equations
Gregor Gantner, Rob Stevenson
In this paper, a well-posed simultaneous space-time First Order System Least Squares formulation is constructed of the instationary incompressible Stokes equations with slip bounda…