4 papers · 1 filter
Interpolation Operators for parabolic Problems
Rob Stevenson, Johannes Storn
We introduce interpolation operators with approximation and stability properties suited for parabolic problems in primal and mixed formulations. We derive localized error estimates…
Operator preconditioning: the simplest case
Rob Stevenson, Raymond van Venetië
Using the framework of operator or Calderón preconditioning, uniform preconditioners are constructed for elliptic operators discretized with continuous finite (or boundary) element…
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…
Stability of Galerkin discretizations of a mixed space-time variational formulation of parabolic evolution equations
Rob Stevenson, Jan Westerdiep
We analyze Galerkin discretizations of a new well-posed mixed space-time variational formulation of parabolic PDEs. For suitable pairs of finite element trial spaces, the resulting…