42 citations · 176 across the 19 of their papers we have counts for
5 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…
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…
Least squares solvers for ill-posed PDEs that are conditionally stable
Wolfgang Dahmen, Harald Monsuur, Rob Stevenson
This paper is concerned with the design and analysis of least squares solvers for ill-posed PDEs that are conditionally stable. The norms and the regularization term used in the le…
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…