6 citations · 6 across the 3 of their papers we have counts for
4 papers
A Double-Adaptivity Solver for Parabolic PDEs
Gregor Gantner, Robin Smeets, Rob Stevenson
We study minimal residual space-time finite element discretizations of linear parabolic initial value problems in canonical space-time variational form. To deal with the arising du…
Quasi-optimal time-space discretizations for a class of nonlinear parabolic PDEs
Nina Beranek, Robin Smeets, Rob Stevenson
We consider parabolic evolution equations with Lipschitz continuous and strongly monotone spatial operators. By introducing an additional variable, we construct an equivalent syste…
Minimal residual space-time discretizations of parabolic equations: Asymmetric spatial operators
Rob Stevenson, Jan Westerdiep
We consider a minimal residual discretization of a simultaneous space-time variational formulation of parabolic evolution equations. Under the usual `LBB' stability condition on pa…
Accuracy controlled data assimilation for parabolic problems
Wolfgang Dahmen, Rob Stevenson, Jan Westerdiep
This paper is concerned with the recovery of (approximate) solutions to parabolic problems from incomplete and possibly inconsistent observational data, given on a time-space cylin…