42 citations · 66 across the 7 of their papers we have counts for
7 papers
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…
Efficient space-time adaptivity for parabolic evolution equations using wavelets in time and finite elements in space
Raymond van Venetië, Jan Westerdiep
Considering the space-time adaptive method for parabolic evolution equations introduced in [arXiv:2101.03956 [math.NA]], this work discusses an implementation of the method in whic…
A wavelet-in-time, finite element-in-space adaptive method for parabolic evolution equations
Rob Stevenson, Raymond van Venetië, Jan Westerdiep
In this work, an -linearly converging adaptive solver is constructed for parabolic evolution equations in a simultaneous space-time variational formulation. Exploiting the produ…
A parallel algorithm for solving linear parabolic evolution equations
Raymond van Venetië, Jan Westerdiep
We present an algorithm for the solution of a simultaneous space-time discretization of linear parabolic evolution equations with a symmetric differential operator in space. Buildi…
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…
On -robust saturation on quadrangulations
Jan Westerdiep
For the Poisson problem in two dimensions, posed on a domain partitioned into axis-aligned rectangles with up to one hanging node per edge, we envision an efficient error reduction…