4 papers · 1 filter
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…
Quasi-Optimal Least Squares: Inhomogeneous boundary conditions, and application with machine learning
Harald Monsuur, Robin Smeets, Rob Stevenson
We construct least squares formulations of PDEs with inhomogeneous essential boundary conditions, where boundary residuals are not measured in unpractical fractional Sobolev norms,…
Robust time-discretisation and linearisation schemes for singular and degenerate evolution systems modelling biofilm growth
R. K. H. Smeets, K. Mitra, I. S. Pop +1
We propose and analyse numerical schemes for a system of quasilinear, degenerate evolution equations modelling biofilm growth as well as other processes such as flow through porous…