2 papers
math.NA2025
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…
math.NA2024
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,…