2 papers
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,…
math.NA2024
Ultra-weak least squares discretizations for unique continuation and Cauchy problems
Harald Monsuur, Rob Stevenson
In this paper, conditional stability estimates are derived for unique continuation and Cauchy problems associated to the Poisson equation in ultra-weak variational form. Numerical…