3 papers
math.NA2025
A quasi-optimal space-time FEM with local mesh refinements for parabolic problems
Lars Diening, Rob Stevenson, Johannes Storn
We present a space-time finite element method for the heat equation that computes quasi-optimal approximations with respect to natural norms while incorporating local mesh refineme…
math.NA2023
Minimal residual methods in negative or fractional Sobolev norms
Harald Monsuur, Rob Stevenson, Johannes Storn
For numerical approximation the reformulation of a PDE as a residual minimisation problem has the advantages that the resulting linear system is symmetric positive definite, and th…
math.NA2022
Interpolation Operators for parabolic Problems
Rob Stevenson, Johannes Storn
We introduce interpolation operators with approximation and stability properties suited for parabolic problems in primal and mixed formulations. We derive localized error estimates…