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math.NA2026
Numerical analysis for the Stokes problem with non-homogeneous Dirichlet boundary condition
Thomas Apel, Katharina Lorenz, Johannes Pfefferer
The Stokes problem with non-homogeneous Dirichlet boundary condition is solved numerically using conforming discretizations and an approximation of the boundary datum in the corres…
math.NA2025
Weak and very weak solutions of the Laplace equation and the Stokes system with prescribed regularity
Thomas Apel, Katharina Lorenz, Serge Nicaise
To verify theoretical results it is sometimes important to use a numerical example where the solution has a particular regularity. The paper describes one approach to construct suc…
math.NA2018
-error estimates for Neumann boundary value problems on graded meshes
Thomas Apel, Johannes Pfefferer, Sergejs Rogovs +1
This paper deals with a priori pointwise error estimates for the finite element solution of boundary value problems with Neumann boundary conditions in polygonal domains. Due to th…