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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.OC2026
Dirichlet control problems with energy regularization governed by non-coercive elliptic equations
Thomas Apel, Mariano Mateos, Arnd Rösch
The present study investigates a linear-quadratic Dirichlet control problem governed by a non-coercive elliptic equation posed on a possibly non-convex polygonal domain. Tikhonov r…