3 papers
math.NA2023
Post-processing and improved error estimates of numerical methods for evolutionary systems
Sebastian Franz
We consider evolutionary systems, i.e. systems of linear partial differential equations arising from the mathematical physics. For these systems there exists a general solution the…
math.NA2023
A convection-diffusion problem with a large shift on Duran meshes
Mirjana Brdar, Sebastian Franz, Hans-Goerg Roos
A convection-diffusion problem with a large shift in space is considered. Numerical analysis of high order finite element methods on layer-adapted Duran type meshes, as well as on…
math.NA2022
Numerical analysis of a singularly perturbed convection diffusion problem with shift in space
Mirjana Brdar, Sebastian Franz, Lars Ludwig +1
We consider a singularly perturbed convection-diffusion problem that has in addition a shift term. We show a solution decomposition using asymptotic expansions and a stability resu…