3 papers
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…
math.NA2022
A balanced norm error estimation for the time-dependent reaction-diffusion problem with shift in space
Mirjana Brdar, Sebastian Franz, Lars Ludwig +1
We consider a singularly perturbed time-dependent problem with a shift term in space. On appropriately defined layer adapted meshes of Durán- and S-type we derive a-priori error es…
math.NA2013
Superconvergence of a Galerkin FEM for Higher-Order Elements in Convection-Diffusion Problems
S. Franz, H. -G. Roos
In this paper we present a first supercloseness analysis for higher-order Galerkin FEM applied to a singularly perturbed convection-diffusion problem. Using a solution decompositio…