4 papers
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…
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…
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…
Superconvergence analysis of FEM and SDFEM on graded meshes for a problem with characteristic layers
Mirjana Brdar, Goran Radojev, Hans-Görg Roos +1
We consider a singularly perturbed convection-diffusion with exponential and characteristic boundary layers. The problem is numerically solved by the FEM and SDFEM method with bili…