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09/21/2023
Numerical analysis of a singularly perturbed 4th order problem with a shift term
We consider a one-dimensional singularly perturbed 4th order problem wit...
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04/25/2023
Post-processing and improved error estimates of numerical methods for evolutionary systems
We consider evolutionary systems, i.e. systems of linear partial differe...
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04/21/2023
A convection-diffusion problem with a large shift on Duran meshes
A convection-diffusion problem with a large shift in space is considered...
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12/22/2022
Green's function estimates for a 2d singularly perturbed convection-diffusion problem: extended analysis
This paper presents an extended version of the article [Franz, S., Kopte...
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11/11/2022
Pointwise-in-time a posteriori error control for higher-order discretizations of time-fractional parabolic equations
Time-fractional parabolic equations with a Caputo time derivative are co...
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07/19/2022
Numerical analysis of a singularly perturbed convection diffusion problem with shift in space
We consider a singularly perturbed convection-diffusion problem that has...
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07/17/2022
Maximum norm a posteriori error estimates for convection-diffusion problems
We prove residual-type a posteriori error estimates in the maximum norm ...
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02/03/2022
A time dependent singularly perturbed problem with shift in space
We consider a singularly perturbed time dependent problem with a shift t...
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03/19/2021
Singularly perturbed reaction-diffusion problems as first order systems
We consider a singularly perturbed reaction diffusion problem as a first...
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03/12/2021
Anisotropic H_div-norm error estimates for rectangular H_div-elements
For the discretisation of H_div-functions on rectangular meshes there ar...
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08/02/2019