6 citations · 18 across the 22 of their papers we have counts for
4 papers · 1 filter
Quasi-optimal Discontinuous Galerkin discretisations of the -Dirichlet problem
J. Blechta, P. A. Gazca-Orozco, A. Kaltenbach +1
The classical arguments employed when obtaining error estimates of Finite Element (FE) discretisations of elliptic problems lead to more restrictive assumptions on the regularity o…
Explicit a posteriori error representation for variational problems and application to TV-minimization
Sören Bartels, Alex Kaltenbach
In this paper, we propose a general approach for explicit a posteriori error representation for convex minimization problems using basic convex duality relations. Exploiting discre…
Error analysis for a Crouzeix-Raviart approximation of the variable exponent Dirichlet problem
Anna Kh. Balci, Alex Kaltenbach
In the present paper, we examine a Crouzeix-Raviart approximation of the -Dirichlet problem. We derive a error estimate, , a best-approxi…
Error analysis for a Crouzeix-Raviart approximation of the obstacle problem
Sören Bartels, Alex Kaltenbach
In the present paper, we study a Crouzeix-Raviart approximation of the obstacle problem, which imposes the obstacle constraint in the midpoints (i.e., barycenters) of the elements…