65 citations · 111 across the 22 of their papers we have counts for
Showing 2023Show all
3 papers · 1 filter
math.NA2023★ 1 cited
A posteriori error estimates for nonconforming discretizations of singularly perturbed biharmonic operators
Dietmar Gallistl, Shudan Tian
For the pure biharmonic equation and a biharmonic singular perturbation problem, a residual-based error estimator is introduced which applies to many existing nonconforming finite…
math.NA2023
Localized implicit time stepping for the wave equation
Dietmar Gallistl, Roland Maier
This work proposes a discretization of the acoustic wave equation with possibly oscillatory coefficients based on a superposition of discrete solutions to spatially localized subpr…
math.NA2023★ 3 cited
Stability and guaranteed error control of approximations to the Monge--Ampère equation
Dietmar Gallistl, Ngoc Tien Tran
This paper analyzes a regularization scheme of the Monge--Ampère equation by uniformly elliptic Hamilton--Jacobi--Bellman equations. The main tools are stability estimates in the $…