9 citations · 15 across the 4 of their papers we have counts for
5 papers
Convergence of a fully discrete variational scheme for a thin-film equation
Horst Osberger, Daniel Matthes
This paper is concerned with a rigorous convergence analysis of a fully discrete Lagrangian scheme for the Hele-Shaw flow, which is the fourth order thin-film equation with linear…
A fully discrete variational scheme for solving nonlinear Fokker-Planck equations in higher space dimensions
Oliver Junge, Daniel Matthes, Horst Osberger
We introduce a novel spatio-temporal discretization for nonlinear Fokker-Planck equations on the multi-dimensional unit cube. This discretization is based on two structural propert…
Long-time behaviour of a fully discrete Lagrangian scheme for a family of fourth order
Horst Osberger
A fully discrete Lagrangian scheme for solving a family of fourth order equations numerically is presented. The discretization is based on the equation's underlying gradient flow s…
A convergent Lagrangian discretization for a nonlinear fourth order equation
Daniel Matthes, Horst Osberger
A fully discrete Lagrangian scheme for numerical solution of the nonlinear fourth order DLSS equation in one space dimension is analyzed. The discretization is based on the equatio…
Convergence of a variational Lagrangian scheme for a nonlinear drift diffusion equation
Daniel Matthes, Horst Osberger
We study a Lagrangian numerical scheme for solution of a nonlinear drift diffusion equation on an interval. The discretization is based on the equation's gradient flow structure wi…