15 citations · 16 across the 6 of their papers we have counts for
5 papers · 1 filter
Convergent numerical schemes for the viscoelastic Giesekus model in two dimensions
Endre Süli, Dennis Trautwein
In this work, we develop a class of stable and convergent numerical methods for the approximate solution of the viscoelastic Giesekus model in two space dimensions. The model coupl…
A minimax method for the spectral fractional Laplacian and related evolution problems
José A. Carrillo, Stefano Fronzoni, Yuji Nakatsukasa +1
We present a numerical method for the approximation of the inverse of the fractional Laplacian , based on its spectral definition, using rational functions to approximate…
Finite element approximation of stationary Fokker--Planck--Kolmogorov equations with application to periodic numerical homogenization
Timo Sprekeler, Endre Süli, Zhiwen Zhang
We propose and rigorously analyze a finite element method for the approximation of stationary Fokker--Planck--Kolmogorov (FPK) equations subject to periodic boundary conditions in…
Finite element appoximation and augmented Lagrangian preconditioning for anisothermal implicitly-constituted non-Newtonian flow
Patrick Farrell, Pablo Alexei Gazca Orozco, Endre Süli
We devise 3-field and 4-field finite element approximations of a system describing the steady state of an incompressible heat-conducting fluid with implicit non-Newtonian rheology.…
Mixed finite element approximation of periodic Hamilton--Jacobi--Bellman problems with application to numerical homogenization
Dietmar Gallistl, Timo Sprekeler, Endre Süli
In the first part of the paper, we propose and rigorously analyze a mixed finite element method for the approximation of the periodic strong solution to the fully nonlinear second-…