15 citations · 16 across the 6 of their papers we have counts for
6 papers
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…
Existence and uniqueness of global weak solutions to strain-limiting viscoelasticity with Dirichlet boundary data
Miroslav Bulíček, Victoria Patel, Yasemin Şengül +1
We consider a system of evolutionary equations that is capable of describing certain viscoelastic effects in linearized yet nonlinear models of solid mechanics. The essence of the…
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-…