6 papers · 1 filter
The Effect of Quadrature on the Convergence of Policy Iteration for Hamilton-Jacobi-Bellman Equations
Thomas Hall, Iain Smears, Endre Süli +1
Modern finite element libraries allow users to express partial differential equations directly in variational form, with the added convenience of automatic quadrature selection. In…
A nonnegativity-preserving finite element method for a class of parabolic SPDEs with multiplicative noise
Ana Djurdjevac, Claude Le Bris, Endre Süli
We consider a prototypical parabolic SPDE with finite-dimensional multiplicative noise, which, subject to a nonnegative initial datum, has a unique nonnegative solution. Inspired b…
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…
Stability of high-order Scott-Vogelius elements for 2D non-Newtonian incompressible flow
Charles Parker, Endre Süli
We consider the stability of high-order Scott-Vogelius elements for 2D non-Newtonian incompressible flow problems. For elements of degree 4 or higher, we construct a right-inverse…
Finite Element Approximation of the Fractional Porous Medium Equation
José A. Carrillo, Stefano Fronzoni, Endre Süli
We construct a finite element method for the numerical solution of a fractional porous medium equation on a bounded open Lipschitz polytopal domain , wher…
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 approximat…