83 citations · 462 across the 52 of their papers we have counts for
29 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…
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 , where…
Stable Liftings of Polynomial Traces on Tetrahedra
Charles Parker, Endre Süli
On the reference tetrahedron , we construct, for each , a right inverse for the trace operator $u \mapsto (u, \partial_{n} u, \ldots, \partial_{n}^k u)|_{\pa…
Stable Lifting of Polynomial Traces on Triangles
Charles Parker, Endre Süli
We construct a right inverse of the trace operator on the reference triangle that maps suitable piecewise polynomial d…
Adaptive iterative linearised finite element methods for implicitly constituted incompressible fluid flow problems and its application to Bingham fluids
Pascal Heid, Endre Süli
In this work, we introduce an iterative linearised finite element method for the solution of Bingham fluid flow problems. The proposed algorithm has the favourable property that a…