4 papers
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 posteriori error bounds for finite element approximations of time-dependent mean field games
Iain Smears, Harry Wells
We present a posteriori error bounds for a general class of stabilized finite element approximations of time-dependent mean field games. We first show the equivalence between the n…
A posteriori error bounds for finite element approximations of steady-state mean field games
Yohance A. P. Osborne, Iain Smears, Harry Wells
We analyze a posteriori error bounds for stabilized finite element discretizations of second-order steady-state mean field games. We prove the local equivalence between the -n…
A High-order Arbitrary Lagrangian-Eulerian Virtual Element Method for Convection-Diffusion Problems
H. Wells
A virtual element discretisation of an Arbitrary Lagrangian-Eulerian method for two-dimensional convection-diffusion equations is proposed employing an isoparametric Virtual Elemen…