34 citations · 83 across the 11 of their papers we have counts for
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math.NA2016★ 17 cited
Scale-selective dissipation in energy-conserving finite element schemes for two-dimensional turbulence
Andrea Natale, Colin J. Cotter
We analyse the multiscale properties of energy-conserving upwind-stabilised finite element discretisations of the two-dimensional incompressible Euler equations. We focus our atten…
math.NA2016★ 34 cited
A variational H(div) finite element discretisation approach for perfect incompressible fluids
Andrea Natale, Colin J. Cotter
We propose a finite element discretisation approach for the incompressible Euler equations which mimics their geometric structure and their variational derivation. In particular, w…
cs.MS2016★ 24 cited
High level implementation of geometric multigrid solvers for finite element problems: applications in atmospheric modelling
Lawrence Mitchell, Eike Hermann Müller
The implementation of efficient multigrid preconditioners for elliptic partial differential equations (PDEs) is a challenge due to the complexity of the resulting algorithms and co…