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20112024
most citedA mass, energy, enstrophy and vorticity conserving (MEEVC) mimetic spectral element discretization for the 2D incompressible Navier-Stokes equations

79 citations · 287 across the 19 of their papers we have counts for

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Showing 2017 · math.NAShow all

2 papers · 2 filters

math.NA2017

Construction and application of algebraic dual polynomial representations for finite element methods on quadrilateral and hexahedral meshes

Varun Jain, Yi Zhang, Artur Palha +1

Given a sequence of finite element spaces which form a de Rham sequence, we will construct a dual representation of these spaces with associated differential operators which connec…

math.NA2017★ 25 cited

Discrete conservation properties for shallow water flows using mixed mimetic spectral elements

David Lee, Artur Palha, Marc Gerritsma

A mixed mimetic spectral element method is applied to solve the rotating shallow water equations. The mixed method uses the recently developed spectral element histopolation functi…