3 papers
math.NA2013
Mimetic Spectral Element advection
Artur Palha, Pedro Pinto Rebelo, Marc Gerritsma
We present a discretization of the linear advection of differential forms on bounded domains. The framework previously established is extended to incorporate the Lie derivative, $\…
math.NA2013
Physics-compatible discretization techniques on single and dual grids, with application to the Poisson equation of volume forms
Artur Palha, Pedro Pinto Rebelo, René Hiemstra +2
This paper introduces the basic concepts for physics-compatible discretization techniques. The paper gives a clear distinction between vectors and forms. Based on the difference be…
math.NA2013
Mixed Mimetic Spectral Element method applied to Darcy's problem
Pedro Pinto Rebelo, Artur Palha, Marc Gerritsma
We present a discretization for Darcy's problem using the recently developed Mimetic Spectral Element Method. The gist lies in the exact discrete representation of integral relatio…