Physics-compatible discretization techniques on single and dual grids, with application to the Poisson equation of volume forms

Author:

Palha Artur,Rebelo Pedro Pinto,Hiemstra René,Kreeft Jasper,Gerritsma Marc

Publisher

Elsevier BV

Subject

Computer Science Applications,Physics and Astronomy (miscellaneous),Applied Mathematics,Computational Mathematics,Modeling and Simulation,Numerical Analysis

Reference52 articles.

1. Finite element exterior calculus, homological techniques, and applications;Arnold;Acta Numer.,2006

2. Finite element exterior calculus: from Hodge theory to numerical stability;Arnold;Bull. Am. Math. Soc.,2010

3. P B Bochev, A discourse on variational and geometric aspects of stability of discretizations, Technical Report, 33rd Computational Fluid Dynamics Lecture Series, VKI LS 2003-05, Von Karman Institute for Fluid Dynamics, Chaussee de Waterloo, 72, B-1640 Rhode Saint Genese, Belgium, 2005.

4. Principles of mimetic discretizations of differential operators;Bochev;IMA Vol. Math. Appl.,2006

5. J. Bonelle, A. Ern, Analysis of compatible discrete operator schemes for elliptic problems on polyhedral meshes. hal-00751284, version 2, 2012, pp. 1–27.

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