Spectral multiscale finite element for nonlinear flows in highly heterogeneous media: A reduced basis approach

In this paper, we study multiscale finite element methods for Richards’ equation, a mathematical model to describe fluid flow in unsaturated and highly heterogeneous porous media. In order to compute solutions of Richard’s equation, one can use numerical homogenization or multiscale methods that use...

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Veröffentlicht in:	Journal of computational and applied mathematics 2014-04, Vol.260, p.494-508
Hauptverfasser:	Galvis, J., Ki Kang, S.
Format:	Artikel
Sprache:	eng
Schlagworte:	Basis functions Coarsening Construction Finite element method High contrast media Highly heterogeneous media Mathematical analysis Mathematical models Media Multiscale methods Nonlinear permeability Reduced basis
Online-Zugang:	Volltext
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