We investigate about the stability of Semi-Lagrangian schemes when finite-element type reconstructions are used. This choice leads to a scheme whose stability cannot be characterized by means of the classical Fourier analysis. In the paper, we propose a technique to estimate eigenvalues of the scheme in the case of a uniform mesh, and extend it to some situation of non-uniform spacing. The explicit computation is carried out for the P2 case.
Ferretti, R., Perrone, G. (2007). On the stability of semi-Lagrangian advection schemes under finite element interpolation. In Applied and industrial mathematics in Italy II (pp.339-350). SINGAPORE : World Scientific Publishing Co..
On the stability of semi-Lagrangian advection schemes under finite element interpolation
FERRETTI, Roberto;
2007-01-01
Abstract
We investigate about the stability of Semi-Lagrangian schemes when finite-element type reconstructions are used. This choice leads to a scheme whose stability cannot be characterized by means of the classical Fourier analysis. In the paper, we propose a technique to estimate eigenvalues of the scheme in the case of a uniform mesh, and extend it to some situation of non-uniform spacing. The explicit computation is carried out for the P2 case.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
