Numerical treatment of the vectorial equations of solar oscillations

                                
==Summary==

Driven by the challenging task of finding robust discretization methods for Galbrun's equation, we investigate conditions for stability and different aspects of robustness for different finite element schemes on a simplified version of the equations. The considered PDE is a second order indefinite vector-PDE which remains if only the highest order terms of Galbrun's equation are taken into account. A key property for stability is a Helmholtz-type decomposition which results in a strong connection between stable discretizations for Galbrun's equation and Stokes and nearly incompressible linear elasticity problems.

== Abstract ==
<pdf>Media:Draft_Sanchez Pinedo_357740873508_abstract.pdf</pdf>

== Full Paper ==
<pdf>Media:Draft_Sanchez Pinedo_357740873508_paper.pdf</pdf>