T. Alemán Author informationGeorg-August-Universität Göttingen , M. Halla Author informationMax-Planck-Institut für Sonnensystemforschung , C. Lehrenfeld Author informationContact: lehrenfeld@math.uni-goettingen.de , P. Stocker Author informationContact: p.stocker@math.uni-goettingen.de
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.
Keywords:
Published on 24/11/22Accepted on 24/11/22Submitted on 24/11/22
Volume Computational Applied Mathematics, 2022DOI: 10.23967/eccomas.2022.206Licence: CC BY-NC-SA license
Views 37Recommendations 0
Are you one of the authors of this document?