T. Alemán, M. Halla, C. Lehrenfeld, P. Stocker
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 21Recommendations 0
Are you one of the authors of this document?