Numerical Analysis of Time-Dependent Galbrun Equation in an Infinite Duct

Details Numerical Analysis of Time-Dependent Galbrun Equation in an Infinite Duct Numerical Analysis of Time-Dependent Galbrun Equation in an Infinite Duct

2006-03-22

arxiv.org/abs/math/0603546v1

Waves 2005 (2005) 6

Mathematics

Analysis of PDEs

Scientific paper

In this paper we are interested in the mathematical and numerical analysis of the time-dependent Galbrun equa- tion in a rigid duct. This equation models the acoustic propagation in presence of flow [1]. We propose a regu- larized variational formulation of the problem, in the sub- sonic case, suitable for an approximation by Lagrange finite elements, and corresponding absorbing boundary conditions.

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