Stability analysis of second ordr time accurate schemes for ALE-FEM

Keywords

Advanced Numerical Methods for Scientific Computing
SC4I/Digitization, Innovation, and Competitiveness of the Production System
Code:
MOX 22
Title:
Stability analysis of second ordr time accurate schemes for ALE-FEM
Date:
Friday 13th June 2003
Author(s):
Formaggia, Luca; Nobile, Fabio
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Abstract:
In this work we will introduce and analyze the Arbitrary Lagrangian Eulerian formulation for a model problem of a scalar advection diffusion equation defined on a moving domain. Moving from the results illustrated in our previous work of the same authors we will consider first and second order time advancing schemes and analyze how the movement of the domain might affect accuracy and stability properties of the numerical schemes with respect to their counterpart on fixed domains. Theoretical and numerical results will be presented, showing that stability properties are not, in general preserved while accuracy is maintained.
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Formaggia, L.; Nobile, F., Stability analysis of second order time accurate schemes for ALE-FEM , Comp. Meth. Appl. Mech. Engrg, 2004, 193, 4097-4116