A-priori and a-posteriori higher order estimates in time for the arbitrary lagrangian euerian formulation in moving domains
Event details
| Date | 25.05.2011 |
| Hour | 16:15 |
| Speaker | Prof. Andrea Bonito |
| Location |
MA A110
|
| Category | Conferences - Seminars |
Arbitrary Lagrangian Eulerian (ALE) formulations arise naturally in the context of parametric representations of deformable domains. As an illustration, we first provide numerical simulations of red blood cell with emphasize on the need for ALE formulations, higher order methods, and a-posteriori error control in time.
Then, we present a discontinuous Galerkin methods in time for advectiondidiffusion problems on moving domains. This approach leads to unconditionally stable numerical schemes with optimal a-priori and a-posteriori error estimates. We also discuss the critical role of integration in time and give a sufficient condition for preserving the stability and the accuracy of the numerical schemes. The latter is a generalization of the Geometric Conservation Law.
This is joint work with I. Kyza and R.H. Nochetto.
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Practical information
- General public
- Free
Contact
- Jacques Rappaz