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M04   Domain decomposition methods motivated by the physics of the underlying problem

Organizers

Abstract

Domain decomposition methods are a powerful tool to handle very large systems of equations. They can however also be used to couple different physical models or approximations, which one might want to do for various reasons: in fluid structure coupling for example, the physical laws in the fluid differ from the physical laws in the structure, and a domain decomposition method could naturally take this into account. Even if the physical model is the same, one might want to use a simplified equation in part of the domain, where certain effects are negligible, like for example in aerodynamics, to save computation time. Or one could simply want to use a much coarser mesh, like in combustion away from the flame front, which again could be taken naturally into account by a domain decomposition method that can handle non-matching grids, possibly in space and time.

The speakers in this minisymposium present recent research results covering the wide aspects of domain decomposition methods motivated by the physics of the underlying problem. Topics include Schwarz waveform relaxation methods with moving meshes, optimized transmission conditions and non-matching grids, coupling of advection and advection diffusion problems, optimized transmission conditions for the Schroedinger equation and domain decomposition methods in micro-magnetics.

List of speakers

Tue, 4 July, Room: B2
Chair: Laurence Halpern

M04-1 16:00-16:25 Caroline Japhet:
Coupling of heterogeneous advection-diffusion problems with an Optimized Schwarz Waveform Relaxation method and nonconforming time discretisation
M04-2 16:30-16:55 Ronald Haynes:
Towards a Schwarz Waveform Moving Mesh Solver
M04-3 17:00-17:25 Kévin Santugini:
Challenges of applying domain decompostion methods to micromagnetism
M04-4 17:30-17:55 Francois-Xavier Roux:
Approximate optimal interface conditions for fluid structure coupling in vibro-acoustics
M04-5 18:00-18:25 Jeremie Szeftel:
Optimized and Quasi-Optimal Schwarz Waveform Relaxation for the One Dimensional Schrödinger equation

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