Summer school on DDM à Nice 2018

Laboratoire Dieudonné

19 to 21 of june 2018

 

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Sponsors :

List of speakers :

  • Gabriele Ciaramella (Genève)
  • Victorita Dolean (Nice)
  • Martin J. Gander (Genève)
  • Laurence Halpern (Paris XIII)
  • Felix Kwok (Hong Kong)
  • Veronique Martin (Amiens)
  • Roland Masson (Nice)
  • Tommaso Vanzan (Genève)


Timetable :


Tuesday 19 june
Wednesday 20 june Thursday 21 june

9:00-10:30 Felix Kwok
Veronique Martin
10:30-11:00 Coffee Break Coffee Break

11:00-12:30 Laurence Halpern
Tommaso Vanzan
12:30-14:00 Lunch Lunch
14:00-15:30 Martin Gander
14:00-16:00 TP1 (Tommaso Vanzan and Martin Gander)
TP2 (Gabriele Ciaramella and Victorita Dolean)
15:30-16:00 Coffee Break 16:00-16:30 Coffee Break
16:00-17:30 Gabriele Ciaramella
16:30-18:00 Roland Masson



Detailed program :

  • Gabriele Ciaramella Classical Schwarz Methods
    In this lecture, classical Schwarz methods are introduced and their convergence behavior discussed. Using a Fourier analysis the main convergence properties of these methods are presented. Moreover, some examples of modern applications of classical Schwarz methods are discussed underlying their unusual scalability in certain situations. If time permits, further classical techniques for convergence analysis, like maximum principle and orthogonal projection, will be treated.
  • Victorita Dolean
  • Martin J. Gander
  • Laurence Halpern Schwarz waveform relaxation and best approximation problem.
    For the heat equation, introduce rapidly the algorithm, give the behavior over long and short time intervals. Then define the complex best approximation problem in $\mathbb{P}_n$, and give details on the existence, uniqueness and approximation results, for the real and complex problems. I will show application to Robin and Ventcell transmission conditions.
  • Felix Kwok
  • Veronique Martin Heterogeneous Methods for Homogeneous Problems.
    In this talk we consider domain decomposition methods where different models are solved in different subdomains: we want to approximate a homogeneous object with different approximations with the aim to reduce the global cost. We will present a method based on the factorization of the operator, starting with a simple one dimensional case for advection reaction diffusion, then we will generalize to the space-time equation.
  • Roland Masson Heterogeneous Methods for drying problems.
    Robin Robin domain decomposition methods are discussed to solve the nonlinear coupling between liquid gas Darcy and free gas flow and transport. This type of drying models is of interest in various applications ranging from food processing, wood or paper production, salinization of agricultural land, prediction of convective heat and moisture transfer at exterior building surfaces, to the study of the mass and energy exchanges at the interface between a nuclear waste disposal and the ventilation galleries.
  • Tommaso Vanzan


Organizing Committee:

Victorita Dolean, Martin J. Gander, Stella Krell, Marie-Cécile Lafont, Roland Masson and Chiara Soresi.

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