2021 CRM Summer School

Solving large systems efficiently in multiphysics numerical simulations

• Schedule (PDF)

Mini-course: Stationary methods and multiphysics (Felix Kwok and Hamdi Tchelepi)

• Summary (PDF)
• Lecture 1: Examples of multiphysics problems (PDF)
• Lecture 2: Fixed point methods (PDF)
• Lecture 3: Krylov methods (PDF)
• Lecture 4: Multiscale solver for flow and transport in porous media (PDF)
• Exercise session (with Éric Chamberland and Dave Martin):
  • Download MEF++ as a virtual machine. To open it, you will need an application such as the Oracle VM VirtualBox.
  • Exercise sheet (PDF)

Mini-course: Domain decomposition methods (Victorita Dolean)

• Summary (PDF)
• Lecture 1: An Introduction to Domain Decomposition Methods (PDF)
• Lecture 2: Two-level Domain Decomposition Methods (PDF)
• Lecture 3: Solvers for Time-harmonic Wave Propagation Problems (PDF)
• ffddm: Short Tutorial (HTML)
• Exercise session
  • Download FreeFEM++ v.4.9 here. Please make sure you have the latest version before you proceed.
  • Download the FFDDM code here (ZIP).
  • Download the Marmousi data file here.
  • Documentation for FFDDM
• Reference and source codes: An introduction to domain decomposition methods: algorithms, theory and parallel implementation, SIAM 2015.

Mini-course: Multigrid methods (Scott MacLachlan)

• Download slides and exercise sheets from Scott MacLachlan's GitHub repository

Invited speakers

• Julien Salomon
• Domain Decomposition and Optimal Control (PDF)
• Louis Poirel
• Solving Multiphysics Problems @ Michelin
• Andrea Franceschini
• Block Preconditioning for Multiphysics Applications (PDF)
• Carmen Rodrigo
• Monolithic Multigrid Solvers for Flow Problems in Porous Media (PDF)