[FreeFEM 11] Domain decomposition and high-performance finite element simulations

Domain decomposition is a powerful technique used in high-performance computing to solve large-scale problems. It involves dividing a complex computational domain into smaller, more manageable subdomains that can be solved independently. In the context of finite element simulations, domain decomposition is often used to speed up the solution of large-scale problems by distributing the workload across multiple processors or nodes. FreeFEM integration with PETSc (about which we talked in the 9th video of this series) and HPDDM (high-performance domain decomposition methods) library provides a powerful platform for high-performance finite element simulations that can efficiently solve large-scale problems on modern HPC architectures.

Codes, models, and resources:
You can find all the codes and models required to follow the videos and reproduce the output, grouped for different episodes, at http://tuxriders.com/videos/freefem/ and https://github.com/TuxRiders/freefem-...

💡 Finite element series, in which a single problem was solved in different open-source tools including FreeFEM    • Introduction to finite element modeling  
💡 Applied numerical computing series, in which the underlying theories of these videos are discussed:    • Introduction to applied numerical modeling  

Topics covered:
🎯 Mesh and graph partitioning
🎯 Mesh partitioning tools in FreeFEM
🎯 Building overlapping mesh using macro_ddm
🎯 Visualizing partitioned mesh in ParaView using Multi-block Inspector
🎯 Solving PDEs in parallel using PETSc and overlapping mesh partitioning

Lecturer: Mojtaba Barzegari https://mbarzegary.github.io/

To learn more about the goals of the TuxRiders project, please visit our website at http://tuxriders.com.

Chapters in this video!
################
00:00 - Intro
02:24 - Mesh partitioning using METIS
06:02 - Overlapping mesh partitioning
11:30 - Visualizing overlapping mesh in ParaView
13:51 - Solving a diffusion problem in parallel