[libROM tutorial] Poisson equation & its finite element discretization |

This is the first video of the libROM tutorial series. This video describes the Poisson equation and the corresponding derivation of a weak form. The weak form then is used to derive a finite element formulation. At the end, a linear system of equation is derived.

libROM is a software package for reduced order models. It can be cloned from the following gitHub page:

https://github.com/LLNL/libROM

The related poisson code to this specific video can be found in:

https://github.com/LLNL/libROM/blob/m...

The webpage for libROM is available at https://www.librom.net

A list of libROM tutorials:

1. Poisson equation & its finite element discretization (    • [libROM tutorial] Poisson equation & its f...   )
2. Projection-based reduced order model for Poisson equation (    • [libROM tutorial] Projection-based reduced...   )
3. Physics-informed sampling method for reduced order models (    • [libROM tutorial] Physics-informed samplin...   )
4. Local reduced order models and interpolation-based parameterization (    • [libROM tutorial] Local reduced order mode...   )
5. Projection-based reduced order model for nonlinear system (    • [libROM tutorial] Projection-based reduced...   )
6. A complete derivation of dynamic mode decomposition (    • [libROM tutorial] A complete derivation of...   )