[libROM tutorial] Poisson equation & its finite element discretization | #tutorial #FEM #ROM #MOR

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...   )