X-FEM/Data-driven/Fracture Mechanics
👏 Welcome to my personal blog, a dynamic space where I delve into the intricacies of various courses, offering my unique perspectives and interpretations.
✍️ This platform is not only a repository of essential concepts but also a reflection of my ongoing learning journey.
In this blog post, I provide the steps and code for my personal installation of the Conda environment, along with methods for installing FEniCS and FEniCSx, as well as my personal understanding of the installation process.
The first part of this blog is dedicated to the analysis of the stability for a pure 1-D unsteady convection equation, according to the temporal and spatial schemes used. The second part only explicits stability conditions for a 1-D convection-diffusion equation.
Two techniques to calculate gradient evaluation on unstructured grids (cell-centered colocated arrangment)
Iterative Solver and an overview of Domain Decomposition Methods
About linear solver, focused on the problems of large scale linear solver
-- Nicolas Chevaugeon
Finite-Volumes Method (FVM) was first introduced independantly by Mc Donald (1971) and Mc Cormack and Paullay (1972).
We introduce finite difference for 1D pure diffusion problem