Krylov Subspace
Problem Setting In many tasks, what we want to solve is linear system where This is the operator (matvec) setting.…
Physics
kevin-tofu Test Large Deformation in Structural Analysis
Introduction Large deformation refers to a state in which a material or structure undergoes changes in shape or size that…
Adjoint Analysis
Introduction The adjoint method is a technique that exploits the constraints imposed by the PDE (via the finite element method)…
Gridap-vs-Ngsolve-vs-Skfem
Introduction In the past, I compared computational cost between Skfem(Scikit-fem) and Ngsolve. Without doing experiments, I had already known the…
Cahn-Hillard with Gridap, Julia
Implementation
Phase-Field – Cahn–Hilliard –
Introduction There exists a modeling approach known as the phase-field method.It provides an effective way to represent interface motion and…
Apply Torque Load using Scikit-fem
Introduction This script solves a basic torsion problem using the finite element method.We model a vertical bar, fix its bottom…
Skfem-vs-Ngsolve
Code Pure-Python scikit-fem is highly flexible, stable, and very easy to work with. On the other hand, it may have…
Virtual Robin Condition in SIMP
Introduction As discussed in the previous article, in the density-based SIMP method it is not possible to impose a strict…
Added new feature for Heat Conduction Optimization
Introduction Scikit-fem is a lightweight and pure-Python finite element library designed for flexibility, transparency, and educational clarity. Unlike large compiled…