Lagrangian and Hamiltonian
What is Lagrangian and Hamiltonian? These are able to handle a system in a unified way even in complex coordinate…
Physics
kevin-tofu Solve Linear Equations with spsolve and Joblib
About This article demonstrates how to efficiently solve multiple large, sparse linear systems in Python using scipy.sparse.linalg.spsolve for individual solutions…
Gauss–Legendre Integration In FEA
About In the Finite Element Method (FEM), we often need to compute integrals over each element, for example when assembling…
Python library for topology optimization built on top of Scikit
Python library for topology optimization built on top of Scikit Libraries About I implemented topology optimization based on Scikit and…
Optimality Criteria (OC) Method
Introduction Topology optimization is a technical field that involves deforming shapes while maximizing physical properties. For example, it is used…
Augmented Lagrangian Method
Introduction The Extended Lagrangian Method is a technique for solving constrained optimization problems, especially those with equality and inequality constraints.…
Shape Optimization
Introduction Shape optimization involves adjusting the outer boundary or surface of a structure to improve its performance while maintaining its…
SIMP Method
Introduction In this article, I am going to summarize simple derivation of Topology Optimization. Topology Optimization and Force Equilibrium In…
Finite Element Analysis using Condensation
Introduction There is a very useful Python library for solving Finite Element Analysis (FEA) problems: Scikit-FEM.It is much more elegant…
Equilibrium Analysis
Introduction There are generally two methods for solving structural equilibrium analysis. One is solving for force equilibrium, and the other…