Augmented Lagrangian Method
Introduction The Extended Lagrangian Method is a technique for solving constrained optimization problems, especially those with equality and inequality constraints.…
kevin-tofu 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…
Download a File with wget thru Proxy Server
wget --proxy=on "https://www.something.a_file_you.want.zip" -O file.zip
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…
spsolve vs lsmr
Introduction When solving large-scale linear systems, computational efficiency and memory usage are critical considerations. Sparse matrices, which contain a significant…
How Sparse Matrix stores the Data
About Sparse matrix is good for representing a matrix that there are so many non-zero values. If we use it,…
Apply Schur Compliment to Force Equilibrium Equation
Force Equilibrium and Boundary Condition Oh, I found Blocks here! Schur Compliment Bring this to Our Case
Schur Complement
Block Matrix There are 2 Schur complement matrix is considered. and How we can convert original matrix? If is reqular,…