Krylov Subspace
Problem Setting In many tasks, what we want to solve is linear system where This is the operator (matvec) setting.…
Signalprocessing
kevin-tofu 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…
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…
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…
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…
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