Finite Element Analysis using Condensation
About There is a very useful library that is able to solve Finite Element Analysis in Python. The name is…
kevin-tofu Equilibrium Analysis
About There are generally two methods for solving structural equilibrium analysis. One is solving for force equilibrium, and the other…
spsolve vs lsmr
About 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,…
Operation of Sparse Matrix in Scipy
About Under Construction https://docs.scipy.org/doc/scipy/reference/sparse.html The document says that Code Snippet Block Matrix Solve Linear Equation with lsmr lsmr solves the…
Comparison between Sparse Dense Matrix to Solve Linear Equation
Code Result N=10000 N=50000 N=10000000
Practice OpenMDAO
About In the last article(https://eye.kohei-kevin.com/2025/03/03/optimization-solver-ooenmdao/), I tested simple non linear optimization problem with a liner constraint. I tried other form…
Optimization Solver : OpenMDAO
About There are not many options for solving complex nonlinear optimization problems. When you want to try something out with…