Augmented Lagrangian Method
About The Extended Lagrangian Method is a technique for solving constrained optimization problems, especially those with equality and inequality constraints.…
Physics
kevin-tofu Shape Optimization
About Shape optimization involves adjusting the outer boundary or surface of a structure to improve its performance while maintaining its…
SIMP Method
About In this article, I am going to summarize simple derivation of Topology Optimization. Topology Optimization and Force Equilibrium In…
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…
Equilibrium Analysis
About There are generally two methods for solving structural equilibrium analysis. One is solving for force equilibrium, and the other…
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