Solve FEM using Gridap with PETSc backend
Introduction In the previous article, I solved structural analysis with Gridap, which is contained Gridap tutorial, and showed result with…
Physics
kevin-tofu Solve Linear Elasticity Problem with Gridap
What is Gridap Gridap is a finite element library written entirely in Julia. It allows you to describe partial differential…
Geometric Nonlinearity in Finite Element Analysis
Introduction Structural Analysis in Finite Element Analysis is actually NOT represented as linear model in many cases. There are some…
Lagrangian and Hamiltonian
What is Lagrangian and Hamiltonian? These are able to handle a system in a unified way even in complex coordinate…
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…