Questions tagged [lagrange-multiplier]
The lagrange-multiplier tag has no usage guidance.
7
questions
5
votes
1
answer
361
views
The nitty-gritty details of augmented Lagrangian methods
I am trying to implement (constrained) minimization of a certain function with the augmented Lagrangian method. Where can I find a reference that discusses in detail the good practices for the various ...
- 11.1k
0
votes
0
answers
11
views
Estimating/Tuning a Coefficient from a Quadratic Programming Objective Function so Optimal Solution Reflects Data
I am working on a problem that is a modified version of a two-knapsack knapsack problem. I am able to find the optimal choices by using Gurobi. However, I would like to estimate a coefficient that is ...
2
votes
0
answers
78
views
How "kinematic" rigid bodies are implemented in physics engines
In most physics engines there's this concept of "static" bodies, which act as rigid bodies with infinite mass. Then there are "kinematic" bodies that act as static bodies, but ...
- 143
0
votes
0
answers
45
views
The condtion for Augmented Langrangian Multiplier
I am currently learning the usage of Augmented Lagrangian Multiplier to achieve my equality constraint. I have learnt from the https://en.wikipedia.org/wiki/Augmented_Lagrangian_method that I have two ...
3
votes
1
answer
346
views
Distributed Lagrange multiplier approach to impose constraint in Poisson equation
I'm trying to understand how Lagrange multipliers are applied in order to impose constraints in PDEs. Consider $B \subset \Omega$. For instance, a square inside another square domain $\Omega$. Let's ...
- 67
3
votes
1
answer
137
views
Applying displacement control loading using lagrange multipliers in the material non-linear finite element method
Hi I am trying to implement a simple plasticity based finite element code. I am not clear how to set up displacement control applied through Lagrange multipliers. In case of a linear problem, I did ...
2
votes
2
answers
276
views
inclined/general Dirichlet boundary conditions
For simpilcity, consider a single quad linear elasticity finite element in 2D. The Dirichlet boundary conditions on node 1 and node 2 are easy to implement and can be handled in the standard way. ...
- 668