Questions tagged [lagrange-multiplier]

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SQP lambda update

In Sequential Quadratic Programming the surface of some function $f$ to be optimized under some active constraints $\mathbf{h}$ is locally approximated using a quadratic surface. Newton on KKT ...
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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 ...
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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. ...