7
votes
Accepted
The nitty-gritty details of augmented Lagrangian methods
My favorite reference on this is Constrained Optimization and Lagrange Multiplier Methods by Bertsekas.
It's a little old (1982) but I haven't seen any other reference that describes many of the ...
- 10.4k
3
votes
inclined/general Dirichlet boundary conditions
Bill Greene presents the point of view of how things have been done traditionally. The "modern" way is to add "constraints" to your linear system which, in the current case, would ...
- 56.2k
3
votes
Accepted
inclined/general Dirichlet boundary conditions
The traditional way to handle this type of boundary condition is to
create a transformed coordinate system at node 3 so that one of its axes
is along the direction you want to constrain. You use the
...
- 6,269
2
votes
Is there existing code for solving a Lagrangian Dual problem using the subgradient method?
One example of this would be the DSP software package developed at Argonne National Labs:
https://github.com/Argonne-National-Laboratory/DSP
- 19k
2
votes
Applying displacement control loading using lagrange multipliers in the material non-linear finite element method
The addition of the Lagrange multiplier term is an unnecessary complication in this case, so let's just consider the simpler root finding problem
$$
F(u) = \frac12 u^TK(u)u - fu = 0.
$$
Your ...
- 56.2k
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