References for the Optimization Solvers
1.
A.R. Conn, K. Scheinberg, and L.N. Vicente,
Introduction to Derivative-Free Optimization
, MPS-SIAM Series on Optimization, SIAM, 2009.
2.
D. Lee, and M. Wiswall, “A Parallel Implementation of the Simplex Function Minimization Routine,”
Comput. Econ.
, vol. 30, pp. 171–187, 2007.
3.
M.J.D. Powell:
The BOBYQA algorithm for bound constraint optimization without derivatives
, Report DAMTP 2009/NA06, University of Cambridge, UK, 2009.
4.
M.J.D. Powell: “A direct search optimization method that models the objective and constraint functions by linear interpolation,”
Proc. Sixth Workshop on Optimization and Numerical Analysis
, vol. 275, pp. 51–67, Kluwer Academic Publishers, Dordrecht, NL, 1994.
5.
D.R. Jones, M. Schonlau, and W.J. Welch, “Efficient global optimization of expensive black-box functions,”
J.Glob. Optim.
, vol. 13, pp. 455-492, 1998.
6.
A. Wächter and T.B. Lorenz, “On the implementation of an interior-point filter line-search algorithm for large-scale nonlinear programming,”
Math. Program.
, vol. 106, no. 1, pp. 25–57, 2006.
7.
K. Svanberg,
MMA and GCMMA – Fortran versions March 2013
, KTH, Royal Institute of Technology, Stockholm, 2013.
8.
K.Svanberg, “The Method of Moving Asymptotes – a new Method for Structural Optimization,”
Int. J. Numer. Methods Eng.
, vol. 24, no. 2, pp. 369–373, 1987.
9.
K. Madsen, H.B. Nielsen, and O. Tingleff,
Methods for Non-Linear Least Squares Problems
, 2nd ed., 2004.
10.
R. Andreani, E.G. Birgin, J.M. Martinez, and M.L. Schuverdt, “On Augmented Lagrangian Methods with general lower-level constraints.,”
SIAM J. Optim.
, vol. 18, pp. 1286–1309, 2007.
Ref. 7
is available in
<
COMSOL_root
>/doc/pdf/Optimization_Module/gcmma.pdf
, where
<
COMSOL_root
>
is the root folder of your COMSOL installation.