Library for minimizing functional

By mrcarlis at Tue, Oct 27 2009 6:52am |

Hi

I want to minimize a free energy functional
E=\int dxdydz f(x,y,z)

subject to certain constraints (its a GL free energy with phase winding in the system being the constraint)

Is there any library etc that will has such capabilities?

Best regards
Carlis

‹ Compiling and using a simple library with Xcode (a Levenburg-Marquardt optimizer) using ext2 and or ext3 filesystems from OS X ›

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Sat, 2009-10-31 11:21 — steja

library?

Without having more specific information about the function f, I fear the only library that can help you is the old-fashioned one, the one with the books inside.

Usually, minimizing the functional (i.e. doing \delta E / \delta r = 0) will give you a partial differential equation, whose exact form of course depends on what exactly f is. The constraints can be taken care of e.g. by using Lagrangian multipliers. But solving PDEs is a huge topic on its own.