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Bjorn Sjodin, VP of Applications
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BURLINGTON, MA (October 23, 2006)-The Optimization Lab from COMSOL adds
best-in-class optimization codes geared at computationally intensive FEA
(finite element analysis) and multiphysics problems. With this tool it is
now easy to perform the large-scale optimization of problems in areas
ranging from traditional engineering disciplines such as structural
mechanics and chemical engineering to emerging technologies such as
bioengineering and MEMS. This simulation tool includes powerful optimization
solvers based on the highly respected and widely used SNOPT and SQOPT
codes developed by Philip Gill from the University of California at San
Diego along with Walter Murray and Michael Saunders from Stanford University.
An additional solver routine automatically chooses the best solver type
for the user-specified optimization problem.
Users access the optimization functions through an interactive programming interface. Here they provide a vector of parameters and a set of arbitrary constraints along with a single quantity to optimize. The function describing this quantity can be a simple algebraic expression, any computable function of a group of parameters, or an FEA model of any physics phenomena.
The Optimization Lab includes solvers for the following constrained problems:
It also contains the Nelder-Mead search algorithm for unconstrained nonlinear optimization, which is also well suited to handle non-smooth objective functions.
By using the Optimization Lab together with other members of the COMSOL® product family, engineers and scientists can perform optimization of time- and space-dependent problems based on single-physics and multiphysics applications. The Optimization Lab is also fully integrated with the COMSOL Script™ environment, which provides an open and extensible scripting tool for further technical computing, data analysis, and visualization.
A number of examples detailing different applications for optimization supplement the Optimization Lab. In chemistry, you often do not know the final equilibrium state and composition of a reacting mixture although you do have an overall material balance. By minimizing the mixture´s total free energy of the participating species, you can then find this final composition. Another example examines a gear/shaft assembly that has been fastened through thermal interference. Treating this as an inverse model in the Optimization Lab, it is possible to determine the critical spinning frequency at which the gear and shaft will separate and thus specify safe operating conditions for the assembly. A multiple-parameter fitting example shows how this product is very useful in creating accurate SPICE models of electrical components from experimental data or from sophisticated COMSOL Multiphysics simulations.
COMSOL and FEMLAB are registered trademarks of COMSOL AB. COMSOL Multiphysics,
COMSOL Script, and COMSOL Reaction Engineering Lab are trademarks of COMSOL AB.
Other product or brand names are trademarks or registered trademarks of their
respective holders.