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MOOSEFinite element frameworkINLopen source   
DakotaInterface between analysis codesSandiapublic downloads availableWindows, Linux, Mac OS Xhttps://dakota.sandia.gov/content/dakota-source-code 

 

Dakota: Large-Scale engineering optimization and uncertainty analysis
https://dakota.sandia.gov/

About (from their website):

The Dakota toolkit provides a flexible, extensible interface between analysis codes and iterative systems analysis methods. Dakota contains algorithms for:

  • optimization with gradient and nongradient-based methods;
  • uncertainty quantification with sampling, reliability, stochastic expansion, and epistemic methods;
  • parameter estimation with nonlinear least squares methods; and
  • sensitivity/variance analysis with design of experiments and parameter study methods.

These capabilities may be used on their own or as components within advanced strategies such as hybrid optimization, surrogate-based optimization, mixed integer nonlinear programming, or optimization under uncertainty.

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