Parameter Estimation with Covariance Analysis
Application ID: 119161
When estimating the parameters of a multiphysics model, both experimental noise and modeling uncertainties will contribute to corresponding uncertainties in the final parameters estimated. In this verification example, we demonstrate the new Variance functionality in the Parameter Estimation study. This functionality allows you to use experimental variance data as weights in a least-squares optimization, from which the the full parameter covariance matrix and the confidence intervals can be computed.
This model example illustrates applications of this type that would nominally be built using the following products:
however, additional products may be required to completely define and model it. Furthermore, this example may also be defined and modeled using components from the following product combinations:
- COMSOL Multiphysics® and
- Nonlinear Structural Materials Module and
- either the MEMS Module, or Structural Mechanics Module
The combination of COMSOL® products required to model your application depends on several factors and may include boundary conditions, material properties, physics interfaces, and part libraries. Particular functionality may be common to several products. To determine the right combination of products for your modeling needs, review the Specification Chart and make use of a free evaluation license. The COMSOL Sales and Support teams are available for answering any questions you may have regarding this.