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Uncertainty of FEM Solutions Using a Nonlinear Least Squares and Design of Experiments Approach

J. T. Fong [1], N. A. Heckert [1], J. J. Filliben [1], P. V. Marcal [2], R. Rainsberger [3]
[1] National Institute of Standards and Technology, Gaithersburg, MD, USA
[2] MPACT Corp., Oak Park, CA, USA
[3] XYZ Scientific Applications, Inc., Livermore, CA, USA
Veröffentlicht in 2015

Uncertainty in COMSOL Multiphysics® software simulations due to (a) model parameter uncertainties and (b) mesh-induced truncation errors, is estimated using a design-of-experiments approach [1, 2, 3], and a nonlinear least squares logistics fit method [4, 5], respectively. Examples to illustrate both approaches are given using the COMSOL RF Module (in an application of a MRI coil design) and the Structural Mechanics Module (in a stress analysis of a wrench). Significance and limitations of both methods are presented and discussed.

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