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Uncertainty of FEM Solutions Using a Nonlinear Least Squares Fit Method and a Design of Experiments Approach
Published
Author(s)
Jeffrey T. Fong, Nathanael A. Heckert, James J. Filliben, Pedro V. Marcal, Robert Rainsberger
Abstract
Uncertainty in COMSOL finite element simulations due to (a) mesh-induced truncation errors, and (b) model parameter uncertainties, is estimated using a nonlinear least squares logistic distribution fit method, and a design-of-experiments approach, respectively. Examples to illustrate both approaches are given using the COMSOL Structural Mechanics module (stress analysis of a wrench), the COMSOL RF module (application of an MRI RF coil design), and other general-purpose FEM software packages. Significance and limitations of both methods are presented and discussed.
Fong, J.
, Heckert, N.
, Filliben, J.
, Marcal, P.
and Rainsberger, R.
(2015),
Uncertainty of FEM Solutions Using a Nonlinear Least Squares Fit Method and a Design of Experiments Approach, Proceedings of 2015 COMSOL Users' Conference, Boston, MA, Oct. 7-9, 2015, Boston, MA, [online], https://tsapps.nist.gov/publication/get_pdf.cfm?pub_id=919592
(Accessed October 10, 2025)