Uncertainty of FEM Solutions Using a Nonlinear Least Squares Fit Method and a Design of Experiments Approach
Jeffrey T. Fong, Nathanael A. Heckert, James J. Filliben, Pedro V. Marcal, Robert Rainsberger
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.
, Heckert, N.
, Filliben, J.
, Marcal, P.
and Rainsberger, R.
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 December 4, 2023)