Boundary and Interior Approximation Errors in the Finite-Element Method

[+] Author and Article Information
I. Fried

Boston University, Department of Mathematics, Boston, Mass.

J. Appl. Mech 40(4), 1113-1117 (Dec 01, 1973) (5 pages) doi:10.1115/1.3423136 History: Received March 01, 1972; Revised March 01, 1973; Online July 12, 2010


Application of the finite-element method brings with it some perturbations in the original problem; either voluntary in order to simplify the analysis or inevitable due to the approximate nature of the method. Typically perturbed are the elastic, thermal, or inertia coefficients, the load function, the essential boundary conditions, and the domain. It is the purpose of this paper to estimate these errors.

Copyright © 1973 by ASME
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