The condition of the least‐squares finite element matrices

descriptionPublicationkeyboard_double_arrow_right Article 03 Nov 2015 English Publisher:WileyJournal:International Journal for Numerical Methods in Engineering, volume 106, pages 760-770 (issn: 0029-5981, eissn: 1097-0207,

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Authors: Fried, Isaac;

doi: 10.1002/nme.5146

The condition of the least‐squares finite element matrices

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Abstract

SummaryA universal, practical, a priori, numerical procedure is presented by which to realistically bind the spectral condition number of the global stiffness matrix generated by the finite element least‐squares method. The procedure is then applied to second and fourth‐order problems in one and two dimensions to show that the condition of the global stiffness matrix thus generated is, in all instances, proportional to but the diameter of the element squared. Copyright © 2015 John Wiley & Sons, Ltd.

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Boston University
United States

Keywords

Numerical computation of matrix norms, conditioning, scaling, hydrodynamics, finite element methods, differential equations, Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, Numerical solution of discretized equations for boundary value problems involving PDEs, structures

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