The condition of the least‐squares finite element matrices |
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Authors: | Isaac Fried |
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Affiliation: | Department of Mathematics, Boston University, Boston, USA |
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Abstract: | A 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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Keywords: | finite element methods differential equations structures hydrodynamics |
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