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IMA Journal of Applied Mathematics Advance Access originally published online on November 6, 2008
IMA Journal of Applied Mathematics 2008 73(6):837-849; doi:10.1093/imamat/hxn031
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© The Author 2008. Published by Oxford University Press on behalf of the Institute of Mathematics and its Applications. All rights reserved.

A nodal spectral stiffness matrix for the finite-element method

Marco L. Bittencourt{dagger} and Thais G. Vazquez

Department of Mechanical Design, Faculty of Mechanical Engineering, State University of Campinas, PO Box 6122, 13083-970 Campinas, São Paulo, Brazil

{dagger} Email: mlb{at}fem.unicamp.br

Received on September 29, 2006; Accepted on August 21, 2008

In this paper, shape functions are proposed for the spectral finite-element method aiming to finding a nodal spectral stiffness matrix. The proposed shape functions obtain a nearly diagonal 1D stiffness matrix with better conditioning than using the Lagrange and Jacobi bases.

Keywords: finite-element method; spectral stiffness matrix; Gauss–Lobatto quadrature.


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