Discrete Minus One Norm Least-Squares for the Stress Formulation of Linear Elasticity with Numerical Results
Year: 2003
Journal of Computational Mathematics, Vol. 21 (2003), Iss. 6 : pp. 689–702
Abstract
This paper studies the discrete minus one norm least-squares methods for the stress formulation of pure displacement linear elasticity in two dimensions. The proposed least-squares functional is defined as the sum of the $L^2-$ and $H^{-1}-$norms of the residual equations weighted appropriately. The minus one norm in the functional is replaced by the discrete minus one norm and then the discrete minus one norm least-squares methods are analyzed with various numerical results focusing on the finite element accuracy and multigrid convergence performances.
You do not have full access to this article.
Already a Subscriber? Sign in as an individual or via your institution
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2003-JCM-8890
Journal of Computational Mathematics, Vol. 21 (2003), Iss. 6 : pp. 689–702
Published online: 2003-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 14
Keywords: $H^{-1}$ least-squares Linear elasticity Multigrid method.