@Article{JCM-21-689, author = { Sang Dong Kim, Byeong Chun Shin, Seokchan Kim and Gyungsoo Woo }, title = {Discrete Minus One Norm Least-Squares for the Stress Formulation of Linear Elasticity with Numerical Results}, journal = {Journal of Computational Mathematics}, year = {2003}, volume = {21}, number = {6}, pages = {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.
}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/8890.html} }