TY - JOUR
T1 - Discrete Minus One Norm Least-Squares for the Stress Formulation of Linear Elasticity with Numerical Results
JO - Journal of Computational Mathematics
VL - 6
SP - 689
EP - 702
PY - 2003
DA - 2003/12
SN - 21
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jcm/8890.html
KW - $H^{-1}$ least-squares, Linear elasticity, Multigrid method.
AB - <p style="text-align: justify;">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.</p>