@Article{JCM-21-113,
author = { Sang Dong Kim and Byeong Chun Shin },
title = {Explicit Bounds of Eigenvalues for Stiffness Matrices by Quadratic Hierarchical Basis Method},
journal = {Journal of Computational Mathematics},
year = {2003},
volume = {21},
number = {2},
pages = {113--124},
abstract = {<p style="text-align: justify;">The bounds for the eigenvalues of the stiffness matrices in the finite element discretization corresponding to $Lu := - u&#39;&#39; $ with zero boundary conditions by quadratic hierarchical basis are shown explicitly. The condition number of the resulting system behaves like $O(\frac{1}{h})$ where $h$ is the mesh size. We also analyze a main diagonal preconditioner of the stiffness matrix which reduces the condition number of the preconditioned system to $O(1)$.</p>},
issn = {1991-7139},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/jcm/8874.html}
}