Year: 2003
Journal of Computational Mathematics, Vol. 21 (2003), Iss. 2 : pp. 113–124
Abstract
The bounds for the eigenvalues of the stiffness matrices in the finite element discretization corresponding to $Lu := - u'' $ 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 $O(1)$.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2003-JCM-8874
Journal of Computational Mathematics, Vol. 21 (2003), Iss. 2 : pp. 113–124
Published online: 2003-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 12
Keywords: hierarchical basis multilevel.