A new stability analysis for solving biharmonic equations by finite difference methods (Q2912679)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: A new stability analysis for solving biharmonic equations by finite difference methods |
scientific article; zbMATH DE number 6082931
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A new stability analysis for solving biharmonic equations by finite difference methods |
scientific article; zbMATH DE number 6082931 |
Statements
14 September 2012
0 references
stability analysis
0 references
condition number
0 references
finite difference method
0 references
biharmonic equation
0 references
effective condition number
0 references
numerical experiments
0 references
A new stability analysis for solving biharmonic equations by finite difference methods (English)
0 references
The authors study estimates for condition numbers, introduced by \textit{Z.-C. Li, C.-S. Chien} and \textit{H.-T. Huang} [Comput. Appl. Math. 198, No. 1, 208--235 (2007; Zbl 1104.65043)], for the finite difference solution of the biharmonic equation with mixed clamped and support boundary conditions. Upper bounds on the effective condition number and the simplest effective condition number are derived for the unit square, which provide improved stability of the method with respect to perturbations of the discretization and right-hand sides. A number of numerical experiments confirms the theoretical estimates for the condition numbers.
0 references
