New properties of 9-point finite difference solution of the Laplace equation (Q644603)
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: New properties of 9-point finite difference solution of the Laplace equation |
scientific article; zbMATH DE number 5968210
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | New properties of 9-point finite difference solution of the Laplace equation |
scientific article; zbMATH DE number 5968210 |
Statements
New properties of 9-point finite difference solution of the Laplace equation (English)
0 references
4 November 2011
0 references
The authors study new properties of 9-point finite difference solution of the Laplace equation. They analyze the classical 9-point scheme on square grids for the solution of the Dirichlet problem on rectangles when the given boundary conditions are from \(C^{5,1}\). Necessary differential properties of the exact solution are given. Two new properties of the 9-point solution are given. The numerical justification of the obtained error estimate is given.
0 references
finite difference method
0 references
nonsmooth solutions
0 references
Laplace equation
0 references
Dirichlet problem
0 references
error estimate
0 references
0 references
0 references
0 references
0 references
