| Title:
|
Eigenvalues and eigenfunctions of the Laplace operator on an equilateral triangle for the discrete case
(English)
|
| Author:
|
Práger, Milan |
| Language:
|
English |
| Journal:
|
Applications of Mathematics |
| ISSN:
|
0862-7940 |
| Volume:
|
46 |
| Issue:
|
3 |
| Year:
|
2001 |
| Pages:
|
231-239 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
A discretized boundary value problem for the Laplace equation with the Dirichlet and Neumann boundary conditions on an equilateral triangle with a triangular mesh is transformed into a problem of the same type on a rectangle. Explicit formulae for all eigenvalues and all eigenfunctions are given. |
| Keyword:
|
discrete Laplace operator |
| Keyword:
|
discrete boundary value problem |
| Keyword:
|
eigenvalues |
| Keyword:
|
eigenfunctions |
| MSC:
|
35J05 |
| MSC:
|
35P10 |
| MSC:
|
35R10 |
| MSC:
|
65N06 |
| MSC:
|
65N25 |
| idZBL:
|
Zbl 1059.65101 |
| idMR:
|
MR1828307 |
| . |
| Date available:
|
2009-09-22T18:06:46Z |
| Last updated:
|
2012-05-06 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/134466 |
| . |
| Reference:
|
[1] M. Práger: Eigenvalues and eigenfunctions of the Laplace operator on an equilateral triangle.Appl. Math. 43 (1998), 311–320. MR 1627985 |
| . |
