Digitale Medien
Chichester [u.a.]
:
Wiley-Blackwell
International Journal for Numerical Methods in Engineering
6 (1973), S. 529-542
ISSN:
0029-5981
Schlagwort(e):
Engineering
;
Engineering General
Quelle:
Wiley InterScience Backfile Collection 1832-2000
Thema:
Mathematik
,
Technik allgemein
Notizen:
For one-, two- and three-dimensional co-ordinate systems finite element matrices for the wave or Helmholtz equation are used to produce a single difference equation holding at any point of a regular mesh. Under homogeneous Dirichlet or Neumann boundary conditions, these equations are solved exactly. The eigenfunctions are the discrete form of sine or cosine functions and the eigenvalues are shown to be in error by a term of + O(h2n) where n is the order of the polynomial approximation of the wave function. The solutions provide the means of testing computer programs against the exact solutions and allow comparison with other difference schemes.
Zusätzliches Material:
8 Ill.
Materialart:
Digitale Medien
URL:
http://dx.doi.org/10.1002/nme.1620060409
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