Exact code scaling
| Autor: | M Makai, M Antal |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2008 |
| Předmět: | |
| Zdroj: | International Journal of Multiphysics, Vol 2, Iss 3 (2008) |
| Druh dokumentu: | article |
| ISSN: | 1750-9548 2048-3961 |
| DOI: | 10.1260/175095408786927453 |
| Popis: | A new possibility of code scaling is introduced. We show that there are notextreme volumes over which some equations of mathematical physicshave the same eigenvalues and there exists a simple transplantation rule toget the eigenfunction of the first volume once that of the second volume isknown. We present two techniques. In the first, the domain of thenumerical method is a discretized volume. Congruent elements are gluedtogether to get the domain over which the solution is sought. We associatea group and a graph to that volume. When the group is a symmetry of theboundary value problem, one can specify the structure of the solution, andpredict the existance of other equispectral volumes. The second techniqueuses a complex mapping to transplant the solution from volume V1 tovolume V2 and a correction function. Equation for the correction function isgiven. A simple example demonstrates the feasibility of the suggestedmethod. We show that a measurement associated with the fundamentaleigenfunction of a linear operator on a volume is sufficient to predict resultsof a measurement on another volume by a computer program. |
| Databáze: | Directory of Open Access Journals |
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