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EnglishThe line element-less method is an efficient approach for the approximate solution of the Laplace or biharmonic equation on a general bidimensional domain.Introducing generalized harmonic polynomials as approximation functions, we extend the line element-less method to the inhomogeneous Helmholtz equation and to the eigenvalue problem for the Helmholtz equation. The obtained approximate solutions are critically discussed and advantages as well as limitations of the approach are pointed out.
Pirrotta A., & Proppe C. (2020). Extension of the line element-less method to dynamic problems. MECCANICA, 55(4), 745-750.
| Data di pubblicazione: | 2020 |
| Titolo: | Extension of the line element-less method to dynamic problems |
| Autori: | |
| Citazione: | Pirrotta A., & Proppe C. (2020). Extension of the line element-less method to dynamic problems. MECCANICA, 55(4), 745-750. |
| Rivista: | |
| Digital Object Identifier (DOI): | http://dx.doi.org/10.1007/s11012-019-01120-1 |
| Abstract: | The line element-less method is an efficient approach for the approximate solution of the Laplace or biharmonic equation on a general bidimensional domain.Introducing generalized harmonic polynomials as approximation functions, we extend the line element-less method to the inhomogeneous Helmholtz equation and to the eigenvalue problem for the Helmholtz equation. The obtained approximate solutions are critically discussed and advantages as well as limitations of the approach are pointed out. |
| Settore Scientifico Disciplinare: | Settore ICAR/08 - Scienza Delle Costruzioni |
| Appare nelle tipologie: | 1.01 Articolo in rivista |
File in questo prodotto:
| File | Descrizione | Tipologia | Licenza | |
|---|---|---|---|---|
| meccanica R1 (2).pdf | Pre-print | Open Access Visualizza/Apri | ||
| Pirrotta-Proppe2020_Article_ExtensionOfTheLineElement-less.pdf | Versione Editoriale | Administrator Richiedi una copia |
http://hdl.handle.net/10447/409442
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