| Autor: |
Costa Ricardo, Machado Gaspar J., Clain Stéphane |
| Jazyk: |
angličtina |
| Rok vydání: |
2015 |
| Předmět: |
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| Zdroj: |
International Journal of Applied Mathematics and Computer Science, Vol 25, Iss 3, Pp 529-537 (2015) |
| Druh dokumentu: |
article |
| ISSN: |
2083-8492 |
| DOI: |
10.1515/amcs-2015-0039 |
| Popis: |
A new very high-order finite volume method to solve problems with harmonic and biharmonic operators for onedimensional geometries is proposed. The main ingredient is polynomial reconstruction based on local interpolations of mean values providing accurate approximations of the solution up to the sixth-order accuracy. First developed with the harmonic operator, an extension for the biharmonic operator is obtained, which allows designing a very high-order finite volume scheme where the solution is obtained by solving a matrix-free problem. An application in elasticity coupling the two operators is presented. We consider a beam subject to a combination of tensile and bending loads, where the main goal is the stress critical point determination for an intramedullary nail. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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