Object
Title: A sixth-order finite volume method for the 1D biharmonic operator: Application to intramedullary nail simulation
Contributor:
Byrski, Aleksander - ed. ; Kisiel-Dorohinicki, Marek - ed. ; Dobrowolski, Grzegorz - ed.
Subtitle:
Group publication title:
Abstract:
A new very high-order finite volume method to solve problems with harmonic and biharmonic operators for one-dimensional 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.
Publisher:
Zielona Góra: Uniwersytet Zielonogórski
Resource Identifier:
DOI:
Pages:
Source:
AMCS, volume 25, number 3 (2015) ; click here to follow the link
Language:
Rights:
Biblioteka Uniwersytetu Zielonogórskiego
Object collections:
- Digital Library of Zielona Góra > Repository > Faculties > Faculty of Computer, Electrical and Control Engineering
- Digital Library of Zielona Góra > Repository > Types of work > Articles
- Digital Library of Zielona Góra > Repository > Scientific journals and UZ publishing series > International Journal of Applied Mathematics and Computer Science (AMCS) > International Journal of Applied Mathematics and Computer Science (AMCS) (2015)
Last modified:
May 2, 2024
In our library since:
May 2, 2024
Number of object content hits:
9
All available object's versions:
https://zbc.uz.zgora.pl/publication/88898
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International Journal of Applied Mathematics and Computer Science (AMCS)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 26 (2016)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 25 (2015)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 25, number 1 (2015)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 25, number 2 (2015)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 25, number 3 (2015)
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- A sixth-order finite volume method for the 1D biharmonic operator: Application to intramedullary nail simulation
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 26 (2016)
| Edition name | Date |
|---|---|
| A sixth-order finite volume method for the 1D biharmonic operator: Application to intramedullary nail simulation | May 2, 2024 |
