Costa, Ricardo ; Machado, Gaspar J. ; Clain, Stéphane
Contributor:Byrski, Aleksander - ed. ; Kisiel-Dorohinicki, Marek - ed. ; Dobrowolski, Grzegorz - ed.
Title: Subtitle: Group publication title: Subject and Keywords:finite volume method ; polynomial reconstruction operator ; harmonic operator ; biharmonic operator ; high-order method
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
Date: Resource Type: DOI: Pages: Source:AMCS, volume 25, number 3 (2015) ; click here to follow the link
Language: License CC BY 4.0: Rights: