Autor:
Costa, Ricardo ; Machado, Gaspar J. ; Clain, Stéphane
Współtwórca:
Byrski, Aleksander - ed. ; Kisiel-Dorohinicki, Marek - ed. ; Dobrowolski, Grzegorz - ed.
Tytuł:
Podtytuł:
Tytuł publikacji grupowej:
Temat i słowa kluczowe:
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.
Wydawca:
Zielona Góra: Uniwersytet Zielonogórski
Typ zasobu:
DOI:
Strony:
Źródło:
AMCS, volume 25, number 3 (2015) ; kliknij tutaj, żeby przejść