@misc{Costa_Ricardo_A,
 author={Costa, Ricardo and Machado, Gaspar J. and Clain, Stéphane},
 howpublished={online},
 publisher={Zielona Góra: Uniwersytet Zielonogórski},
 language={eng},
 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.},
 abstract={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.},
 type={artykuł},
 title={A sixth-order finite volume method for the 1D biharmonic operator: Application to intramedullary nail simulation},
 keywords={finite volume method, polynomial reconstruction operator, harmonic operator, biharmonic operator, high-order method},
}