That is the result of the project for the computational fluid dynamics discipline in a master's program. The project aimed to model the lid-driven cavity, and the heat conduction on plate problems, ...

In this paper, we discuss the finite volume element method of P₁-nonconforming quadrilateral element for elliptic problems and obtain optimal error estimates for ...

Abstract: We present the theory, algorithms and implementation of a parallel finite-volume algorithm for the solution of the incompressible magnetohydrodynamic (MHD) equations using unstructured grids ...

The finite volume method is used to solve the Navier-Stokes equations. The paper is divided into two distinct parts. The first part presents the discretization method for solving the diffusion and ...

Abstract: We present a finite volumes method to model and simulate the exposition of a biological cell to a nanosecond electric pulse in the view of electropermeabilization description. A quasi-static ...

SIAM Journal on Numerical Analysis, Vol. 50, No. 2 (2012), pp. 574-594 (21 pages) The coupling of the finite volume element method and the boundary element method is an interesting approach to ...

Finite volume methods (FVMs) represent a class of numerical techniques that are widely used in the discretisation of elliptic equations, ensuring local conservation of fluxes and often realising high ...

Since 1970, a new method has appeared which is currently enjoying real success, given its ease of implementation. This is the finite volume method, based on a different principle of equivalent ...

A class of upwind finite volume element method based on tetrahedron partition is put forward for a nonlinear convection diffusion problem. Some techniques, such as calculus of variations, commutating ...