Finite volume methods (FVM) have emerged as a crucial numerical framework for approximating diffusion equations in porous media. These schemes discretise the governing partial differential equations ...

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 ...

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 ...

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 ...

This is an informal GitHub organization around the finite volume method (FVM) for numerical modeling of (simple) transport phenomena and the software tools that enable this. Compared to finite ...

ABSTRACT: Chronic renal failure is a disease that affects a considerable population percentage that requires the hemodialysis procedure which is a blood filtration. This process is extremely stressful ...

Abstract: In this research, we present two Numerical algorithms for studying the dynamics of spatially extended coupled nonlinear reaction-diffusion model. The difference in this work is to model a ...

Abstract: In this article, to explore the efficiency and precision of the 3-D finite volume method (FVM) for the logging while drilling (LWD) ultradeep resistivity measurements, we compared four ...

This is a preview. Log in through your library . Abstract This paper is concerned with superconvergence properties of a class of finite volume methods of arbitrary order over rectangular meshes. Our ...