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 (FVM) have become a cornerstone in the numerical treatment of partial differential equations, particularly those governing cross-diffusion and parabolic processes. These ...

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

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 ...