Nature

Finite Volume Methods for Cross-Diffusion and Parabolic Equations

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 ...
Nature

Finite Volume Methods for Diffusion Equations in Porous Media

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 ...
JSTOR Daily

COUPLING OF THE FINITE VOLUME ELEMENT METHOD AND THE BOUNDARY ELEMENT METHOD: AN A PRIORI CONVERGENCE RESULT

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 ...
JSTOR Daily

ADAPTIVE VERTEX-CENTERED FINITE VOLUME METHODS WITH CONVERGENCE RATES

SIAM Journal on Numerical Analysis, Vol. 54, No. 4 (2016), pp. 2228-2255 (28 pages) We consider the vertex-centered finite volume method with first-order conforming ansatz functions. The adaptive mesh ...