GP-FVM: Probabilistic Finite Volume Method GP-FVM implements a fully probabilistic analogue of the popular Finite Volume Method (FVM) through affine Gaussian process (GP) inference. Concretely, we ...

This MATLAB project implements a Finite Volume Method (FVM) to solve the 2D Poisson equation (-\Delta u = f) with Dirichlet boundary conditions. It supports triangular meshes, computes numerical ...

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 ...

Abstract: This paper gives a proof of convergence for the approximate solution of an elliptic–hyperbolic system, describing the conservation of two immiscible incompressible phases flowing in a porous ...

Dynamic rupture of a 3-D spontaneous crack of arbitrary shape is investigated using a finite volume (FV) approach. The full domain is decomposed in tetrahedra whereas the surface, on which the rupture ...

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 ...

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 a preview. Log in through your library . Abstract In this paper we extend the idea of interpolated coefficients for a semilinear problem to the triangular finite volume element method. We ...