Abstract: In this paper we present and analyse a coupled finite element-finite volume method for the numerical approximation of singularly perturbed convection-diffusion problems. The idea is to ...

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 ...

You do not have access to this resource. 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 ...

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 ...

Abstract: We present a novel application of a finite-volume technique to the numerical simulation of thermal convection within a rapidly rotating spherical shell. The performance of the method is ...

ABSTRACT: The solution of the Riemann Problem (RP) for the one-dimensional (1D) non-linear Shallow Water Equations (SWEs) is known to produce four potential wave patterns for the scenario where the ...

GP-FVM implements a fully probabilistic analogue of the popular Finite Volume Method (FVM) through affine Gaussian process (GP) inference. This is research code. As such, there is still room for ...