Mathematical approaches for numerically solving partial differential equations. The focus will be (a) iterative solution methods for linear and non-linear equations, (b) spatial discretization and ...

Research from all publishers Recent developments in the application of finite volume methods for diffusion in porous media have focused on enhancing both accuracy and computational flexibility.

This paper develops the finite volume element (FVE) method, which is similar to the so-called control volume finite element method but tailored to composite grid applications.

In this article we define a surface finite element method (SFEM) for the numerical solution of parabolic partial differential equations on hypersurfaces Γ in ℝn+1. The key idea is based on the ...