We present Finite Volume methods for diffusion equations on generic meshes, that received
important coverage in the last decade or so. After introducing the main ideas and …

We present two new cell-centered nonlinear finite-volume methods for the heterogeneous,
anisotropic diffusion problem. The schemes split the interfacial flux into harmonic and …

This book presents a systematic methodology for the development of parallel multi-physics
models and its implementation in geophysical and biomedical applications. The …

We present a new fully-implicit, mixed-hybrid, finite-element (MHFE) discretization scheme
for general-purpose compositional reservoir simulation. The locally conservative scheme …

We present a new nonlinear monotone finite volume method for diffusion equation and its
application to two-phase flow model. We consider full anisotropic discontinuous diffusion or …

In the present work, we deal with the convergence of cell-centered nonlinear finite volume
schemes for anisotropic and heterogeneous diffusion operators. A general framework for the …

We present in this article a positive finite volume method for diffusion equation on deformed
meshes. This method is mainly inspired from, and uses auxiliary unknowns at the nodes of …

In this paper we present a new nonlinear finite volume scheme preserving positivity for
diffusion equations. The main feature of the scheme is the assumption that the values of …

We present an abstract discretization framework and demonstrate that various cell-centered
and hybrid finite-volume schemes fit into it. The different schemes considered in this work …

We consider a 1D-2V Vlasov–Fokker–Planck multi-species ionic description coupled to fluid
electrons. We address temporal stiffness with implicit time stepping, suitably preconditioned …