Nonlinear evolution equations (NLEEs) are seen in such fields as fluid dynamics, plasma
physics and optics. A (3+ 1)-dimensional time-dependent-coefficient Boiti-Leon-Manna …

In this study, we propose a virtual element scheme to solve the Darcy problem in three
physical dimensions. The main novelty is that curved elements are naturally handled without …

In this paper we present a novel way to mathematically frame the concept of ecological
memory of plant water stress in the context of root water uptake in unsaturated flow …

In this work, we propose an extension of the mixed Virtual Element Method (VEM) for bi-
dimensional computational grids with curvilinear edge elements. The approximation by …

This work arises from the need of exploring new features for modeling and optimizing water
consumption in irrigation processes. In particular, we focus on water flow model in …

In the present work we propose and analyze a fully-coupled virtual element method of high
order for solving the two dimensional nonstationary Boussinesq system in terms of the …

In this work we propose a new numerical scheme for solving Richards' equation within
Gardner's framework and accomplishing mass conservation. In order to do so, we resort to …

We present a numerical implementation for the Virtual Element Method that incorporates
high order spaces. We include all the required computations in order to assemble the …

Wormhole propagation, arising in petroleum engineering, is used to describe the distribution
of acid and the increase of porosity in carbonate reservoir under the dissolution of injected …

The objective of this contribution is to develop a convergence analysis for SUPG-stabilized
Virtual Element Methods in diffusion-convection problems that is robust also in the …