35 citations · 114 across the 8 of their papers we have counts for
8 papers
The evolving surface morphochemical reaction-diffusion system for battery modeling
Benedetto Bozzini, Massimo Frittelli, Anotida Madzvamuse +1
It is well known that phase formation by electrodeposition yields films of poorly controllable morphology. This typically leads to a range of technological issues in many fields of…
Turing patterns in a 3D morpho-chemical bulk-surface reaction-diffusion system for battery modeling
Massimo Frittelli, Ivonne Sgura, Benedetto Bozzini
In this paper we introduce a bulk-surface reaction-diffusion (BSRD) model in three space dimensions that extends the DIB morphochemical model to account for the electrolyte contrib…
Virtual element method for elliptic bulk-surface PDEs in three space dimensions
Massimo Frittelli, Anotida Madzvamuse, Ivonne Sgura
In this work we present a novel bulk-surface virtual element method (BSVEM) for the numerical approximation of elliptic bulk-surface partial differential equations (BSPDEs) in thre…
Matrix-oriented FEM formulation for stationary and time-dependent PDEs on x-normal domains
Massimo Frittelli, Ivonne Sgura
When numerical solution of elliptic and parabolic partial differential equations is required to be highly accurate in space, the discrete problem usually takes the form of large-sc…
Optimizing feedstock imports with environmental constraints
Massimo Frittelli, Pierluigi Toma
In addressing the problem of commodity production out of feedstock imports, an eco-environmentally rational agent aims at minimizing the cost of feedstock imports and their transpo…
Bulk-surface virtual element method for systems of PDEs in two-space dimension
Massimo Frittelli, Anotida Madzvamuse, Ivonne Sgura
In this paper we consider a coupled bulk-surface PDE in two space dimensions. The model consists of a PDE in the bulk that is coupled to another PDE on the surface through general…
Virtual Element Method for the Laplace-Beltrami equation on surfaces
Massimo Frittelli, Ivonne Sgura
We present and analyze a Virtual Element Method (VEM) of arbitrary polynomial order for the Laplace-Beltrami equation on a surface in . The method co…
Lumped finite element method for reaction-diffusion systems on compact surfaces
Massimo Frittelli, Anotida Madzvamuse, Ivonne Sgura +1
We propose and analyse a novel surface finite element method that preserves the invariant regions of systems of semilinear parabolic equations on closed compact surfaces in $\mathb…