38 citations · 66 across the 8 of their papers we have counts for
5 papers · 1 filter
Analytical and numerical study of nonlinear Riesz-Caputo boundary value problems
Chiara Sorgentone, Enza Pellegrino, Francesca Pitolli
Fractional boundary value problems are often used to model complex systems and processes characterized by memory effects and anomalous diffusion. In this paper, we consider nonline…
Estimation of quadrature errors for layer potentials evaluated near surfaces with spherical topology
Chiara Sorgentone, Anna-Karin Tornberg
Numerical simulations with rigid particles, drops or vesicles constitute some examples that involve 3D objects with spherical topology. When the numerical method is based on bounda…
Quadrature error estimates for layer potentials evaluated near curved surfaces in three dimensions
Ludvig af Klinteberg, Chiara Sorgentone, Anna-Karin Tornberg
The quadrature error associated with a regular quadrature rule for evaluation of a layer potential increases rapidly when the evaluation point approaches the surface and the integr…
A 3D boundary integral method for the electrohydrodynamics of surfactant-covered drops
Chiara Sorgentone, Anna-Karin Tornberg, Petia Vlahovska
We present a highly accurate numerical method based on a boundary integral formulation and the leaky dielectric model to study the dynamics of surfactant-covered drops in the prese…
A highly accurate boundary integral equation method for surfactant-laden drops in 3D
Chiara Sorgentone, Anna-Karin Tornberg
The presence of surfactants alters the dynamics of viscous drops immersed in an ambient viscous fluid. This is specifically true at small scales, such as in applications of droplet…