111 citations · 165 across the 10 of their papers we have counts for
10 papers
Multigrid methods for the ghost finite element approximation of elliptic problems
Hridya Dilip, Armando Coco
We present multigrid methods for solving elliptic partial differential equations on arbitrary domains using the nodal ghost finite element method, an unfitted boundary approach whe…
High order finite-difference ghost-point methods for elliptic problems in domains with curved boundaries
Armando Coco, Giovanni Russo
In this paper a fourth order finite difference ghost point method for the Poisson equation on regular Cartesian mesh is presented. The method can be considered the high order exten…
A ghost-point smoothing strategy for geometric multigrid on curved boundaries
Armando Coco, Mariarosa Mazza, Matteo Semplice
We present a Boundary Local Fourier Analysis (BLFA) to optimize the relaxation parameters of boundary conditions in a multigrid framework. The method is implemented to solve ellipt…
A finite-difference ghost-point multigrid method for multi-scale modelling of sorption kinetics of a surfactant past an oscillating bubble
Clarissa Astuto, Armando Coco, Giovanni Russo
We propose a method for the numerical solution of a multiscale model describing sorption kinetics of a surfactant around an oscillating bubble. The evolution of the particles is go…
Spectral and norm estimates for matrix sequences arising from a finite difference approximation of elliptic operators
Armando Coco, Sven-Erik Ekström, Giovanni Russo +2
When approximating elliptic problems by using specialized approximation techniques, we obtain large structured matrices whose analysis provides information on the stability of the…
A multigrid ghost-point level-set method for incompressible Navier-Stokes equations on moving domains with curved boundaries
Armando Coco
In this paper we present a numerical approach to solve the Navier-Stokes equations on moving domains with second-order accuracy. The space discretization is based on the ghost-poin…
A level-set multigrid technique for nonlinear diffusion in the numerical simulation of marble degradation under chemical pollutants
Armando Coco, Matteo Semplice, Stefano Serra-Capizzano
Having in mind the modelling of marble degradation under chemical pollutants, e.g.~the sulfation process, we consider governing nonlinear diffusion equations and their numerical ap…
Adaptive Mesh Refinement for Hyperbolic Systems based on Third-Order Compact WENO Reconstruction
M. Semplice, A. Coco, G. Russo
In this paper we generalize to non-uniform grids of quad-tree type the Compact WENO reconstruction of Levy, Puppo and Russo (SIAM J. Sci. Comput., 2001), thus obtaining a truly two…
Second Order Multigrid Methods for Elliptic Problems with Discontinuous Coefficients on an Arbitrary Interface, I: One Dimensional Problems
Armando Coco, Giovanni Russo
In this paper we present a one dimensional second order accurate method to solve Elliptic equations with discontinuous coefficients on an arbitrary interface. Second order accuracy…
A Finite Difference Ghost-Cell Multigrid Approach for Poisson Equation with Mixed Boundary Conditions in Arbitrary Domain
Armando Coco, Giovanni Russo
In this paper we present a multigrid approach to solve the Poisson equation in arbitrary domain (identified by a level set function) and mixed boundary conditions. The discretizati…