Zobrazeno 1 - 10
of 54
pro vyhledávání: '"COCO, ARMANDO"'
In this paper, a comparative study between the Coco-Russo scheme (based on finite-difference scheme) and the $\mathghost$-FEM (based on finite-element method) is presented when solving the Poisson equation in arbitrary domains. The comparison between
Externí odkaz:
http://arxiv.org/abs/2405.16582
Autor:
Coco, Armando, Russo, Giovanni
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 extension of the second ghost method introduced earlier by the authors. Thr
Externí odkaz:
http://arxiv.org/abs/2405.13986
Autor:
Coco Armando, Russo Giovanni
Publikováno v:
Open Mathematics, Vol 22, Iss 1, Pp 464-501 (2024)
In this article, 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 extension of the second-order ghost method introduced earlier by the aut
Externí odkaz:
https://doaj.org/article/d21f2106fec14836b6e287e09037da65
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 elliptic equations on curved domains embedded in a uniform Cartesian mesh, a
Externí odkaz:
http://arxiv.org/abs/2207.14208
Publikováno v:
Journal of Computational Physics (2023)
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 governed by a convection-diffusion equation for the surfactant concentra
Externí odkaz:
http://arxiv.org/abs/2206.02491
Autor:
Coco, Armando, Ekström, Sven-Erik, Russo, Giovanni, Serra-Capizzano, Stefano, Stissi, Santina Chiara
When approximating elliptic problems by using specialized approximation techniques, we obtain large structured matrices whose analysis provides information on the stability of the method. Here we provide spectral and norm estimates for matrix sequenc
Externí odkaz:
http://arxiv.org/abs/2108.09086
Autor:
Coco, Armando
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-point method, which falls under the category of unfitted boundary methods,
Externí odkaz:
http://arxiv.org/abs/1911.00994
Publikováno v:
Applied Mathematics and Computation 386 (2020) 125503
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 approximation.The space domain of a computation is the pristine marble o
Externí odkaz:
http://arxiv.org/abs/1902.07029
Autor:
Coco, Armando, Ekström, Sven-Erik, Russo, Giovanni, Serra-Capizzano, Stefano, Stissi, Santina Chiara
Publikováno v:
In Linear Algebra and Its Applications 15 June 2023 667:10-43
Publikováno v:
In Journal of Computational Physics 1 April 2023 478