3 papers
math.NA2026
Efficient and well-conditioned ghost-point discretization of boundary operators on unfitted domains
Armando Coco, Alessandro Coclite, Stéphane Clain +1
Unfitted boundary methods are widely used to numerically solve partial differential equations (PDEs) on irregular domains, avoiding the computational burden of generating boundary-…
math.NA2026
High order ghost-FEM for incompressible Navier-Stokes equations on moving domains
Hridya Dilip, Clarissa Astuto, Armando Coco +1
We develop a new numerical technique for approximating solutions of the Navier-Stokes equations on moving domains. The method aims at simulating an incompressible fluid past an obj…
math.NA2024
A comparison of the Coco-Russo scheme and $\protect\mathghost$-FEM for elliptic equations in arbitrary domains
Clarissa Astuto, Armando Coco, Umberto Zerbinati
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 sol…