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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…
An adaptive mesh refinement strategy to ensure quasi-optimality of finite element methods for self-adjoint Helmholtz problems
Tim van Beeck, Umberto Zerbinati
It is well known that the quasi-optimality of the Galerkin finite element method for the Helmholtz equation is dependent on the mesh size and the wave-number. In the literature, di…
A nodal ghost method based on variational formulation and regular square grid for elliptic problems on arbitrary domains in two space dimensions
Clarissa Astuto, Daniele Boffi, Giovanni Russo +1
This paper focuses on the numerical solution of elliptic partial differential equations (PDEs) with Dirichlet and mixed boundary conditions, specifically addressing the challenges…