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20002026
most citedApproximation by quadrilateral finite elements

199 citations · 431 across the 51 of their papers we have counts for

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Showing 2024 · math.NAShow all

5 papers · 2 filters

math.NA2024

A posteriori error estimator for elliptic interface problems in the fictitious formulation

Najwa Alshehri, Daniele Boffi, Lucia Gastaldi

A posteriori error estimator is derived for an elliptic interface problem in the fictitious domain formulation with distributed Lagrange multiplier considering a discontinuous Lagr…

math.NA2024

Quadrature error estimates on non-matching grids in a fictitious domain framework for fluid-structure interaction problems

Daniele Boffi, Fabio Credali, Lucia Gastaldi

We consider a fictitious domain formulation for fluid-structure interaction problems based on a distributed Lagrange multiplier to couple the fluid and solid behaviors. How to deal…

math.NA2024

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…

math.NA2024

On the stabilization of a virtual element method for an acoustic vibration problem

Linda Alzaben, Daniele Boffi, Andreas Dedner +1

In this paper we introduce an abstract setting for the convergence analysis of the virtual element approximation of an acoustic vibration problem. We discuss the effect of the stab…

math.NA2024★ 1 cited

Adaptive Mixed FEM for the Stokes eigenvalue problem

Daniele Boffi, Arbaz Khan

In this paper we discuss the optimal convergence of a standard adaptive scheme based on mixed finite element approximation to the solution of the eigenvalue problem associated with…