Zobrazeno 1 - 10
of 307
pro vyhledávání: '"Boffi, Daniele"'
A posteriori error estimator is derived for an elliptic interface problem in the fictitious domain formulation with distributed Lagrange multiplier considering a discontinuous Lagrange multiplier finite element space. A posteriori error estimation pl
Externí odkaz:
http://arxiv.org/abs/2407.00786
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 with the coupling term is crucial since the construction of the assoc
Externí odkaz:
http://arxiv.org/abs/2406.03981
This paper focuses on the numerical solution of elliptic partial differential equations (PDEs) with Dirichlet and mixed boundary conditions, specifically addressing the challenges arising from irregular domains. Both finite element method (FEM) and f
Externí odkaz:
http://arxiv.org/abs/2402.04048
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 stabilization parameters and remark that in some cases it is possible to a
Externí odkaz:
http://arxiv.org/abs/2401.04485
We discuss the approximation of the eigensolutions associated with the Maxwell eigenvalues problem in the framework of least-squares finite elements. We write the Maxwell curl curl equation as a system of two first order equation and design a novel l
Externí odkaz:
http://arxiv.org/abs/2305.08996
We perform a systematic comparison of various numerical schemes for the approximation of interface problems. We consider unfitted approaches in view of their application to possibly moving configurations. Particular attention is paid to the implement
Externí odkaz:
http://arxiv.org/abs/2304.11908
We consider nodal-based Lagrangian interpolations for the finite element approximation of the Maxwell eigenvalue problem. The first approach introduced is a standard Galerkin method on Powell-Sabin meshes, which has recently been shown to yield conve
Externí odkaz:
http://arxiv.org/abs/2304.00095
We use a Gaussian Process Regression (GPR) strategy that was recently developed [3,16,17] to analyze different types of curves that are commonly encountered in parametric eigenvalue problems. We employ an offline-online decomposition method. In the o
Externí odkaz:
http://arxiv.org/abs/2303.18064
In this article we apply reduced order techniques for the approximation of parametric eigenvalue problems. The effect of the choice of sampling points is investigated. Here we use the standard proper orthogonal decomposition technique to obtain the b
Externí odkaz:
http://arxiv.org/abs/2303.14455