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05/15/2023
Approximation of the Maxwell eigenvalue problem in a Least-Squares setting
We discuss the approximation of the eigensolutions associated with the M...
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04/24/2023
A comparison of non-matching techniques for the finite element approximation of interface problems
We perform a systematic comparison of various numerical schemes for the ...
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03/31/2023
Finite element formulations for Maxwell's eigenvalue problem using continuous Lagrangian interpolations
We consider nodal-based Lagrangian interpolations for the finite element...
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03/31/2023
A data-driven method for parametric PDE Eigenvalue Problems using Gaussian Process with different covariance functions
We propose a non-intrusive, reduced-basis, and data-driven method for ap...
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03/25/2023
On the effect of different samplings to the solution of parametric PDE Eigenvalue Problems
In this article we apply reduced order techniques for the approximation ...
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03/19/2023
Finite element discretization of a biological network formation system: a preliminary study
A finite element discretization is developed for the Cai-Hu model, descr...
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02/02/2023
Reduced basis approximation of parametric eigenvalue problems in presence of clusters and intersections
In this paper we discuss reduced order models for the approximation of p...
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01/30/2023
Asymmetry and condition number of an elliptic-parabolic system for biological network formation
We present results of numerical simulations of the tensor-valued ellipti...
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01/24/2023
A parallel solver for FSI problems with fictitious domain approach
We present and analyze a parallel solver for the solution of fluid struc...
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01/21/2023
Data-driven reduced order modeling for parametric PDE eigenvalue problems using Gaussian process regression
In this article, we propose a data-driven reduced basis (RB) method for ...
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12/27/2022
A parallel solver for fluid structure interaction problems with Lagrange multiplier
The aim of this work is to present a parallel solver for a formulation o...
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11/07/2022
Unfitted mixed finite element methods for elliptic interface problems
In this paper, new unfitted mixed finite elements are presented for elli...
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09/17/2022
Comparison of two aspects of a PDE model for biological network formation
We compare the solutions of two systems of partial differential equation...
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08/30/2022
A greedy MOR method for the tracking of eigensolutions to parametric elliptic PDEs
In this paper, we introduce an algorithm based on a sparse grid adaptive...
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07/13/2022
On the matching of eigensolutions to parametric partial differential equations
In this paper a novel numerical approximation of parametric eigenvalue p...
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06/14/2022
On the necessity of the inf-sup condition for a mixed finite element formulation
We study a non standard mixed formulation of the Poisson problem, someti...
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05/26/2022
On the interface matrix for fluid-structure interaction problems with fictitious domain approach
We study a recent formulation for fluid-structure interaction problems b...
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04/22/2022
Convergence of Lagrange Finite Element Methods for Maxwell Eigenvalue Problem in 3D
We prove convergence of the Maxwell eigenvalue problem using quadratic o...
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03/28/2022
A reduced order model for the finite element approximation of eigenvalue problems
In this paper we consider a reduced order method for the approximation o...
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10/27/2021
Superconvergence of the MINI mixed finite element discretization of the Stokes problem: An experimental study in 3D
Stokes flows are a type of fluid flow where convective forces are small ...
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08/18/2021
On the spectrum of the finite element approximation of a three field formulation for linear elasticity
We continue the investigation on the spectrum of operators arising from ...
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08/09/2021
On the spectrum of an operator associated with least-squares finite elements for linear elasticity
In this paper we provide some more details on the numerical analysis and...
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04/28/2021
Existence, uniqueness, and approximation of a fictitious domain formulation for fluid-structure interactions
In this paper we describe a computational model for the simulation of fl...
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12/31/2020
Virtual element approximation of eigenvalue problems
We discuss the approximation of eigenvalue problems associated with elli...
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12/11/2020
DPG approximation of eigenvalue problems
In this paper, the discontinuous Petrov–Galerkin approximation of the La...
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05/05/2020
Convergence analysis of the scaled boundary finite element method for the Laplace equation
The scaled boundary finite element method (SBFEM) is a relatively recent...
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03/18/2020
Convergence of Lagrange finite elements for the Maxwell Eigenvalue Problem in 2D
We consider finite element approximations of the Maxwell eigenvalue prob...
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03/18/2020
An adaptive finite element scheme for the Hellinger–Reissner elasticity mixed eigenvalue problem
In this paper we study the approximation of eigenvalues arising from the...
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03/01/2020
Least-squares for linear elasticity eigenvalue problem
We study the approximation of the spectrum of least-squares operators ar...
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02/19/2020
First order least-squares formulations for eigenvalue problems
In this paper we discuss spectral properties of operators associated wit...
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06/30/2019
The Prager-Synge theorem in reconstruction based a posteriori error estimation
In this paper we review the hypercircle method of Prager and Synge. This...
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06/30/2019
