Discontinuous Galerkin methods for the acoustic vibration problem

F Lepe, D Mora, J Vellojin - Journal of Computational and Applied …, 2024 - Elsevier
In two and three dimension we analyze discontinuous Galerkin methods (DG) for the
acoustic vibration problem. Through all our study we consider an inviscid fluid, leading to a …

Error Estimates for a Vectorial Second-Order Elliptic Eigenproblem by the Local Projected Finite Element Method

HY Duan, P Lin, RCE Tan - SIAM Journal on Numerical Analysis, 2013 - SIAM
In this paper, a theoretical framework with a completely new theory is presented for the
general curlcurl-graddiv second-order elliptic eigenproblem when discretized by the recently …

[HTML][HTML] Finite element approximation of the elasticity spectral problem on curved domains

E Hernández - Journal of computational and applied mathematics, 2009 - Elsevier
We analyze the finite element approximation of the spectral problem for the linear elasticity
equation with mixed boundary conditions on a curved non-convex domain. In the framework …

Finite element approximation of Maxwell eigenproblems on curved Lipschitz polyhedral domains

AD Russo, A Alonso - Applied numerical mathematics, 2009 - Elsevier
This paper deals with the finite element approximation of the spectral problem for the
Maxwell equation on a curved non-convex Lipschitz polyhedral domain Ω. Convergence …

Finite element approximations in a non-Lipschitz domain: Part II

G Acosta, M Armentano - Mathematics of computation, 2011 - ams.org
In a paper by R. Durán, A. Lombardi, and the authors (2007) the finite element method was
applied to a non-homogeneous Neumann problem on a cuspidal domain $\Omega\subset …

Hybrid finite element analysis of fluid-structure systems with coupling on curved interfaces

AD Russo, A Alonso - IMA journal of numerical analysis, 2011 - ieeexplore.ieee.org
This paper deals with a finite element approximation of the vibration modes of fluid–structure
systems coupled on curved interfaces. It is based on a displacement formulation for both the …

Convergence analysis for eigenvalue approximations on triangular finite element meshes

TD Todorov - Numerical Analysis and Its Applications: Third …, 2005 - Springer
The paper is devoted to the eigenvalue problem for a second order strongly elliptic operator.
The problem is considered on curved domains, which require interpolated boundary …

Estimaciones a priori ya posteriori del error para problemas de autovalores

A Dello Russo - 2017 - sedici.unlp.edu.ar
En este trabajo, se presenta una teoría de aproximación espectral para operadores lineales
y acotados en espacios de Hilbert. La teoría es abstracta y fue desarrollada para estudiar …

Finite element approximation of fluid-solid interaction with curved boundaries and interfaces

E Hernández - mate.dm.uba.ar
We analyze the finite element approximation of the vibration modes of a problem with fluid-
structure interaction. We consider the problem of a vessel completely filled by the fluid and …

[PDF][PDF] A Complete Bibliography of Publications in Numerische Mathematik (2000–2009)

NHF Beebe - 2023 - Citeseer
A Complete Bibliography of Publications in Numerische Mathematik (2000–2009) Page 1 A
Complete Bibliography of Publications in Numerische Mathematik (2000–2009) Nelson HF …