Numerical Approximation of the Displacement Formulation of the Axisymmetric Acoustic Vibration Problem

DOI10.1137/20M1346225zbMath1479.65022OpenAlexW3158130379MaRDI QIDQ4997351

J. Querales, Rodolfo Rodríguez, Pablo Venegas

Publication date: 29 June 2021

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/20m1346225

zbMATH Keywords

finite element methodeigenvalue problemaxisymmetric acoustic

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Hydro- and aero-acoustics (76Q05) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25)

Related Items (4)

Discontinuous Galerkin methods for the acoustic vibration problem ⋮ Numerical approximation of a potentials formulation for the elasticity vibration problem ⋮ Mixed approximation of the axisymmetric acoustic eigenvalue problem ⋮ Numerical solution of an axisymmetric eddy current model with current and voltage excitations

Cites Work

• Unnamed Item
• Unnamed Item
• Hitchhiker's guide to the fractional Sobolev spaces
• Low-order Raviart-Thomas approximations of axisymmetric Darcy flow
• Approximation of Axisymmetric Darcy Flow Using Mixed Finite Element Methods
• A Simple Introduction to the Mixed Finite Element Method
• Résolution d’un problème aux limites dans un ouvert axisymétrique par éléments finis en $r, z$ et séries de Fourier en $\theta $
• The convergence of V-cycle multigrid algorithms for axisymmetric Laplace and Maxwell equations
• A least‐squares method for axisymmetric div–curl systems
• Finite Element Methods for Navier-Stokes Equations
• A displacement method for the analysis of vibrations of coupled fluid‐structure systems
• On spectral approximation. Part 1. The problem of convergence
• On spectral approximation. Part 2. Error estimates for the Galerkin method
• Finite Element Methods for Maxwell's Equations
• Finite Element Vibration Analysis of Fluid–Solid Systems without Spurious Modes

This page was built for publication: Numerical Approximation of the Displacement Formulation of the Axisymmetric Acoustic Vibration Problem