Numerical approximation of a potentials formulation for the elasticity vibration problem

DOI10.1016/j.camwa.2023.02.005OpenAlexW4322755868MaRDI QIDQ2697820

J. Albella, Rodolfo Rodríguez, Pablo Venegas

Publication date: 13 April 2023

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2023.02.005

zbMATH Keywords

finite element methodHelmholtz decompositionpotentialsspectral elasticity problem

Mathematics Subject Classification ID

Mechanics of deformable solids (74-XX) Fluid mechanics (76-XX)

Cites Work

• Solving 2D linear isotropic elastodynamics by means of scalar potentials: a new challenge for finite elements
• A remark on spurious eigenvalues in a square
• Mixed approximation of the axisymmetric acoustic eigenvalue problem
• Finite Element Methods for Navier-Stokes Equations
• Vector potentials in three-dimensional non-smooth domains
• Finite Element Vibration Analysis of Fluid–Solid Systems without Spurious Modes
• Numerical analysis of a method for solving 2D linear isotropic elastodynamics with traction free boundary condition using potentials and finite elements
• Numerical Approximation of the Displacement Formulation of the Axisymmetric Acoustic Vibration Problem
• Discretization methods and iterative solvers based on domain decomposition
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