Mixed stabilized finite element methods in linear elasticity for the velocity-stress equations in the time and the frequency domains

DOI10.1016/j.cma.2022.115777OpenAlexW4310723272MaRDI QIDQ2678505

Ramon Codina, Arnau Fabra

Publication date: 23 January 2023

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cma.2022.115777

zbMATH Keywords

frequency domainelastodynamicsstabilized finite element methodsvector-tensor mixed formulation

Mathematics Subject Classification ID

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

Cites Work

• Unnamed Item
• Subscales on the element boundaries in the variational two-scale finite element method
• Stabilized continuous and discontinuous Galerkin techniques for Darcy flow
• Mixed stabilized finite element methods in nonlinear solid mechanics. I: Formulation
• \(T\)-coercivity: application to the discretization of Helmholtz-like problems
• Finite element approximation of the hyperbolic wave equation in mixed form
• Finite element analysis of acoustic scattering
• The variational multiscale method -- a paradigm for computational mechanics
• Hybrid finite element formulations for elastodynamic analysis in the frequency domain
• A Sommerfeld non-reflecting boundary condition for the wave equation in mixed form
• A first order hyperbolic framework for large strain computational solid dynamics. I: Total Lagrangian isothermal elasticity
• A mixed three-field FE formulation for stress accurate analysis including the incompressible limit
• Stabilized finite element approximation of transient incompressible flows using orthogonal subscales
• A stabilized mixed finite element approximation for incompressible finite strain solid dynamics using a total Lagrangian formulation
• Implicit finite incompressible elastodynamics with linear finite elements: a stabilized method in rate form
• A velocity/stress mixed stabilized nodal finite element for elastodynamics: analysis and computations with strongly and weakly enforced boundary conditions
• Numerical investigations of stabilized finite element computations for acoustics
• Multiscale phenomena: Green's functions, the Dirichlet-to-Neumann formulation, subgrid scale models, bubbles and the origins of stabilized methods
• Stability, Convergence, and Accuracy of Stabilized Finite Element Methods for the Wave Equation in Mixed Form
• A variational multiscale method with subscales on the element boundaries for the Helmholtz equation
• A simple, stable, and accurate linear tetrahedral finite element for transient, nearly, and fully incompressible solid dynamics: a dynamic variational multiscale approach
• A mixed displacement-pressure formulation for numerical analysis of plastic failure
• An Analysis of New Mixed Finite Elements for the Approximation of Wave Propagation Problems
• A New Family of Mixed Finite Elements for the Linear Elastodynamic Problem
• Mixed Finite Element Methods and Applications
• A stabilized finite element method for generalized stationary incompressible flows