Resolving vibro‐acoustics in poroelastic media via a multiscale virtual element method
From MaRDI portal
Publication:6071399
DOI10.1002/nme.7173OpenAlexW4309048732MaRDI QIDQ6071399
Fabien Chevillotte, Abhilash Sreekumar, François-Xavier Bécot, Savvas P. Triantafyllou
Publication date: 23 November 2023
Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/nme.7173
Basic methods in fluid mechanics (76Mxx) Numerical methods for partial differential equations, boundary value problems (65Nxx) Coupling of solid mechanics with other effects (74Fxx)
Cites Work
- Unnamed Item
- Unnamed Item
- Equivalent projectors for virtual element methods
- Extended multiscale finite element method for mechanical analysis of heterogeneous materials
- Stable generalized finite element method (SGFEM)
- A hysteretic multiscale formulation for nonlinear dynamic analysis of composite materials
- An introduction to computational micromechanics.
- A multiscale reduced-basis method for parametrized elliptic partial differential equations with multiple scales
- A comparison of multiscale methods for elliptic problems in porous media flow
- A multiscale finite element method for elliptic problems in composite materials and porous media
- A virtual element method for contact
- Exploring high-order three dimensional virtual elements: bases and stabilizations
- A virtual element method for 2D linear elastic fracture analysis
- An engineering perspective to the virtual element method and its interplay with the standard finite element method
- Bricks for the mixed high-order virtual element method: projectors and differential operators
- Multiscale VEM for the Biot consolidation analysis of complex and highly heterogeneous domains
- Virtual elements for sound propagation in complex poroelastic media
- Multiscale finite volume method for finite-volume-based simulation of poroelasticity
- A virtual element method for the acoustic vibration problem
- A posteriori error estimation and basis adaptivity for reduced-basis approximation of nonaffine-parametrized linear elliptic partial differential equations
- ``Natural norm a posteriori error estimators for reduced basis approximations
- Multiscale phenomena: Green's functions, the Dirichlet-to-Neumann formulation, subgrid scale models, bubbles and the origins of stabilized methods
- Mixed virtual element methods for general second order elliptic problems on polygonal meshes
- A plane wave virtual element method for the Helmholtz problem
- Basic principles of mixed Virtual Element Methods
- A normal modes technique to reduce the order of poroelastic models: application to 2D and coupled 3D models
- A finite element approach combining a reduced-order system, Padé approximants, and an adaptive frequency windowing for fast multi-frequency solution of poro-acoustic problems
- Comparison of Four Multiscale Methods for EllipticProblems
- The heterogeneous multiscale method
- Generalized Finite Element Methods: Their Performance and Their Relation to Mixed Methods
- Multiscale Modelling of the Failure Behaviour of Fibre-Reinforced Laminates
- Multiscale Finite Element Methods
- An H1-conforming virtual element for Darcy and Brinkman equations
- BASIC PRINCIPLES OF VIRTUAL ELEMENT METHODS
- The Hitchhiker's Guide to the Virtual Element Method
- Finite Element and Boundary Methods in Structural Acoustics and Vibration
- A mixed virtual element method for the Brinkman problem
- A Multiscale Mortar Mixed Finite Element Method