Solution of nearly incompressible field problems using a generalized finite element approach
From MaRDI portal
Publication:2021194
DOI10.1016/j.cma.2020.113165zbMath1506.74443OpenAlexW3033508081MaRDI QIDQ2021194
Troy Shilt, Patrick J. O'Hara, Rohit Deshmukh, Jack J. McNamara
Publication date: 26 April 2021
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.2020.113165
Classical linear elasticity (74B05) Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)
Related Items (1)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Transient analysis of sharp thermal gradients using coarse finite element meshes
- Investigation of linear dependence problem of three-dimensional partition of unity-based finite element methods
- A new finite element formulation for computational fluid dynamics. VIII. The Galerkin/least-squares method for advective-diffusive equations
- Stability of incompressible formulations enriched with X-FEM
- A new finite element formulation for computational fluid dynamics. V: Circumventing the Babuška-Brezzi condition: A stable Petrov-Galerkin formulation of the Stokes problem accommodating equal-order interpolations
- Two classes of mixed finite element methods
- Locking effects in the finite element approximation of elasticity problems
- Mixed finite element methods - reduced and selective integration techniques: a unification of concepts
- Finite element analysis of incompressible viscous flows by the penalty function formulation
- Finite element solution of the Navier-Stokes equations for incompressible flow using a segregated algorithm
- Computational inelasticity
- The partition of unity finite element method: basic theory and applications
- A discrete divergence-free basis for finite element methods
- Some numerical issues on the use of XFEM for ductile fracture
- A new cloud-based \(hp\) finite element method
- The design and analysis of the generalized finite element method
- Strongly stable generalized finite element method: application to interface problems
- Virtual bubbles and Galerkin-least-squares type methods (Ga.L.S.)
- Linear dependence problems of partition of unity-based generalized FEMs
- A stable and optimally convergent generalized FEM (SGFEM) for linear elastic fracture mechanics
- Error-bounds for finite element method
- Multiscale phenomena: Green's functions, the Dirichlet-to-Neumann formulation, subgrid scale models, bubbles and the origins of stabilized methods
- Generalized finite element method for modeling nearly incompressible bimaterial hyperelastic solids
- hp-Generalized FEM and crack surface representation for non-planar 3-D cracks
- Mixed and Hybrid Finite Element Methods
- Structure of the set of stationary solutions of the navier‐stokes equations
- THE PARTITION OF UNITY METHOD
- A finite element method for crack growth without remeshing
This page was built for publication: Solution of nearly incompressible field problems using a generalized finite element approach
