A mixed finite element method for non-linear and nearly incompressible elasticity based on biorthogonal systems
From MaRDI portal
Publication:3399330
DOI10.1002/nme.2594zbMath1171.74446OpenAlexW2167725238WikidataQ59889869 ScholiaQ59889869MaRDI QIDQ3399330
Publication date: 12 October 2009
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.2594
mixed finite elementsbiorthogonal systemPetrov-Galerkin discretizationdisplacement-based formulation
Related Items
Stabilization of mixed tetrahedral elements at large deformations, Compatible-strain mixed finite element methods for incompressible nonlinear elasticity, A symmetric mixed finite element method for nearly incompressible elasticity based on biorthogonal systems, An edge-based smoothed tetrahedron finite element method (ES-T-FEM) for 3D static and dynamic problems, Convergence of a stabilized discontinuous Galerkin method for incompressible nonlinear elasticity, Versatile stabilized finite element formulations for nearly and fully incompressible solid mechanics, A stabilized mixed finite element method for the biharmonic equation based on biorthogonal systems, Mixed finite element methods for the Poisson equation using biorthogonal and quasi-biorthogonal systems, A finite element method for a three-field formulation of linear elasticity based on biorthogonal systems, A framework for residual-based stabilization of incompressible finite elasticity: stabilized formulations and \(\overline F\) methods for linear triangles and tetrahedra
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Variational and projection methods for the volume constraint in finite deformation elasto-plasticity
- The many proofs of an identity on the norm of oblique projections
- Locking-free finite element methods for linear and nonlinear elasticity in 2D and 3D
- A stable finite element for the Stokes equations
- The quadrilateral `mini' finite element for the Stokes problem
- Uniform convergence and a posteriori error estimators for the enhanced strain finite element method
- On numerically accurate finite element solutions in the fully plastic range
- Convergence in the incompressible limit of finite element approximations based on the Hu-Washizu formulation
- Stability and comparison of different linear tetrahedral formulations for nearly incompressible explicit dynamic applications
- Multiplier Spaces for the Mortar Finite Element Method in Three Dimensions
- On the formulation of enhanced strain finite elements in finite deformations
- Finite Element Interpolation of Nonsmooth Functions Satisfying Boundary Conditions
- Inf-sup stable finite-element pairs based on dual meshes and bases for nearly incompressible elasticity
- Finite Element Methods for Navier-Stokes Equations
- Some Error Estimates for the Box Method
- Mixed and Hybrid Finite Element Methods
- Geometrically non-linear enhanced strain mixed methods and the method of incompatible modes
- Node-based uniform strain elements for three-node triangular and four-node tetrahedral meshes
- A Mortar Finite Element Method Using Dual Spaces for the Lagrange Multiplier
- On the Accuracy of the Finite Volume Element Method Based on Piecewise Linear Polynomials
- An assessment of the average nodal volume formulation for the analysis of nearly incompressible solids under finite strains
- A finite element method for nearly incompressible elasticity problems
- Stability and Convergence of a Class of Enhanced Strain Methods
- A class of mixed assumed strain methods and the method of incompatible modes
- F‐bar‐based linear triangles and tetrahedra for finite strain analysis of nearly incompressible solids. Part I: formulation and benchmarking
- The equivalent parallelogram and parallelepiped, and their application to stabilized finite elements in two and three dimensions.