Incompatible bubbles: a non-conforming finite element formulation for linear elasticity

DOI10.1016/j.cma.2006.09.010zbMath1173.74440OpenAlexW2115806243MaRDI QIDQ1033183

Manfred Bischoff, Ignacio Romero

Publication date: 6 November 2009

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.2006.09.010

zbMATH Keywords

elasticityfinite elementsenhanced strainincompatible modessubgrid formulation

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Finite element methods applied to problems in solid mechanics (74S05)

Related Items

A mixed u-p edge-based smoothed particle finite element formulation for viscous flow simulations, Two mixed finite element formulations with area bubble functions for tetrahedral elements, Stabilized low-order finite elements for coupled solid-deformation/fluid-diffusion and their application to fault zone transients, Stabilized plane and axisymmetric Lobatto finite element models, Velocity-based formulations for standard and quasi-incompressible hypoelastic-plastic solids, Stabilization of bi‐linear mixed finite elements for tetrahedra with enhanced interpolation using volume and area bubble functions, A finite strain Raviart-Thomas tetrahedron, A phase-field method for elastic mechanics with large deformation

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Further considerations on residual-free bubbles for advective-diffusive equations
• Applications of the pseudo residual-free bubbles to the stabilization of convection-diffusion problems
• A multiscale finite element method for elliptic problems in composite materials and porous media
• \(b=\int g\)
• Unlocking with residual-free bubbles
• Deriving upwinding, mass lumping and selective reduced integration by residual-free bubbles
• The discontinuous enrichment method for multiscale analysis.
• Stabilization of incompressibility and convection through orthogonal sub-scales in finite element methods
• Multiscale phenomena: Green's functions, the Dirichlet-to-Neumann formulation, subgrid scale models, bubbles and the origins of stabilized methods
• A modified method of incompatible modes
• A generalization of the method of incompatible modes
• On the Variational Foundations of Assumed Strain Methods
• Generalization of selective integration procedures to anisotropic and nonlinear media
• Mixed and Hybrid Finite Element Methods
• A non-conforming element for stress analysis
• CHOOSING BUBBLES FOR ADVECTION-DIFFUSION PROBLEMS
• A class of mixed assumed strain methods and the method of incompatible modes
• EAS‐elements for two‐dimensional, three‐dimensional, plate and shell structures and their equivalence to HR‐elements
• Analysis of kinematic linked interpolation methods for Reissner-Mindlin plate problems