Stable mixed finite elements for linear elasticity with thin inclusions

DOI10.1007/s10596-020-10013-2zbMath1460.65142arXiv1903.01757OpenAlexW3096481337WikidataQ114227001 ScholiaQ114227001MaRDI QIDQ2027128

Jan Martin Nordbotten, W. M. Boon

Publication date: 25 May 2021

Published in: Computational Geosciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1903.01757

zbMATH Keywords

linear elasticitymixed finite elementweak symmetrymixed-dimensionala priori analysis

Mathematics Subject Classification ID

Plates (74K20) Finite element methods applied to problems in solid mechanics (74S05) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items (2)

\textit{A posteriori} error estimates for hierarchical mixed-dimensional elliptic equations ⋮ A reduced basis method for Darcy flow systems that ensures local mass conservation by using exact discrete complexes

Uses Software

• Gmsh
• FEniCS
• PorePy

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Two families of mixed finite elements for second order elliptic problems
• Mixed finite elements in \(\mathbb{R}^3\)
• Mixed finite elements for elasticity
• Rectangular mixed elements for elasticity with weakly imposed symmetry condition
• PorePy: an open-source software for simulation of multiphysics processes in fractured porous media
• Complexes of discrete distributional differential forms and their homology theory
• Functional analysis and exterior calculus on mixed-dimensional geometries
• Finite element exterior calculus, homological techniques, and applications
• Gmsh: A 3-D finite element mesh generator with built-in pre- and post-processing facilities
• The effect of a thin inclusion of high rigidity in an elastic body
• Robust Discretization of Flow in Fractured Porous Media
• Mixed Finite Element Methods and Applications
• Modeling, Structure and Discretization of Hierarchical Mixed-Dimensional Partial Differential Equations
• Modeling Fractures and Barriers as Interfaces for Flow in Porous Media

This page was built for publication: Stable mixed finite elements for linear elasticity with thin inclusions