A mimetic discretization of the Reissner-Mindlin plate bending problem
From MaRDI portal
Publication:629909
DOI10.1007/s00211-010-0358-8zbMath1428.74132OpenAlexW1964943372MaRDI QIDQ629909
Lourenco Beirão da Veiga, David Mora
Publication date: 10 March 2011
Published in: Numerische Mathematik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00211-010-0358-8
Related Items (16)
A high-order mimetic method on unstructured polyhedral meshes for the diffusion equation ⋮ Numerical results for mimetic discretization of Reissner-Mindlin plate problems ⋮ Automatically inf − sup compliant diamond-mixed finite elements for Kirchhoff plates ⋮ A New Approach to Reduce Transverse Shear Locking of Reissner–Mindlin Plate Based on The Cell-Centered Finite Element Method ⋮ Discretization of Mixed Formulations of Elliptic Problems on Polyhedral Meshes ⋮ Mimetic finite differences for nonlinear and control problems ⋮ M-Adaptation in the mimetic finite difference method ⋮ New perspectives on polygonal and polyhedral finite element methods ⋮ A two-level method for mimetic finite difference discretizations of elliptic problems ⋮ Post processing of solution and flux for the nodal mimetic finite difference method ⋮ Virtual element methods for the three-field formulation of time-dependent linear poroelasticity ⋮ Mimetic finite difference method ⋮ Mimetic scalar products of discrete differential forms ⋮ The arbitrary order mixed mimetic finite difference method for the diffusion equation ⋮ A mimetic discretization of elliptic obstacle problems ⋮ A discrete de Rham method for the Reissner-Mindlin plate bending problem on polygonal meshes
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Mimetic finite difference method for the Stokes problem on polygonal meshes
- Flux reconstruction and solution post-processing in mimetic finite difference methods
- Convergence analysis of the high-order mimetic finite difference method
- High-order mimetic finite difference method for diffusion problems on polygonal meshes
- Local flux mimetic finite difference methods
- A new discretization methodology for diffusion problems on generalized polyhedral meshes
- The numerical solution of diffusion problems in strongly heterogeneous non-isotropic materials
- Design principles and error analysis for reduced-shear plate-bending finite elements
- A discrete operator calculus for finite difference approximations
- A local support-operators diffusion discretization scheme for quadrilateral \(r\)-\(z\) meshes
- Mimetic finite difference methods for diffusion equations
- Mimetic finite difference methods for diffusion equations on non-orthogonal non-conformal meshes
- A residual based error estimator for the mimetic finite difference method
- Error Analysis for a Mimetic Discretization of the Steady Stokes Problem on Polyhedral Meshes
- A Mimetic Discretization of the Stokes Problem with Selected Edge Bubbles
- A four-node plate bending element based on Mindlin/Reissner plate theory and a mixed interpolation
- A Uniformly Accurate Finite Element Method for the Reissner–Mindlin Plate
- Mixed-interpolated elements for Reissner-Mindlin plates
- The MITC7 and MITC9 Plate bending elements
- A mimetic discretization method for linear elasticity
- Convergence Analysis of the Mimetic Finite Difference Method for Elliptic Problems
- Ana posteriorierror estimator for the mimetic finite difference approximation of elliptic problems
- Mimetic finite differences for elliptic problems
- Numerical Approximation of Mindlin-Reissner Plates
- Polynomial Approximation of Functions in Sobolev Spaces
- ERROR ANALYSIS OF MIXED-INTERPOLATED ELEMENTS FOR REISSNER-MINDLIN PLATES
- Mixed and Hybrid Finite Element Methods
- Uniform convergence of mixed interpolated elements for Reissner-Mindlin plates
- On Mixed Finite Element Methods for the Reissner-Mindlin Plate Model
- Error Estimates for Low-Order Isoparametric Quadrilateral Finite Elements for Plates
- Finite Element Methods for a Modified Reissner--Mindlin Free Plate Model
- A Higher-Order Formulation of the Mimetic Finite Difference Method
- A UNIFIED APPROACH TO MIMETIC FINITE DIFFERENCE, HYBRID FINITE VOLUME AND MIXED FINITE VOLUME METHODS
- Superconvergence of the Velocity in Mimetic Finite Difference Methods on Quadrilaterals
- Convergence of the Mimetic Finite Difference Method for Diffusion Problems on Polyhedral Meshes
- A REFINED ERROR ANALYSIS OF MITC PLATE ELEMENTS
- Study of the mixed finite volume method for Stokes and Navier‐Stokes equations
- A FAMILY OF MIMETIC FINITE DIFFERENCE METHODS ON POLYGONAL AND POLYHEDRAL MESHES
- A tensor artificial viscosity using a mimetic finite differential algorithm
This page was built for publication: A mimetic discretization of the Reissner-Mindlin plate bending problem
