Weakly over-penalized discontinuous Galerkin schemes for Reissner-Mindlin plates without the shear variable

DOI10.1007/s00211-014-0672-7zbMath1401.65128OpenAlexW2067746317MaRDI QIDQ2350735

Paulo Rafael Bösing, Carsten Carstensen

Publication date: 25 June 2015

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00211-014-0672-7

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items (3)

A Discontinuous Petrov–Galerkin Method for Reissner–Mindlin Plates ⋮ An ultraweak formulation of the Reissner-Mindlin plate bending model and DPG approximation ⋮ A discrete de Rham method for the Reissner-Mindlin plate bending problem on polygonal meshes

Uses Software

• PZ

Cites Work

• Unnamed Item
• Higher order weakly over-penalized symmetric interior penalty methods
• Discontinuous Galerkin with weakly over-penalized techniques for Reissner-Mindlin plates
• A family of discontinuous Galerkin finite elements for the Reissner-Mindlin plate
• A finite element method with discontinuous rotations for the Mindlin-Reissner plate model
• A priori and a posteriori analysis for a locking-free low order quadrilateral hybrid finite element for Reissner-Mindlin plates
• \(hp\)-version a priori error analysis of interior penalty discontinuous Galerkin finite element approximations to the biharmonic equation
• A priori and a posteriori error analysis for a family of Reissner-Mindlin plate elements
• Locking-free Reissner-Mindlin elements without reduced integration
• \(hp\)-version interior penalty DGFEMs for the biharmonic equation
• PZ: An object oriented environment for scientific programming
• A discontinuous Galerkin method for the Reissner-Mindlin plate in the primitive variables.
• Nonconforming locking-free finite elements for Reissner-Mindlin plates
• Residual-based a posteriori error estimate for a mixed Reißner-Mindlin plate finite element method
• Analysis of a Linear–Linear Finite Element for the Reissner–Mindlin Plate Model
• A new error analysis for discontinuous finite element methods for linear elliptic problems
• A NEW INTERIOR PENALTY DISCONTINUOUS GALERKIN METHOD FOR THE REISSNER–MINDLIN MODEL
• A Uniformly Accurate Finite Element Method for the Reissner–Mindlin Plate
• The Boundary Layer for the Reissner–Mindlin Plate Model
• Numerical Approximation of Mindlin-Reissner Plates
• On Mixed Finite Element Methods for the Reissner-Mindlin Plate Model
• Conforming and nonconforming finite element methods for solving the stationary Stokes equations I
• Convergence of nonconforming multigrid methods without full elliptic regularity
• Residual-Based A Posteriori Error Estimate for a Nonconforming Reissner--Mindlin Plate Finite Element
• Korn's inequalities for piecewise $H^1$ vector fields
• Two-level additive Schwarz preconditioners for nonconforming finite element methods
• Locking-free finite elements for the Reissner-Mindlin plate
• Error analysis of discontinuous Galerkin methods for the Stokes problem under minimal regularity
• Sharp Expressions for the Stabilization Parameters in Symmetric Interior-penalty Discontinuous Galerkin Finite Element Approximations of Fourth-order Elliptic Problems
• A posteriori error analysis for conforming MITC elements for Reissner-Mindlin plates
• A Posteriori Error Analysis of the Linked Interpolation Technique for Plate Bending Problems
• Discontinuous Galerkin Elements for Reissner-Mindlin Plates
• A Low-order Nonconforming Finite Element for Reissner--Mindlin Plates

This page was built for publication: Weakly over-penalized discontinuous Galerkin schemes for Reissner-Mindlin plates without the shear variable