Superconvergence of both the Crouzeix-Raviart and Morley elements

DOI10.1007/s00211-015-0729-2zbMath1352.65436arXiv1408.1286OpenAlexW1235794892MaRDI QIDQ5964942

Jun Hu, Rui Ma

Publication date: 2 March 2016

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

Full work available at URL: https://arxiv.org/abs/1408.1286

zbMATH Keywords

numerical examplesbiharmonic equationsuperconvergenceCrouzeix-Raviart finite element methodHellan-Herrmann-Johnson elementmixed finite elementMorley finite element methodPossion problemRaviart-Thomas element

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) Error bounds for boundary value problems involving PDEs (65N15) 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) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (14)

Superconvergence of three dimensional Morley elements on cuboid meshes for biharmonic equations ⋮ Convergence and superconvergence of the local discontinuous Galerkin method for semilinear second-order elliptic problems on Cartesian grids ⋮ High accuracy analysis of an \(H^1\)-Galerkin mixed finite element method for two-dimensional time fractional diffusion equations ⋮ New Fourth Order Postprocessing Techniques for Plate Bending Eigenvalues by Morley Element ⋮ Superconvergence Analysis of $C^m$ Finite Element Methods for Fourth-Order Elliptic Equations I: One Dimensional Case ⋮ Nonconforming modified quasi-Wilson finite element method for convection-diffusion-reaction equation ⋮ Global Superconvergence of the Lowest-Order Mixed Finite Element on Mildly Structured Meshes ⋮ Superconvergent flux recovery of the Rannacher-Turek nonconforming element ⋮ Optimal superconvergence analysis for the Crouzeix-Raviart and the Morley elements ⋮ Superconvergence of discontinuous Galerkin methods for elliptic boundary value problems ⋮ Recovery-based a posteriori error analysis for plate bending problems ⋮ Asymptotically Exact A Posteriori Error Estimates of Eigenvalues by the Crouzeix--Raviart Element and Enriched Crouzeix--Raviart Element ⋮ Superconvergence of the Crouzeix-Raviart element for elliptic equation ⋮ Asymptotic expansions of eigenvalues by both the Crouzeix–Raviart and enriched Crouzeix–Raviart elements

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