Recovery-based a posteriori error analysis for plate bending problems
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Publication:2051101
DOI10.1007/s10915-021-01595-9zbMath1490.65281arXiv2104.01719OpenAlexW3140552819MaRDI QIDQ2051101
Publication date: 1 September 2021
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2104.01719
superconvergencea posteriori error estimatespostprocessingKirchhoff-Love platefourth-order elliptic equationHellan-Herrmann-Johnson method
Plates (74K20) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)
Cites Work
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- \(C^0\) interior penalty methods for fourth order elliptic boundary value problems on polygonal domains
- A posteriori error estimates for continuous/discontinuous Galerkin approximations of the Kirchhoff-love plate
- A posteriori error estimates for the Morley plate bending element
- Superconvergence and a posteriori error estimation for triangular mixed finite elements
- Some observations on Babuška and Brezzi theories
- Quasi-optimal convergence rate for an adaptive hybridizable \(C^0\) discontinuous Galerkin method for Kirchhoff plates
- A discontinuous Galerkin method for the plate equation
- Superconvergent flux recovery of the Rannacher-Turek nonconforming element
- Superconvergent recovery of Raviart-Thomas mixed finite elements on triangular grids
- The Morley element for fourth order elliptic equations in any dimensions
- The finite element method with Lagrangian multipliers
- On the convergence of a mixed finite-element method for plate bending problems
- An a posteriori error indicator for discontinuous Galerkin approximations of fourth-order elliptic problems
- Residual-based a posteriori error estimator for the mixed finite element approximation of the biharmonic equation
- Convergence of an Adaptive Mixed Finite Element Method for Kirchhoff Plate Bending Problems
- A Mixed Method for the Biharmonic Problem Based On a System of First-Order Equations
- A Posteriori Error Estimates Based on Hierarchical Bases
- Energy norm a posteriori error estimates for mixed finite element methods
- Can We Have Superconvergent Gradient Recovery Under Adaptive Meshes?
- Theory of adaptive finite element methods: An introduction
- An a posteriori error estimator for a quadratic C0-interior penalty method for the biharmonic problem
- A posteriori error analysis for the Morley plate element with general boundary conditions
- Mixed and nonconforming finite element methods : implementation, postprocessing and error estimates
- The Hellan-Herrmann-Johnson Method: Some New Error Estimates and Postprocessing
- Analysis of Mixed Methods Using Mesh Dependent Norms
- The superconvergent patch recovery anda posteriori error estimates. Part 1: The recovery technique
- The superconvergent patch recovery anda posteriori error estimates. Part 2: Error estimates and adaptivity
- Asymptotically Exact A Posteriori Error Estimators, Part I: Grids with Superconvergence
- Global Superconvergence of the Lowest-Order Mixed Finite Element on Mildly Structured Meshes
- A Posteriori Estimates for Conforming Kirchhoff Plate Elements
- A Posteriori Error Estimates Based on the Polynomial Preserving Recovery
- Analysis of recovery type a posteriori error estimators for mildly structured grids
- A Convergent Adaptive Algorithm for Poisson’s Equation
- Mixed Finite Element Methods and Applications
- The Mathematical Theory of Finite Element Methods
- Postprocessing schemes for some mixed finite elements
- Superconvergence of both the Crouzeix-Raviart and Morley elements