Superconvergence of elliptic reconstructions of finite element solutions of parabolic problems in domains with piecewise smooth boundaries

DOI10.1016/j.cma.2012.05.023zbMath1354.65198OpenAlexW2006708129MaRDI QIDQ503301

Delin Wang, Theofanis Strouboulis, Ivo M. Babuška

Publication date: 12 January 2017

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cma.2012.05.023

zbMATH Keywords

error estimationsuperconvergenceparabolic problemelliptic reconstruction

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Related Items (2)

Guaranteed a-posteriori error estimation for semi-discrete solutions of parabolic problems based on elliptic reconstruction ⋮ Convergence and superconvergence of variational discretization for parabolic bilinear optimization problems

Cites Work

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• A non-intrusive method for the calculation of strict and efficient bounds of calculated outputs of interest in linear viscoelasticity problems
• Goal-oriented error estimation for transient parabolic problems
• Adaptive finite elements for flow problems with moving boundaries. I. Variational principles and a posteriori estimates
• Elliptic problems in domains with piecewise smooth boundaries
• A posteriori finite element bounds for linear-functional outputs of elliptic partial differential equations
• A postprocessed Galerkin method with Chebyshev or Legendre polynomials
• On goal-oriented error estimation for elliptic problems: Application to the control of pointwise errors
• A posteriori estimation and adaptive control of the error in the quantity of interest. I: A posteriori estimation of the error in the von Mises stress and the stress intensity factor
• A postprocess based improvement of the spectral element method
• The computation of bounds for linear-functional outputs of weak solutions to the two-dimensional elasticity equations
• Elliptic reconstruction and a posteriori error estimates for fully discrete linear parabolic problems
• An approximate inertial manifolds approach to postprocessing the Galerkin method for the Navier-Stokes equations
• Postprocessing the Galerkin Method: a Novel Approach to Approximate Inertial Manifolds
• Guaranteeda posteriori error estimation for fully discrete solutions of parabolic problems
• Elliptic Reconstruction and a Posteriori Error Estimates for Parabolic Problems
• A Spectral Element Method for the Navier--Stokes Equations with Improved Accuracy
• Computing Bounds for Linear Functionals of Exact Weak Solutions to Poisson's Equation
• Postprocessing the Linear Finite Element Method
• Postprocessing the Galerkin Method: The Finite-Element Case
• Mastering Calculations in Linear and Nonlinear Mechanics
• The generalized finite element method
• A posteriori error estimation for the semidiscrete finite element method of parabolic differential equations

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