Improved ZZ a posteriori error estimators for diffusion problems: discontinuous elements
From MaRDI portal
Publication:2227661
DOI10.1016/j.apnum.2020.09.005zbMath1460.65143OpenAlexW3085298144MaRDI QIDQ2227661
Cuiyu He, Shun Zhang, Zhi-qiang Cai
Publication date: 15 February 2021
Published in: Applied Numerical Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.apnum.2020.09.005
adaptive mesh refinementdiffusion interface problemimproved ZZ a posteriori error estimationnonconforming and discontinuous Galerkin methods
Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)
Related Items
Recovery strategies, a posteriori error estimation, and local error indication for second‐order G/XFEM and FEM, Least-squares methods with nonconforming finite elements for general second-order elliptic equations, An anisotropic recovery-based error estimator for adaptive discontinuous Galerkin methods
Cites Work
- A posteriori error estimates for HDG methods
- A coercive bilinear form for Maxwell's equations
- Analysis of the superconvergent patch recovery technique and a posteriori error estimator in the finite element method. I.
- Flux reconstruction for the \(P2\) nonconforming finite element method with application to a posteriori error estimation
- A posteriori error estimates for a discontinuous Galerkin method applied to elliptic problems
- Analysis of the superconvergent patch recovery technique and a posteriori error estimator in the finite element method. II
- Improved ZZ a posteriori error estimators for diffusion problems: conforming linear elements
- An accurate \(\mathbf H\)(div) flux reconstruction for discontinuous Galerkin approximations of elliptic problems
- Asymptotically exact a posteriori estimators for the pointwise gradient error on each element in irregular meshes. Part 1: A smooth problem and globally quasi-uniform meshes
- Robust Equilibrated Residual Error Estimator for Diffusion Problems: Conforming Elements
- Residual-based a posteriori error estimate for interface problems: Nonconforming linear elements
- Discontinuous Finite Element Methods for Interface Problems: Robust A Priori and A Posteriori Error Estimates
- Recovery-Based Error Estimators for Interface Problems: Mixed and Nonconforming Finite Elements
- Discontinuous Galerkin Finite Element Methods for Interface Problems: A Priori and A Posteriori Error Estimations
- A Posteriori Error Estimation for Discontinuous Galerkin Finite Element Approximation
- Recovery-Based Error Estimator for Interface Problems: Conforming Linear Elements
- An Inexpensive Method for the Evaluation of the Solution of the Lowest Order Raviart–Thomas Mixed Method
- A simple error estimator and adaptive procedure for practical engineerng analysis
- 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
- Conforming and nonconforming finite element methods for solving the stationary Stokes equations I
- On the poisson equation with intersecting interfaces
- Edge Residuals Dominate A Posteriori Error Estimates for Low Order Finite Element Methods
- Some remarks on Zienkiewicz‐Zhu estimator
- Asymptotically exact a posteriori estimators for the pointwise gradient error on each element in irregular meshes. Part II: The piecewise linear case
- Polynomial-Degree-Robust A Posteriori Estimates in a Unified Setting for Conforming, Nonconforming, Discontinuous Galerkin, and Mixed Discretizations
- Robust A Posteriori Error Estimation for Nonconforming Finite Element Approximation
- An experimental survey of a posteriori Courant finite element error control for the Poisson equation
- A posteriori error estimates on irregular grids based on gradient recovery
- A posteriori error estimators for elliptic equations with discontinuous coefficients
