Polynomial preserving recovery on boundary

DOI10.1016/j.cam.2016.03.003zbMath1338.65260OpenAlexW2299929859MaRDI QIDQ298213

Qingsong Zou, Zhimin Zhang, Hailong Guo, Ren Zhao

Publication date: 20 June 2016

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2016.03.003

zbMATH Keywords

superconvergencegradient recoverypolynomial preserving

Mathematics Subject Classification ID

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 (13)

Ultraconvergence of finite element method by Richardson extrapolation for elliptic problems with inhomogeneous boundary conditions ⋮ Local ultraconvergence of finite element methods for <scp>second‐order</scp> elliptic problems with singularity ⋮ A C⁰ linear finite element method for a second‐order elliptic equation in non‐divergence form with Cordes coefficients ⋮ An immersed selective discontinuous Galerkin method in particle-in-cell simulation with adaptive Cartesian mesh and polynomial preserving recovery ⋮ A new approach for recovering the gradient and a posteriori error estimates ⋮ Function, derivative and high-order derivatives recovery methods using the local symmetry projection ⋮ Hessian recovery based finite element methods for the Cahn-Hilliard equation ⋮ A \(C^0\) linear finite element method for biharmonic problems ⋮ A recovery-based linear \(C^0\) finite element method for a fourth-order singularly perturbed Monge-Ampère equation ⋮ Local ultraconvergence of quadratic element ⋮ Superconvergent gradient recovery for virtual element methods ⋮ Polynomial preserving recovery for a class of weak Galerkin finite element methods ⋮ Polynomial preserving recovery and a posteriori error estimates for the two-dimensional quad-curl problem

Uses Software

• COMSOL
• Triangle

Cites Work

• Unnamed Item
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