Gradient recovery for the Crouzeix-Raviart element

DOI10.1007/s10915-014-9939-5zbMath1325.65153OpenAlexW1963991607MaRDI QIDQ499277

Hailong Guo, Zhimin Zhang

Publication date: 30 September 2015

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-014-9939-5

zbMATH Keywords

finite element methodnumerical examplessuperconvergencegradient recoveryPoisson equationelliptic equationStokes equationCrouzeix-Raviart elementnonconformingpolynomial preservingleast squares fittingsposteriori error estimators

Mathematics Subject Classification ID

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) Navier-Stokes equations (35Q30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (13)

Enriched gradient recovery for interface solutions of the Poisson-Boltzmann equation ⋮ Polynomial preserving recovery on boundary ⋮ Recovery based finite difference scheme on unstructured mesh ⋮ Gradient recovery for elliptic interface problem. II: Immersed finite element methods ⋮ Gradient recovery for elliptic interface problem. III: Nitsche's method ⋮ Polynomial preserving recovery for high frequency wave propagation ⋮ Convergence Analysis of a Discontinuous Galerkin Method for Wave Equations in Second-Order Form ⋮ Parametric Polynomial Preserving Recovery on Manifolds ⋮ Superconvergent flux recovery of the Rannacher-Turek nonconforming element ⋮ Curl recovery for the lowest order rectangular edge element ⋮ Asymptotically Exact A Posteriori Error Estimates of Eigenvalues by the Crouzeix--Raviart Element and Enriched Crouzeix--Raviart Element ⋮ Superconvergent gradient recovery for virtual element methods ⋮ Surface Crouzeix-Raviart element for the Laplace-Beltrami equation

Uses Software

• EasyMesh

Cites Work

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