New error estimates of biquadratic Lagrange elements for Poisson's equation.

DOI10.1016/j.apnum.2005.06.003zbMath1091.65111OpenAlexW2107876597MaRDI QIDQ2490731

Hung-Tsai Huang, Zi Cai Li, Aihui Zhou

Publication date: 18 May 2006

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2005.06.003

zbMATH Keywords

finite elementsnumerical examplesPoisson's equationerror boundsLagrange elementsultraconvergencebiquadratic elementsglobal superconvergence

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) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

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