New construction and ultraconvergence of derivative recovery operator for odd-degree rectangular elements

zbMath1079.65549MaRDI QIDQ2386566

Qiding Zhu, Lingxiong Meng

Publication date: 30 August 2005

Published in: Science in China. Series A (Search for Journal in Brave)

zbMATH Keywords

finite element methodsecond-order elliptic equationderivative recovery operatorultraconvergenceleast-squares patch recovery techniqueprojection type interpolation

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) 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)

Related Items (7)

Local superconvergence of the derivative for tensor-product block FEM ⋮ Some superconvergence results of high-degree finite element method for a second order elliptic equation with variable coefficients ⋮ The local superconvergence of the trilinear element for the three-dimensional Poisson problem ⋮ Superconvergence of the high-degree FE method for second-degree elliptic problem with periodic boundary ⋮ Local ultraconvergence of linear and bilinear finite element method for second order elliptic problems ⋮ The ultraconvergence of derivative for bicubic finite element ⋮ Further results on ultraconvergence derivative recovery for odd-order rectangular finite elements

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