Recursive super-convergence computation for multi-dimensional problems via one-dimensional element energy projection technique

DOI10.1007/s10483-018-2345-7zbMath1397.65122OpenAlexW2805359649WikidataQ129720368 ScholiaQ129720368MaRDI QIDQ1787413

Si Yuan, Yue Wu, Qin-yan Xing

Publication date: 5 October 2018

Published in: AMM. Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10483-018-2345-7

zbMATH Keywords

super-convergenceelement energy projection (EEP)dimension-by-dimension (D-by-D)generalized one-dimensional (1D) finite element method (FEM)three-dimensional (3D) problem

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50)

Cites Work

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• Computation of super-convergent nodal stresses of Timoshenko beam elements by EEP method
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• 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
• A‐posteriori error estimates for the finite element method
• Superconvergent patch recovery of finite‐element solution and a posteriori L₂ norm error estimate

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