Self-adaptive strategy for one-dimensional finite element method based on EEP method with optimal super-convergence order

DOI10.1007/s10483-008-0504-8zbMath1231.65122OpenAlexW1483073627MaRDI QIDQ940621

Si Yuan, Xu Wang, Qin-yan Xing, Kang-sheng Ye

Publication date: 1 September 2008

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

Full work available at URL: https://doi.org/10.1007/s10483-008-0504-8

zbMATH Keywords

finite element method (FEM)super-convergenceoptimal convergence orderelement energy projectionself-adaptive solutioncondensed shape functions

Mathematics Subject Classification ID

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)

Related Items (6)

Condensed Galerkin element of degree \(m\) for first-order initial-value problem with \(O(h^{2m+2})\) super-convergent nodal solutions ⋮ Interesting activities discovery for moving objects based on collaborative filtering ⋮ An adaptive FEM for buckling analysis of nonuniform Bernoulli-Euler members via the element energy projection technique ⋮ Self-adaptive one-dimensional nonlinear finite element method based on element energy projection method ⋮ Nonlinear stability and convergence of two-step Runge-Kutta methods for neutral delay differential equations ⋮ Adaptive Finite Element Method of Lines with Local Mesh Refinement in Maximum Norm Based on Element Energy Projection Method

Uses Software

• COLSYS

Cites Work

• Self-adaptive strategy for one-dimensional finite element method based on element energy projection method
• Mathematical analysis of EEP method for one-dimensional finite element postprocessing
• Galerkin approximations for the two point boundary problem using continuous, piecewise polynomial spaces
• Computation of super-convergent nodal stresses of Timoshenko beam elements by EEP method
• A Posteriori Error Analysis of Finite Element Solutions for One-Dimensional Problems
• 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
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