Self-adaptive strategy for one-dimensional finite element method based on element energy projection method

DOI10.1007/s10483-006-1103-1zbMath1231.65121OpenAlexW2010652359MaRDI QIDQ940141

Si Yuan, Xue-feng He

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/s10483-006-1103-1

zbMATH Keywords

finite element method (FEM)super-convergenceordinary differential equation (ODE)element energy projectionself-adaptive solution

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 (5)

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

Uses Software

• COLSYS

Cites Work

• 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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