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

DOI10.1007/s10483-014-1869-9zbMath1298.65116OpenAlexW2395874201MaRDI QIDQ469064

Si Yuan, Yan Du, Qin-yan Xing, Kang-sheng Ye

Publication date: 10 November 2014

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

Full work available at URL: https://doi.org/10.1007/s10483-014-1869-9

zbMATH Keywords

nonlinearitysuperconvergencefinite element method (FEM)element energy projection (EEP)ordinary differential equation (ODE)self-adaptive analysis

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) 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 (3)

Condensed Galerkin element of degree \(m\) for first-order initial-value problem with \(O(h^{2m+2})\) super-convergent nodal solutions ⋮ Recursive super-convergence computation for multi-dimensional problems via one-dimensional element energy projection technique ⋮ Adaptive Finite Element Method of Lines with Local Mesh Refinement in Maximum Norm Based on Element Energy Projection Method

Cites Work

• Self-adaptive strategy for one-dimensional finite element method based on element energy projection method
• Self-adaptive strategy for one-dimensional finite element method based on EEP method with optimal super-convergence order
• On small zeros of quadratic forms over finite fields (II)
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