On the linear finite element approximation for two-point boundary value problems

DOI10.1016/S0377-0427(97)00062-9zbMath0887.65086OpenAlexW2061333454MaRDI QIDQ1375444

Bo Liu

Publication date: 25 May 1998

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0377-0427(97)00062-9

zbMATH Keywords

Galerkin methodweak formulationnumerical examplesfinite elementerror boundssingularitypiecewise linear

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Error bounds for numerical methods for ordinary differential equations (65L70)

Cites Work

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• A fourth order method for the Sturm-Liouville eigenproblem
• On Richardson extrapolation for finite difference methods on regular grids
• On the convergence of finite-difference approximations to one-dimensional singular boundary-value problems
• Finite Element Methods of High-Order Accuracy for Singular Two-Point Boundary Value Problems with Nonsmooth Solutions