Babuška, Ivo; Rheinboldt, W. C. Analysis of optimal finite-element meshes in \(R^1\). (English) Zbl 0431.65055 Math. Comput. 33, 435-463 (1979). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 1 ReviewCited in 47 Documents MSC: 65L10 Numerical solution of boundary value problems involving ordinary differential equations 47E05 General theory of ordinary differential operators 34B05 Linear boundary value problems for ordinary differential equations 65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs 65N15 Error bounds for boundary value problems involving PDEs Keywords:optimal meshes; two-point boundary value problems; linear self-adjoint second order ordinary differential operators; a posteriori estimates; finite element method; asymptotically optimal mesh; numerical examples; rates of convergence PDFBibTeX XMLCite \textit{I. Babuška} and \textit{W. C. Rheinboldt}, Math. Comput. 33, 435--463 (1979; Zbl 0431.65055) Full Text: DOI