Error bounds for the Galerkin method applied to singular and nonsingular boundary value problems

DOI10.1007/BF01404697zbMath0244.65075MaRDI QIDQ2554949

J. G. Pierce, J. W. Dailey

Publication date: 1972

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/132153

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Variational methods for higher-order elliptic equations (35J35)

Related Items (9)

Projektive Newton-Verfahren und Anwendungen auf nichtlineare Randwertaufgaben ⋮ Unnamed Item ⋮ Das Differenzenverfahren für singuläre Rand-Eigenwertaufgaben gewöhnlicher Differentialgleichungen ⋮ Method of moments for singular problems ⋮ Error bounds for finite element solutions of mildly nonlinear elliptic boundary value problems ⋮ Der Einfluß\ von Randsingularitäten beim Ritzschen Verfahren ⋮ Higher order convergence results for the Rayleigh-Ritz method applied to eigenvalue problems. I: Improved error bounds for eigenfunctions ⋮ On spline functions determined by singular self-adjoint differential operators ⋮ On uniform approximation by certain generalized spline functions

Cites Work

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• Higher order convergence results for the Rayleigh-Ritz method applied to eigenvalue problems. I: Improved error bounds for eigenfunctions
• On spline functions determined by singular self-adjoint differential operators
• Error bounds for spline and L-spline interpolation

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