Approximation of the solution of a fourth order boundary value problem with nonsmooth coefficient

DOI10.1007/BF01390426zbMath0583.65053OpenAlexW1989991248MaRDI QIDQ1069279

Uday Banerjee, Adam Lutoborski

Publication date: 1986

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

Full work available at URL: https://eudml.org/doc/133144

zbMATH Keywords

finite element methodsoptimal error estimatesmixed methodsfourth orderL-splinesnonsmooth coefficient

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Linear boundary value problems for ordinary differential equations (34B05)

Related Items (2)

Two-point boundary value problems associated to functional differential equations of even order solved by iterated splines ⋮ Approximation of the eigenvalues of a fourth order differential equation with non-smooth coefficients

Cites Work

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• Analysis of finite element methods for second order boundary value problems using mesh dependent norms
• Lower norm error estimates for approximate solutions of differential equations with non-smooth coefficients
• Application of general variational methods with discontinuous fields to bending, buckling, and vibration of beams
• Generalized Finite Element Methods: Their Performance and Their Relation to Mixed Methods

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