Precise finite element error analysis by Yamamoto's explicit inversion formula for tridiagonal matrices -- an extension of Babuška-Osborn's theorems

DOI10.1007/S00211-002-0423-ZzbMath1044.65068OpenAlexW2052388901MaRDI QIDQ1402175

Takuya Tsuchiya

Publication date: 19 August 2003

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

Full work available at URL: https://doi.org/10.1007/s00211-002-0423-z

zbMATH Keywords

convergenceerror estimateslinear finite elements

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) Error bounds for numerical methods for ordinary differential equations (65L70) Linear boundary value problems for ordinary differential equations (34B05)

Related Items (2)

Yamamoto's principle and its applications to precise finite element error analysis. ⋮ An interpretation of the Scharfetter-Gummel finite difference scheme

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