Galerkin's method and stability

DOI10.1002/mma.1670020308zbMath0457.65034OpenAlexW1985523498MaRDI QIDQ3907000

Jones, D. S.

Publication date: 1980

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.1670020308

zbMATH Keywords

stabilityconvergenceerror boundsGalerkin's methodleast squarespositive-definite operatorsspeared systemsstrongly minimal systems

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Numerical solutions to equations with linear operators (65J10) Equations and inequalities involving linear operators, with vector unknowns (47A50) Approximation by arbitrary linear expressions (41A45)

Cites Work

• Unnamed Item
• Analysis of Generalised Galerkin methods in the numerical solution of elliptic equations
• Round-off Errors and Stability in Variational Calculations
• On the Convergence Rates of Variational Methods II Systems of Type B, C

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