Variational theorems and stepwise mean convergence of approximations to self-adjoint linear systems by general finite sums

DOI10.1007/BF01178239zbMath0423.35007OpenAlexW220203404MaRDI QIDQ1134292

S. H. Smith

Publication date: 1980

Published in: Acta Mechanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01178239

zbMATH Keywords

variational theoremsapproximations to self- adjoint linear systems by general finite sumsstepwise mean convergence

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite difference methods for boundary value problems involving PDEs (65N06) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99) Numerical methods for partial differential equations, boundary value problems (65N99)

Related Items (2)

A general solution method to the interactive boundary value problems of linear differential systems ⋮ A general solution procedure in elastostatics with multiply-connected regions with applications to mode III fracture mechanics problems

Cites Work

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• Mean convergence of approximation to a function by general finite sums
• The Determination of Upper and Lower Bounds for the Solution of the Dirichlet Problem
• Upper and lower bounds for the solution of the first boundary value problem of elasticity
• An extension of the method of Trefftz for finding local bounds on the solutions of boundary value problems, and on their derivatives

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