Analysis of Generalised Galerkin methods in the numerical solution of elliptic equations

DOI10.1002/mma.1670010102zbMath0428.65058OpenAlexW1987665382MaRDI QIDQ3865400

A. R. Mitchell, Robert S. Anderssen

Publication date: 1979

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

Full work available at URL: https://doi.org/10.1002/mma.1670010102

zbMATH Keywords

collocationelliptic equationweighted residualsGalerkinfinite dimensional trial and test spacesPetrov-Galerkin projection method

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Boundary value problems for second-order elliptic equations (35J25) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items

Petrov-Galerkin methods for nonlinear dispersive waves, Galerkin's method and stability

Cites Work

• Stability of the Rayleigh-Ritz procedure for nonlinear two-point boundary value problems
• The method of weighted residuals and variational principles. With application in fluid mechanics, heat and mass transfer
• On a class of K-p.d. and non-K-p.d. operators and operator equations
• Direct and Iterative Methods for the Solution of Linear Operator Equations in Hilbert Space
• On Galerkin Methods in Semilinear Parabolic Problems
• On the condition number of certain Rayleigh-Ritz-Galerkin matrices
• Finite element methods for second order differential equations with significant first derivatives
• The Solution of Linear Operator Equations
• A high order projection method for nonlinear two point boundary value problems
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