Abstract
Galerkin methods have been used to solve problems in structural mechanics, dynamics, fluid flow, hydrodynamic stability, magnetohydrodynamics, heat and mass transfer, acoustics, microwave theory, neutron transport, etc. Problems governed by ordinary differential equations, partial differential equations, and integral equations have been investigated via a Galerkin formulation. Steady, unsteady, and eigenvalue problems have proved to be equally amenable to a Galerkin treatment. Essentially, any problem for which governing equations can be written down is a candidate for a Galerkin method.
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Fletcher, C.A.J. (1984). Traditional Galerkin Methods. In: Computational Galerkin Methods. Springer Series in Computational Physics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-85949-6_1
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DOI: https://doi.org/10.1007/978-3-642-85949-6_1
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