Titlebook: Discrete Mechanics A Unified Approach; Hayrettin Kardestuncer Book 1975 Springer-Verlag Wien 1975 engineering.mechanics.physics

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G. F. Hudson,S. Raghavan,D. A. Roylanceiscrete points (nodal points), the finite element method makes use of the governing integral equation at discrete domains (elements). It also differs from the classical variational methods by attempting to minimize the functional over the elements instead of over the whole region.

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Finite Differences,verges to the true-solution u. The derivatives occurring in the differential equation, then, are approximated in terms of discrete changes rather than the rate of changes. This can be accomplished by using either one-sided differences as in the case of ‘backward’ ∇ or ‘forward’ ∆ differences.or in terms of ‘central’ differences

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Finite Elements,iscrete points (nodal points), the finite element method makes use of the governing integral equation at discrete domains (elements). It also differs from the classical variational methods by attempting to minimize the functional over the elements instead of over the whole region.