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On the relationship between the finite element and finite difference methods
The integral equations which arise from application of the Galerkin-finite element to the convective-diffusion equation are examined to illustrate how this method represents differential equations. The formulae obtained are effectively spatial averages of standard finite difference equations written at a node. The truncation error in the finite element solution at a node is obtained for various nodal configurations.
On the relationship between the finite element and finite difference methods
The integral equations which arise from application of the Galerkin-finite element to the convective-diffusion equation are examined to illustrate how this method represents differential equations. The formulae obtained are effectively spatial averages of standard finite difference equations written at a node. The truncation error in the finite element solution at a node is obtained for various nodal configurations.
On the relationship between the finite element and finite difference methods
Ueber die Beziehung zwischen der Methode der Finiten Elemente und der Methode der finiten Differenzen
Gray, W.G. (author) / Pinder, G.F. (author)
International Journal for Numerical Methods in Engineering ; 10 ; 893-923
1976
31 Seiten, 5 Quellen
Article (Journal)
English
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