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dc.contributor.authorPotempa,Thom
dc.date.accessioned 2018-06-18T17:23:13Z
dc.date.available 2018-06-18T17:23:13Z
dc.date.issued 1983-11
dc.identifier.citation Potempa,Thom. "A Finite Element Material Balance for Two Dimensional Convection-Diffusion Equations." (1983) https://hdl.handle.net/1911/101567.
dc.identifier.urihttps://hdl.handle.net/1911/101567
dc.description.abstract A consistent finite element material balance is developed for the two dimensional convection-diffusion equation. The resulting numerical scheme is an average of the conventional Galerkin procedure for both the divergence and nondivergence form of the continuity equations. This derivation is valid for finite dimensional approximating spaces having the property that the basis functions sum to unity. Computational molecules are associated with each basis function of the finite dimensional approximating space. The physical significance of coefficients appearing in the resulting material balance governing every computational molecule is discussed. The scheme is compared with standard finite difference procedures. Regularization of the resulting numerical scheme is accomplished by lumping and upstream weighting.
dc.format.extent 21 pp
dc.title A Finite Element Material Balance for Two Dimensional Convection-Diffusion Equations
dc.type Technical report
dc.date.note November 1983
dc.identifier.digital TR83-26a
dc.type.dcmi Text


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