Trujillo, R. V.: "Error Analysis of the Finite Volume Element Method for Elliptic and Parabolic Partial Di#erential Equations", Ph.D. thesis (Applied Mathematics) , University of Colorado at Denver, 1996  Home/Search   Document Details and Download   Summary   Related Articles

....0.3 0.4 0.5 0.6 0.7 0.8 X Comparison of element types Overhauser elements Linear elements Figure 5.8: Comparison of Overhauser and linear element for permeability representation of the variable coe#cient di#usion equation can produce more accurate results than the conservative forms. Trujillo [73] presents an analysis of the conservation properties of finite volume and the Galerkin finite element method for elliptic and parabolic equations. If this analysis is confined to steady state flow the global conservation law is: # # (k#p) nd# = 0 (5.46) The weak form of the finite volume ....

....finite volume and the Galerkin finite element method for elliptic and parabolic equations. If this analysis is confined to steady state flow the global conservation law is: # # (k#p) nd# = 0 (5.46) The weak form of the finite volume method is: # # e (k#p) nd#=0 ## e (5. 47) Trujillo [73] states this implies the finite volume method is conservative because Equation (5.47) closely mimics the global conservation law given in (5.46) The weak form of the Galerkin finite element does not mimic Equation (5.47) so accordingly this method is not conservative. Conservative finite element ....

Trujillo, R. V.: "Error Analysis of the Finite Volume Element Method for Elliptic and Parabolic Partial Di#erential Equations", Ph.D. thesis (Applied Mathematics) , University of Colorado at Denver, 1996

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