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Title: A class of Petrov-Galerkin finite element methods for the numerical solution of the stationary convection-diffusion equation.
Author: Perella, Andrew James
ISNI:       0000 0001 3483 6525
Awarding Body: Durham University
Current Institution: Durham University
Date of Award: 1996
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A class of Petrov-Galerkin finite element methods is proposed for the numerical solution of the n dimensional stationary convection-diffusion equation. After an initial review of the literature we describe this class of methods and present both asymptotic and nonasymptotic error analyses. Links are made with the classical Galerkin finite element method and the cell vertex finite volume method. We then present numerical results obtained for a selection of these methods applied to some standard test problems. We also describe extensions of these methods which enable us to solve accurately for derivative values of the solution.
Supervisor: Not available Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available
Keywords: Partial differential equations; Nonsymmetric