Eliminating the Gibbs phenomenon: the non-linear Petrov-Galerkin method for the convection-diffusion-reaction equation

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Eliminating the Gibbs phenomenon: the non-linear Petrov-Galerkin method for the convection-diffusion-reaction equation

In this thesis we consider the numerical approximation of the convection-diffusion-reaction equation. One of the main challenges of designing a numerical method for this problem is that boundary and interior layers typically present in the convection-dominated case can lead to non-physical oscillati...

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Bibliographic Details
Main Author:	Roggendorf, Sarah
Format:	Thesis (University of Nottingham only)
Language:	English
Published:	2019
Subjects:	Convection-Diffusion Equation Gibbs phenomenon Inf-Sup Condition Galerkin Methods Petrov-Galerkin Methods FEM Well-Posedness Banach Spaces Elliptic Regularity Best Approximation L^q
Online Access:	https://eprints.nottingham.ac.uk/59436/

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