AMENOAGBADJI, Mr Pierre (2019) The Discrete Galerkin Method for One-dimensional Fredholm Integral Equations PRE - Research Project, ENSTA.



The Matlab library BIEPack provides abstract implementations of numerical methods for one-dimensional Fredholm integral equations. The library has been used for academic purposes and is meant to form a basis for work on Master theses and initial stages of PhD projects. The present report outlines some extensions carried out on BIEPack. A discrete Galerkin method is developped for integral operators with smooth or weakly singular kernels defined on domains with smooth boundaries. A support with piecewise polynomial function spaces is also introduced for projection methods. The choices made throughout the procedure of construction are then analysed using a set of examples based on Laplace Dirichlet and Laplace Robin problems

Item Type:Thesis (PRE - Research Project)
Subjects:Mathematics and Applications
ID Code:7502
Deposited By:Pierre Amenoagbadji
Deposited On:30 sept. 2020 10:19
Dernière modification:30 sept. 2020 10:19

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