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dc.creatorMoran, Daniel L.
dc.description.abstractThis thesis studies the convergence of a singularly perturbed two-dimensional problem of the convection-diflfusion type. The problem is solved using the bilinear finite element method on a Shishkin Mesh. This thesis will consider the results of two separate types of Shishkin Meshes, as well as a quick consideration of the uniform mesh and its shortcomings. Results will show a superconvergence rate close to 0 using a discrete energy norm. Results will also consider stability of the method by examining the condition number of the element stiffness matrix.
dc.publisherTexas Tech Universityen_US
dc.subjectFluid dynamicsen_US
dc.subjectDifferential equationsen_US
dc.subjectReaction-diffusion equationsen_US
dc.subjectFinite element methoden_US
dc.titleSuperconvergence of convection-diffusion equations in two dimensions

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