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Fictitious Domains with Separable Preconditioners Versus Unstructured Adapted Meshes

Institut National de Recherche en Informatique et en AutomatiqueA. Bespalov

出版	Institut National de Recherche en Informatique et en Automatique, 1992
URL	http://books.google.com.hk/books?id=LydCGwAACAAJ&hl=&source=gbs_api

註釋

Abstract: "Fictitious domain approach is a technique to solve partial differential equations on arbitrary domains, [omega], with an iterative method which is preconditioned by the separable linear operator attached to the uniform grid closest to [omega]. It is very fast but it uses grids which are not very smooth near the boundaries. In order to evaluate these methods and compare them with more classical methods like the Finite Element Method on unstructured meshes and the preconditionned [sic] conjugate gradient method, we have applied two of these methods to an industrial problem for which the solution is known: the computation of the pressure distribution of an airfoil with lift in an irrotational flow.