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Title: Approximate approximations for the Poisson and the Stokes equations
Authors: Samrowski, Tatiana S.Varnhorn, Werner
???metadata.dc.subject.ddc???: 510 - Mathematik (Mathematics)
Issue Date: 2006
Series/Report no.: Mathematische Schriften Kassel06, 09
Abstract: The method of approximate approximations is based on generating functions representing an approximate partition of the unity, only. In the present paper this method is used for the numerical solution of the Poisson equation and the Stokes system in R^n (n = 2, 3). The corresponding approximate volume potentials will be computed explicitly in these cases, containing a one-dimensional integral, only. Numerical simulations show the efficiency of the method and confirm the expected convergence of essentially second order, depending on the smoothness of the data.
URI: urn:nbn:de:hebis:34-2007032817552
Appears in Collections:Mathematische Schriften Kassel

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