## A spectrum preserving collocation scheme for Slender-Body Approximations to Stokes Flow

• Linearized flows past slender bodies can be asymptotically described by a linear Fredholm integral equation. A collocation method to solve this equation is presented. In cases where the spectral representation of the integral operator is explicitly known, the collocation method recovers the spectrum of the continuous operator. The approximation error is estimated for two discretizations of the integral operator and the convergence is proved. The collocation scheme is validated in several test cases and extended to situations where the spectrum is not explicit.

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Verfasserangaben: Thomas Götz urn:nbn:de:hbz:386-kluedo-10554 Berichte der Arbeitsgruppe Technomathematik (AGTM Report) (234) Preprint Englisch 2000 2000 Technische Universität Kaiserslautern 22.08.2000 Integral Equations ; Numerics; Slender-Body Approximations ; Stokes Flow Fachbereich Mathematik 5 Naturwissenschaften und Mathematik / 510 Mathematik 65-XX NUMERICAL ANALYSIS / 65Rxx Integral equations, integral transforms / 65R20 Integral equations Standard gemäß KLUEDO-Leitlinien vor dem 27.05.2011

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