We study a Stokes flow in a cylindrical-type fractal domain with homogeneousDirichlet boundary conditions. We consider its numerical approximation bymixed methods: finite elements in space and finite differences in time. We intro-duce a suitably refined mesh `a la Grisvard, which in turn will allow us to obtainan optimal a priori error estimate

Approximation of 3D Stokes flows in fractal domains / Lancia, Maria Rosaria; Creo, Simone; Cefalo, Massimo; Gallo, Mirko; Venole, Paola. - (2021), pp. 27-53. - SEMA SIMAI SPRINGER SERIES. [10.1007/978-3-030-61803-2_2].

Approximation of 3D Stokes flows in fractal domains

Maria rosaria lancia;Simone creo
;
Massimo cefalo;Mirko gallo;
2021

Abstract

We study a Stokes flow in a cylindrical-type fractal domain with homogeneousDirichlet boundary conditions. We consider its numerical approximation bymixed methods: finite elements in space and finite differences in time. We intro-duce a suitably refined mesh `a la Grisvard, which in turn will allow us to obtainan optimal a priori error estimate
Fractals in engineering: Theoretical Aspects and Numerical Approximations
978-3-030-61802-5
stokes equations; fractals; weighted Sobolev spaces; finite elements;
02 Pubblicazione su volume::02a Capitolo o Articolo
Approximation of 3D Stokes flows in fractal domains / Lancia, Maria Rosaria; Creo, Simone; Cefalo, Massimo; Gallo, Mirko; Venole, Paola. - (2021), pp. 27-53. - SEMA SIMAI SPRINGER SERIES. [10.1007/978-3-030-61803-2_2].
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Note: DOI 10.1007/978-3-030-61803-2_2
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/1470850
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