Approximation of 3D Stokes flows in fractal domains

Massimo Cefalo; Simone Creo; Mirko Gallo; Maria Rosaria Lancia; Paola Vernole

doi:10.1007/978-3-030-61803-2_2

Approximation of 3D Stokes flows in fractal domains

Massimo Cefalo
, Simone Creo
, Mirko Gallo
, Maria Rosaria Lancia
, Paola Vernole

University of Rome La Sapienza

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

Abstract

We study a Stokes flow in a cylindrical-type fractal domain with homogeneous Dirichlet boundary conditions. We consider its numerical approximation by mixed methods: finite elements in space and finite differences in time. We introduce a suitably refined mesh à la Grisvard, which in turn will allow us to obtain an optimal a priori error estimate.

Original language	English
Title of host publication	Fractals in engineering
Subtitle of host publication	theoretical aspects and numerical approximations
Editors	Maria Rosaria Lancia, Anna Rozanova-Pierrat
Place of Publication	Cham, Switzerland
Publisher	Springer Cham
Pages	27-53
Number of pages	27
ISBN (Electronic)	9783030618032
ISBN (Print)	9783030618025, 9783030618056
DOIs	https://doi.org/10.1007/978-3-030-61803-2_2
Publication status	Published - 21 Dec 2020
Externally published	Yes

Publication series

Name	SEMA SIMAI Springer Series
Volume	8
ISSN (Print)	2199-3041
ISSN (Electronic)	2199-305X

Keywords

Finite elements
Fractals
Stokes equation
Weighted Sobolev spaces

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10.1007/978-3-030-61803-2_2Licence: Other

Cite this

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title = "Approximation of 3D Stokes flows in fractal domains",

abstract = "We study a Stokes flow in a cylindrical-type fractal domain with homogeneous Dirichlet boundary conditions. We consider its numerical approximation by mixed methods: finite elements in space and finite differences in time. We introduce a suitably refined mesh {\`a} la Grisvard, which in turn will allow us to obtain an optimal a priori error estimate.",

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author = "Massimo Cefalo and Simone Creo and Mirko Gallo and Lancia, \{Maria Rosaria\} and Paola Vernole",

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Approximation of 3D Stokes flows in fractal domains. / Cefalo, Massimo; Creo, Simone; Gallo, Mirko et al.
Fractals in engineering: theoretical aspects and numerical approximations. ed. / Maria Rosaria Lancia; Anna Rozanova-Pierrat. Cham, Switzerland: Springer Cham, 2020. p. 27-53 (SEMA SIMAI Springer Series; Vol. 8).

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

TY - CHAP

T1 - Approximation of 3D Stokes flows in fractal domains

AU - Cefalo, Massimo

AU - Creo, Simone

AU - Gallo, Mirko

AU - Lancia, Maria Rosaria

AU - Vernole, Paola

PY - 2020/12/21

Y1 - 2020/12/21

N2 - We study a Stokes flow in a cylindrical-type fractal domain with homogeneous Dirichlet boundary conditions. We consider its numerical approximation by mixed methods: finite elements in space and finite differences in time. We introduce a suitably refined mesh à la Grisvard, which in turn will allow us to obtain an optimal a priori error estimate.

AB - We study a Stokes flow in a cylindrical-type fractal domain with homogeneous Dirichlet boundary conditions. We consider its numerical approximation by mixed methods: finite elements in space and finite differences in time. We introduce a suitably refined mesh à la Grisvard, which in turn will allow us to obtain an optimal a priori error estimate.

KW - Finite elements

KW - Fractals

KW - Stokes equation

KW - Weighted Sobolev spaces

U2 - 10.1007/978-3-030-61803-2_2

DO - 10.1007/978-3-030-61803-2_2

M3 - Chapter

AN - SCOPUS:85102879576

SN - 9783030618025

SN - 9783030618056

T3 - SEMA SIMAI Springer Series

SP - 27

EP - 53

BT - Fractals in engineering

A2 - Rosaria Lancia, Maria

A2 - Rozanova-Pierrat, Anna

PB - Springer Cham

CY - Cham, Switzerland

ER -

Approximation of 3D Stokes flows in fractal domains

Abstract

Publication series

Keywords

Access to Document

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Cite this