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Journal of Scientific Computing
Erschienen in: Journal of Scientific Computing 3/2020

01.03.2020

A Monolithic Arbitrary Lagrangian–Eulerian Finite Element Analysis for a Stokes/Parabolic Moving Interface Problem

verfasst von: Rihui Lan, Pengtao Sun

Erschienen in: Journal of Scientific Computing | Ausgabe 3/2020

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Abstract

In this paper, an arbitrary Lagrangian–Eulerian (ALE)—finite element method (FEM) is developed within the monolithic approach for a moving-interface model problem of a transient Stokes/parabolic coupling with jump coefficients—a linearized fluid-structure interaction (FSI) problem. A new \(H^1\)-projection is defined for this problem for the first time to account for the mesh motion due to the moving interface. The well-posedness and optimal convergence properties in both the energy norm and \(L^2\) norm are analyzed for this mixed-type \(H^1\)-projection, with which the stability and optimal error estimate in the energy norm are derived for both semi- and fully discrete mixed finite element approximations to the Stokes/parabolic interface problem. Numerical experiments are carried out to validate all theoretical results. The developed analytical approach can be extended to a general FSI problem.
Vorheriger Artikel Arnoldi Method for Large Quaternion Right Eigenvalue Problem
Nächster Artikel A Stabilized Dual Mixed Hybrid Finite Element Method with Lagrange Multipliers for Three-Dimensional Elliptic Problems with Internal Interfaces

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Metadaten
Titel
A Monolithic Arbitrary Lagrangian–Eulerian Finite Element Analysis for a Stokes/Parabolic Moving Interface Problem
verfasst von
Rihui Lan
Pengtao Sun
Publikationsdatum
01.03.2020
Verlag
Springer US
Erschienen in
Journal of Scientific Computing / Ausgabe 3/2020
Print ISSN: 0885-7474
Elektronische ISSN: 1573-7691
DOI
https://doi.org/10.1007/s10915-020-01161-9

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