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Optimized Neumann-Neumann method for the Stokes-Darcy problem

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posted on 2023-02-09, 11:32 authored by Marco DiscacciatiMarco Discacciati, Jake Robinson
A novel preconditioner of Neumann-Neumann type for the Stokes-Darcy problem is studied, where optimal weights of the local subproblems that define the preconditioner are obtained by minimizing the convergence rate of the method in the frequency space. Numerical tests show that the preconditioner is robust with respect to both the mesh size and the values of the physical parameters of the problem.

Funding

Domain decomposition methods based on proper generalized decomposition for parametric heterogeneous problems

Engineering and Physical Sciences Research Council

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History

School

  • Science

Department

  • Mathematical Sciences

Published in

Domain Decomposition Methods in Science and Engineering XXVII

Volume

149

Pages

157–164

Source

DD: International Conference on Domain Decomposition Methods

Publisher

Springer

Version

  • AM (Accepted Manuscript)

Rights holder

© The Author(s), under exclusive license to Springer Nature Switzerland AG

Publisher statement

This book chapter was accepted for publication in the book Domain Decomposition Methods in Science and Engineering XXVII and the definitive published version is available at https://doi.org/10.1007/978-3-031-50769-4_18.

Publication date

2024-01-23

Copyright date

2024

ISBN

9783031507687; 9783031507694

ISSN

1439-7358

eISSN

2197-7100

Book series

Lecture Notes in Computational Science and Engineering

Language

  • en

Editor(s)

Zdeněk Dostál; Tomáš Kozubek; Axel Klawonn; Ulrich Langer; Luca F. Pavarino; Jakub Šístek; Olof B. Widlund

Depositor

Dr Marco Discacciati. Deposit date: 8 February 2023

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