Work

Optimized Neumann-Neumann method for the Stokes-Darcy problem

Year: 2023

Type: preprint

Abstract: 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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2304.12728

Authors: Discacciati, Marco, Robinson, Jake

Institution: Loughborough University

Language: English

Topic: Advanced Numerical Methods in Computational Mathematics

Subfield: Computational Mechanics

Field: Engineering

Domain: Physical Sciences

Open Access status: green

Funder: Engineering and Physical Sciences Research Council

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

OpenAlex ID: W4367060860

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