AN OPTIMIZATION-BASED DOMAIN DECOMPOSITION METHOD FOR NONLINEAR WALL LAWS IN COUPLED SYSTEMS-Reference-Cited by-同舟云学术

AN OPTIMIZATION-BASED DOMAIN DECOMPOSITION METHOD FOR NONLINEAR WALL LAWS IN COUPLED SYSTEMS

Published:2004-07 Issue:07 Volume:14 Page:1085-1101
ISSN:0218-2025
Container-title:Mathematical Models and Methods in Applied Sciences
language:en
Short-container-title:Math. Models Methods Appl. Sci.

Author:

BRESCH DIDIER¹,KOKO JONAS²

Affiliation:

1. Laboratoire de Mathématiques Appliquées, CNRS UMR 6620, Université Blaise Pascal, 63177 Aubière cedex, France

2. LIMOS, Université Blaise Pascal, CNRS UMR 6158, ISIMA, Campus des Cézeaux, BP 10125, 63173 Aubière cedex, France

Abstract

We study an optimization-based domain decomposition method for a nonlinear wall law in a coupled system. The problem is restated as a saddle-point problem by introducing as a new variable the displacement jump across the interface. Then the minimization step of the saddle-point problem corresponds to the equilibrium equations stated in each subdomain with Lagrange multiplier as interface force. The maximization step corresponds to maximizing a (nonlinear) strictly concave functional. This could have a lot of applications in geophysical flows such as coupling ocean and atmosphere, free surface and groundwater flows.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modeling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218202504003556

Reference20 articles.

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