The Interface Control Domain Decomposition Method for Stokes--Darcy Coupling
نویسندگان
چکیده
منابع مشابه
Interface control domain decomposition (ICDD) method for Stokes-Darcy coupling
We propose the ICDD method to solve the coupling between Stokes and Darcy equations. According to this approach, the problem is formulated as an optimal control problem whose control variables are the traces of the velocity and the pressure on the internal boundaries of the subdomains that provide an overlapping decomposition of the original computational domain. A theoretical analysis is carri...
متن کاملThe interface control domain decomposition (ICDD) method for Stokes-Darcy coupling
The ICDD method [15, 16] is here proposed to solve the coupling between Stokes and Darcy equations. According to this approach, the problem is formulated as an optimal control problem whose control variables are the traces of the velocity and the pressure on the internal boundaries of the subdomains that provide an overlapping decomposition of the original computational domain. A theoretical an...
متن کاملRobin-Robin Domain Decomposition Methods for the Stokes-Darcy Coupling
In this paper we consider a coupled system made of the Stokes and Darcy equations, and we propose some iteration-by-subdomain methods based on Robin conditions on the interface. We prove the convergence of these algorithms, and for suitable finite element approximations we show that the rate of convergence is independent of the mesh size h. A special attention is paid to the optimization of the...
متن کاملDomain decomposition for coupled Stokes and Darcy flows
Article history: Received 23 September 2011 Received in revised form 12 September 2013 Accepted 16 September 2013 Available online 25 September 2013
متن کاملThe Interface Control Domain Decomposition (ICDD) method for the Stokes problem
Laboratori de Càlcul Numèric (LaCàN), Escola Tècnica Superior d’Enginyers de Camins, Canals i Ports de Barcelona (ETSECCPB), Universitat Politècnica de Catalunya (UPC BarcelonaTech), Campus Nord UPC C2, E-08034 Barcelona, Spain DICATAM, Università di Brescia, via Branze 38, I-25123 Brescia, Italy MOX, Politecnico di Milano, P.zza Leonardo da Vinci 32, I-20133 Milano, Italy and MATHICSE, Chair o...
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ژورنال
عنوان ژورنال: SIAM Journal on Numerical Analysis
سال: 2016
ISSN: 0036-1429,1095-7170
DOI: 10.1137/15m101854x