The Interface Control Domain Decomposition (ICDD) Method for Elliptic Problems
نویسندگان
چکیده
منابع مشابه
The Interface Control Domain Decomposition (ICDD) Method for Elliptic Problems
Interface controls are unknown functions used as Dirichlet or Robin boundary data on the interfaces of an overlapping decomposition designed for solving second order elliptic boundary value problems. The controls are computed through an optimal control problem with either distributed or interface observation. Numerical results show that, when interface observation is considered, the resulting i...
متن کاملInterface 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 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...
متن کاملA Parallel Nonoverlapping Schwarz Domain Decomposition Method for Elliptic Interface Problems
We present a parallel nonoverlapping Schwarz domain decomposition method with interface relaxation for linear elliptic problems, possibly with discontinuities in the solution and its derivatives. This domain decomposition method can be characterized as: the transmission conditions at the interface of subdomains are taken to be Dirichlet at odd iterations and Neumann at even iterations. The conv...
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ژورنال
عنوان ژورنال: SIAM Journal on Control and Optimization
سال: 2013
ISSN: 0363-0129,1095-7138
DOI: 10.1137/120890764