Uzawa Conjugate Gradient Domain Decomposition Methods for Coupled Stokes Flows
Journal of Scientific Computing
Convergence analysis of optimization-based domain decomposition methods for a bonded structure
Applied Numerical Mathematics
Additive operator decomposition and optimization–based reconnection with applications
LSSC'09 Proceedings of the 7th international conference on Large-Scale Scientific Computing
Numerical Treatment of Elliptic Problems Nonlinearly Coupled Through the Interface
Journal of Scientific Computing
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It has been shown recently that optimization-based nonoverlapping domain decomposition algorithms are connected to many well-known algorithms. Using a gradient-type iterative strategy for the optimization problem, we present further discussion on how to develop various algorithms that can integrate subdomain solvers into a solver for the problem in the whole domain. In particular, the algorithms we discuss can be used to develop efficient solvers of multidisciplinary problems which are constructed using existing subdomain solvers without the need for making changes in the latter.