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Optimal control in heterogeneous domain decomposition methods
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V. I. Agoshkov
Published/Copyright:
2005
Some new domain decomposition methods (DDM) based on optimal control approach are introduced for the coupling of first- and second-order equations on overlapping subdomains. Several cost functionals and control functions are proposed. Uniqueness and existence results are proved for the coupled problem and the convergence of iterative processes is analyzed.
Published Online: --
Published in Print: 2005-06-01
Copyright 2005, Walter de Gruyter
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Articles in the same Issue
- On 80th anniversary of Gurii I. Marchuk
- Optimal control in heterogeneous domain decomposition methods
- Computational aspects of time-lag models of Marchuk type that arise in immunology
- Matrix analysis of mixed finite element methods for the diffusion equation. I
- Variable time steps optimization of Lω -stable Crank–Nicolson method
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