ACCURACY AND CONVERGENCE PROPERTIES OF THE FINITE DIFFERENCE MULTIGRID SOLUTION OF AN OPTIMAL CONTROL OPTIMALITY SYSTEM
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | BORZI, ALFIO | - |
| dc.contributor.author | KUNISCH, KARL | - |
| dc.contributor.author | KWAK, DO Y. | - |
| dc.date.accessioned | 2011-09-27T01:30:54Z | - |
| dc.date.available | 2011-09-27T01:30:54Z | - |
| dc.date.issued | 2003 | - |
| dc.identifier.citation | SIAM J. on Control and Optimization, Vol.41, No.5, pp.1477-1497 | en |
| dc.identifier.issn | 0363-0129 | - |
| dc.identifier.issn | 1095-7138 | - |
| dc.identifier.uri | http://hdl.handle.net/10203/25281 | - |
| dc.description.abstract | The finite difference multigrid solution of an optimal control problem associated with an elliptic equation is considered. Stability of the finite difference optimality system and optimalorder error estimates in the discrete L2 normand in the discrete H1 normunder minimumsm oothness requirements on the exact solution are proved. Sharp convergence factor estimates of the two grid method for the optimality system are obtained by means of local Fourier analysis. A multigrid convergence theory is provided which guarantees convergence of the multigrid process towards weak solutions of the optimality system. | en |
| dc.description.sponsorship | This research was supported in part by the SFB03 “Optimization and Control” and by grant 2000-2-10300-001-5 fromBasic Research Program of KOSEF. | en |
| dc.language.iso | en_US | en |
| dc.publisher | Society for Industrial and Applied Mathematics | en |
| dc.subject | optimal control problem | en |
| dc.subject | Poisson equation | en |
| dc.subject | finite differences | en |
| dc.subject | accuracy estimate | en |
| dc.subject | convergence theory | en |
| dc.subject | multigrid method | en |
| dc.title | ACCURACY AND CONVERGENCE PROPERTIES OF THE FINITE DIFFERENCE MULTIGRID SOLUTION OF AN OPTIMAL CONTROL OPTIMALITY SYSTEM | en |
| dc.type | Article | en |
| dc.identifier.doi | 10.1137/S0363012901393432 | - |
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