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On the preconditioning of the Schur complement matrix of a class of two-by-two block matrices | ||
| Journal of Mathematical Modeling | ||
| مقاله 8، دوره 12، شماره 4، اسفند 2024، صفحه 723-732 اصل مقاله (164.7 K) | ||
| نوع مقاله: Research Article | ||
| شناسه دیجیتال (DOI): 10.22124/jmm.2024.27939.2458 | ||
| نویسنده | ||
| Davod Khojasteh Salkuyeh* | ||
| Faculty of Mathematical Sciences, University of Guilan, Rasht, Iran | ||
| چکیده | ||
| We consider a class of two-by-two block complex system of linear equations obtained from finite element discretization of the distributed optimal control with time-periodic parabolic equations. Using the Schur complement technique we transform the obtained system to two subsystems. We propose a preconditioner to the subsystem with the Schur complement matrix. Spectral properties of the preconditioned matrix are analyzed. Some numerical results are presented to show the effectiveness of the preconditioner. | ||
| کلیدواژهها | ||
| Preconditioner؛ GMRES؛ finite element؛ PDE-constrained؛ optimization؛ Schur complement | ||
| مراجع | ||
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