报告主题:Preconditioned Iteration Method for Stokes Control Problems
报告人:王增琦 副教授 (上海交通大学)
报告时间:2019年6月12日(周三)15:30
报告地点:校本部G507
邀请人:张建军
报告摘要:In this talk, we study the numerical behavior of preconditioned modified Hermitian/skew-Hermitian splitting (PMHSS) iteration method and PMHSS preconditioner for solving the Stokes control problems. The theoretical results show that PMHSS iteration method is convergent as the spectral radius of the iterative matrix is less than \sqrt{2}/2. The PMHSS preconditioner clusters the eigenvalues on a unitary line segment. The PMHSS preconditioner induces parameter-free and mesh-size free flexible GMRES method. A more practical preconditioner is proposed to avoid the inner iteration. The eigenvalues distribution of the preconditioned matrix is described to guarantee the efficiency
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