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1-奇异变换半群T_(n)(1)的格林关系
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作者 徐波 卢琳璋 游泰杰 《厦门大学学报(自然科学版)》 CAS CSCD 北大核心 2023年第3期477-480,共4页
设自然数n≥4,X_(n)={1,2,…,n},考虑了X_(n)上全变换半群T_(n)的1-奇异变换构成的子半群T_(n)(1),通过构造分析法得到了T_(n)(1)上的格林关系的等价刻画.
关键词 1-奇异变换 半群 格林关系
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A projection method and Kronecker product preconditioner for solving Sylvester tensor equations 被引量:5
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作者 CHEN Zhen lu linzhang 《Science China Mathematics》 SCIE 2012年第6期1281-1292,共12页
The preconditioned iterative solvers for solving Sylvester tensor equations are considered in this paper.By fully exploiting the structure of the tensor equation,we propose a projection method based on the tensor form... The preconditioned iterative solvers for solving Sylvester tensor equations are considered in this paper.By fully exploiting the structure of the tensor equation,we propose a projection method based on the tensor format,which needs less flops and storage than the standard projection method.The structure of the coefficient matrices of the tensor equation is used to design the nearest Kronecker product(NKP) preconditioner,which is easy to construct and is able to accelerate the convergence of the iterative solver.Numerical experiments are presented to show good performance of the approaches. 展开更多
关键词 Sylvester tensor equation Schur decomposition projection method nearest Kronecker product(NKP) PRECONDITIONING
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Prediction and validation of tonal noise from underwater propellers 被引量:1
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作者 XIONG Ziying ZHU Xiqing +1 位作者 lu linzhang HUANG Hongbo 《Chinese Journal of Acoustics》 CSCD 2016年第1期57-70,共14页
Prediction and validation of low-frequency line spectrum noise from ship propeller under non-cavitating condition is presented.The flow field is analyzed with potential-based panel method,which requires the hydrodynam... Prediction and validation of low-frequency line spectrum noise from ship propeller under non-cavitating condition is presented.The flow field is analyzed with potential-based panel method,which requires the hydrodynamic forces to be integrated over the actual blade surface,rather than over the mean-chord surface.Then the pressure data is used as the input for Ffowcs Williams-Hawkings formulation to predict the far field acoustics.At the same time,propeller unsteady force is measured in hull-behind condition in China Large Cavitation Channel(CLCC).Line spectrum noise of the 1st blade passage frequency(BPF) of a five-bladed propeller operating in a non-uniform flow field is got according to the calculated and measured unsteady forces,in which good agreement is obtained,and the 1st BPF noise difference is within 3.0 dB.The investigation reveals that prediction precision of the propeller's 1st BPF unsteady force with panel method have reached engineering practical degree,providing significant parameters for prediction of propeller line spectrum noise. 展开更多
关键词 unsteady Prediction validation hydrodynamic panel formulation underwater acoustics chord passage
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