.In this paper,an augmented Lagrangian Uzawa iterative method is developed and analyzed for solving a class of double saddle-point systems with semidefinite(2,2)block.Convergence of the iterativemethod is proved under....In this paper,an augmented Lagrangian Uzawa iterative method is developed and analyzed for solving a class of double saddle-point systems with semidefinite(2,2)block.Convergence of the iterativemethod is proved under the assumption that the double saddle-point problem exists a unique solution.An application of the iterative method to the double saddle-point systems arising from the distributed Lagrange multiplier/fictitious domain(DLM/FD)finite element method for solving elliptic interface problems is also presented,in which the existence and uniqueness of the double saddle-point system is guaranteed by the analysis of the DLM/FD finite element method.Numerical experiments are conducted to validate the theoretical results and to study the performance of the proposed iterative method.展开更多
Distributed Lagrange Multiplier/Fictitious Domain (DLM/FD) method was employed to simulate the channel flow with polymer suspension. The polymer molecules were modeled as Finitely Extensible Nonlinear Elastic (FENE...Distributed Lagrange Multiplier/Fictitious Domain (DLM/FD) method was employed to simulate the channel flow with polymer suspension. The polymer molecules were modeled as Finitely Extensible Nonlinear Elastic (FENE) chains and FENE chain cluster. The coiled stretched transition of FENE chains was examined and the change in configuration of FENE chains was presented. The average velocity profile of the fully developed channel flow with 64 FENE chains was given and fitted well with the power-law curve. The change of chain cluster configuration was also simulated. These simulations show that DLM/FD method is capable of simulating the motion of not only FENE chain, but also FENE chain cluster.展开更多
目前对于金属氧化物避雷器阀片(ZnO阀片)的研究尚不全面,尤其缺乏针对其小电流区介电特性的研究。笔者依据ZnO阀片内部微观结构提出其介电等效电路模型,并通过测量频域介电谱(FDS)曲线的方法辨识该等效模型电气参数。本研究模拟避雷器...目前对于金属氧化物避雷器阀片(ZnO阀片)的研究尚不全面,尤其缺乏针对其小电流区介电特性的研究。笔者依据ZnO阀片内部微观结构提出其介电等效电路模型,并通过测量频域介电谱(FDS)曲线的方法辨识该等效模型电气参数。本研究模拟避雷器阀片长时间交流老化的环境进行试验,并对不同老化程度的阀片样品进行FDS测量,使用粒子群算法与最小二乘算法相结合的智能融合算法对等效模型进行参数辨识,结果表明该融合算法辨识出来的模型参数能在1 m Hz~5000 Hz范围内对实测FDS曲线进行高精度重构,从而达到描述其介电特性的目的。本研究为今后研究基于等效模型参数变化的避雷器老化受潮评价方法提供新的思路。展开更多
基金supported by the 10 plus 10 project of Tongji University(No.4260141304/004/010).
文摘.In this paper,an augmented Lagrangian Uzawa iterative method is developed and analyzed for solving a class of double saddle-point systems with semidefinite(2,2)block.Convergence of the iterativemethod is proved under the assumption that the double saddle-point problem exists a unique solution.An application of the iterative method to the double saddle-point systems arising from the distributed Lagrange multiplier/fictitious domain(DLM/FD)finite element method for solving elliptic interface problems is also presented,in which the existence and uniqueness of the double saddle-point system is guaranteed by the analysis of the DLM/FD finite element method.Numerical experiments are conducted to validate the theoretical results and to study the performance of the proposed iterative method.
文摘Distributed Lagrange Multiplier/Fictitious Domain (DLM/FD) method was employed to simulate the channel flow with polymer suspension. The polymer molecules were modeled as Finitely Extensible Nonlinear Elastic (FENE) chains and FENE chain cluster. The coiled stretched transition of FENE chains was examined and the change in configuration of FENE chains was presented. The average velocity profile of the fully developed channel flow with 64 FENE chains was given and fitted well with the power-law curve. The change of chain cluster configuration was also simulated. These simulations show that DLM/FD method is capable of simulating the motion of not only FENE chain, but also FENE chain cluster.
文摘目前对于金属氧化物避雷器阀片(ZnO阀片)的研究尚不全面,尤其缺乏针对其小电流区介电特性的研究。笔者依据ZnO阀片内部微观结构提出其介电等效电路模型,并通过测量频域介电谱(FDS)曲线的方法辨识该等效模型电气参数。本研究模拟避雷器阀片长时间交流老化的环境进行试验,并对不同老化程度的阀片样品进行FDS测量,使用粒子群算法与最小二乘算法相结合的智能融合算法对等效模型进行参数辨识,结果表明该融合算法辨识出来的模型参数能在1 m Hz~5000 Hz范围内对实测FDS曲线进行高精度重构,从而达到描述其介电特性的目的。本研究为今后研究基于等效模型参数变化的避雷器老化受潮评价方法提供新的思路。