The Combination of Bcgstab With Multifrontal Algorithm to Solve Febi-Mlfma Linear Systems Arising From Inhomogeneous Electromagnetic Scattering Problems

Xue, Ping; Cui, Tiejun; Lu, Wei

doi:10.2528/pier09050604

Cited by 12 publications

(10 citation statements)

References 23 publications

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“…distributed levels and shared levels [6], according to the characteristic of each level. The detailed analysis and design is mentioned in [14][15][16][17][18]. In this paper, a different partitioning method is proposed to reduce communications based on load balancing.…”

Section: Introductionmentioning

confidence: 99%

Redundant Design of Parallel MLFMA Distributed Levels on a Cluster with Distributed Memory

Cui

Tong

et al. 2010

2010 International Conference on Cyber-Enabled Distributed Computing and Knowledge Discovery

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in this paper, we study and analyze the distributed levels of MLFMA and propose an efficient scheme. This scheme uses the top-down method to construct the distributed levels from the coarsest distributed level which is equally divided. The method can reduce the communications of the ghost boxes compared to the bottom-up method during the aggregation phase. And the non local far-field boxes are redundantly stored and computed using shifting originally during the disaggregation phase, so the downward pass operation does not require communications to obtain the outgoing patterns of these boxes. The numerical results demonstrate that, this strategy can greatly reduce the iterative time and improve parallel efficiency of the whole algorithm effectively.

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Section: Introductionmentioning

confidence: 99%

Redundant Design of Parallel MLFMA Distributed Levels on a Cluster with Distributed Memory

Cui

Tong

et al. 2010

2010 International Conference on Cyber-Enabled Distributed Computing and Knowledge Discovery

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“…To reduce the memory requirement, we employ the multifrontal method [26,27] to factorize the matrix K i II . The multifrontal method is an advanced version of the frontal method proposed by Irons [28], which partitions the whole factorization process into the factorization of a number of small dense frontal matrices [29]. During factorization, only the frontal matrix remains in the core memory.…”

Section: Iterative Domain Decomposition Solvermentioning

confidence: 99%

Efficient Analysis of Scattering From Multiple 3-D Cavities by Means of a Fe-Bi-DDM Method

Cui¹,

Han²,

Li³

et al. 2011

PIER

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Abstract-A finite element-boundary integral-domain decomposition method is presented for analyzing electromagnetic scattering problems involving multiple three-dimensional cavities. Specifically, the edgebased finite element method is applied inside each cavity to derive a linear system of equations associated with unknown fields. The boundary integral equation is then applied on the apertures of all the cavities to truncate the computational domain and to connect the matrix subsystem generated from each cavity. With the help of an iterative domain decomposition method, the coupling system of equations is reduced to a small one which only includes the unknowns on the apertures. To further reduce computational burdens, the multilevel fast multipole algorithm is adopted to solve the reduced system. The numerical results for the near and far fields of several selected multi-cavity problems are presented to demonstrate the validity and capability of the proposed method.

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“…The finite-element method (FEM) is a very flexible approach to study arbitrarily-shaped inhomogeneous and anisotropic dielectric objects, which has significant computational advantages [16,17]. When the scatterer is a body of revolution (BOR), the problem can be efficiently solved using a 2D version of FEM by taking advantage of the rotationally symmetrical property [18,19].…”

Section: Introductionmentioning

confidence: 99%

Three-Dimensional Axisymmetric Invisibility Cloaks With Arbitrary Shapes in Layered-Medium Background

Zhai¹,

Cui²

2011

PIER B

Self Cite

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Abstract-Three-dimensional (3D) axisymmetric invisibility cloaks with arbitrary shaped in layered-media background are presented using the transformation optics. The inner and outer boundaries of the cloaks can be non-conformal with arbitrary shapes, which considerably improve the flexibility of the cloaking applications. However, such kinds of 3D cloaks cannot be simulated using the commercial softwares due to the tremendous memory requirements and CPU time. By taking advantage of the rotationally symmetrical property, we propose an efficient finite-element method (FEM) to simulate and analyze the 3D cloaks, which can greatly reduce the CPU time and memory requirements. The method is based on the electric-field formulation, in which the transverse fields are expanded in terms of second-order edgebased vector basis functions and the azimuth components are expanded using second-order nodal-based scalar basis functions. The FEM mesh is truncated using the absorbing boundary condition. Excellent cloaking performance of the 3D cloaks in layered-media background has been verified by the proposed method.

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The Combination of Bcgstab With Multifrontal Algorithm to Solve Febi-Mlfma Linear Systems Arising From Inhomogeneous Electromagnetic Scattering Problems

Cited by 12 publications

References 23 publications

Redundant Design of Parallel MLFMA Distributed Levels on a Cluster with Distributed Memory

Redundant Design of Parallel MLFMA Distributed Levels on a Cluster with Distributed Memory

Efficient Analysis of Scattering From Multiple 3-D Cavities by Means of a Fe-Bi-DDM Method

Three-Dimensional Axisymmetric Invisibility Cloaks With Arbitrary Shapes in Layered-Medium Background

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