A Higher Order Hybrid SIE/FEM/SEM Method for the Flexible Electromagnetic Simulation in Layered Medium

Ren, Yi; Chen, Yongpin; Zhan, Qiwei; Niu, Jun; Liu, Qing

doi:10.1109/tgrs.2016.2647618

Cited by 29 publications

(6 citation statements)

References 37 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…F ULL-WAVE electromagnetic simulation has been used in a variety of applications [1]- [3] thanks to the development of successful algorithms and the expansion of processing capability over the past few decades. For these simulation methods, multiple angular responses of electromagnetic wave scattering are a classic challenge in the area of computational electromagnetics.…”

Section: Introductionmentioning

confidence: 99%

An Efficient and Error-Controllable Angular Sweep Algorithm for Electromagnetic Wave Scattering and its Analysis

Lee

Kotulski

Dang

et al. 2023

IEEE Trans. Antennas Propagat.

View full text Add to dashboard Cite

The angular sweep of electromagnetic wave scattering is formulated as a matrix equation with multiple right-hand sides (RHSs). Although the low-rank approximation of an RHS matrix is a popular choice for reducing the computational costs of multiple RHSs, only a small amount of research has been conducted to explore how this approximation impacts the solution quality. Furthermore, there has not been sufficient research on the quality of the solution as a function of the accuracy of the iterative solver. We present an error analysis of the approximated solution considering both the reduced number of RHSs and the tolerance of the iterative solver. Based on the error analysis, a new angular sweep algorithm is proposed with fine-tuned tolerances of the iterative solver for individual singular vectors. The different tolerances for each singular vector increase the efficiency of the proposed algorithm. Another benefit of the proposed algorithm is that the error can be bounded by a user-defined global tolerance. Additionally, a variant of the generalized conjugate residual method for multiple RHSs is introduced to accelerate iterative solvers. Finally, numerical validation is conducted with three examples in which the discontinuous Galerkin surface integral equation method is applied. The experiments support two conclusions: tight upper and lower bounds of the solution error exist, and fine-tuning the tolerances reduces the computational costs.

show abstract

Section: Introductionmentioning

confidence: 99%

An Efficient and Error-Controllable Angular Sweep Algorithm for Electromagnetic Wave Scattering and its Analysis

Lee

Kotulski

Dang

et al. 2023

IEEE Trans. Antennas Propagat.

View full text Add to dashboard Cite

show abstract

“…As a result, each domain cannot be meshed independently, which limits the flexibility and degenerates the efficiency. To overcome this issue, many nonconformal DDMs have been developed over the past years, such as nonconformal FEM-DDMs [24] [25], nonconformal SIE-DDMs [26] [27], nonconformal FE-BI DDMs [28], and nonconformal finite element method boundary element method (FEM-BEM) DDMs [29] [30]. In general, nonconformal meshes on the interfaces are mostly handled based on the transmission conditions, such as the Dirichlet transmission condition [28], the second-order transmission condition [25] [30], and the Robin-type transmission condition [24] [26].…”

Section: Introductionmentioning

confidence: 99%

Nonconformal Domain Decomposition Method Based on the Hybrid SIE-PDE Formulation for Flexible Transverse Magnetic Analysis

Sun¹,

Zhu²,

Yang³

et al. 2022

Preprint

View full text Add to dashboard Cite

A nonconformal domain decomposition method based on the hybrid surface integral equation partial differential equation (SIE-PDE) formulation is proposed to solve the transverse magnetic electromagnetic problems. In the hybrid SIE-PDE formulation, an equivalent model with only the electric current density is first constructed, and then is embedded into the inhomogeneous Helmholtz equation as an excitation. A connection matrix, which couples the interfaces of the SIE and PDE domains, is carefully designed to support nonconformal meshes. Since meshes in each domain are independently generated, it is much more efficient and flexible to model multiscale and complex structures compared with the original hybrid SIE-PDE formulation with conformal meshes. The proposed formulation is efficient, flexible and easy to implement. Its accuracy, efficiency and flexibility are validated by three numerical examples.

show abstract

“…The difficulty for computing the composite problem is that the rough surface is electrically large in actual, which cause the great requirement for efficiency. The numerical algorithm [1, 2] has the advantage of accuracy, while they have the disadvantage of slow computation speed and consuming large storage requirement. The recent developed numerical‐analytical hybrid algorithm is of high accuracy and efficiency.…”

Section: Introductionmentioning

confidence: 99%

Anti‐multipath interference method of semi‐active seek

Tian

Tong

Líu³

et al. 2019

J. eng.

View full text Add to dashboard Cite

A Higher Order Hybrid SIE/FEM/SEM Method for the Flexible Electromagnetic Simulation in Layered Medium

Cited by 29 publications

References 37 publications

An Efficient and Error-Controllable Angular Sweep Algorithm for Electromagnetic Wave Scattering and its Analysis

An Efficient and Error-Controllable Angular Sweep Algorithm for Electromagnetic Wave Scattering and its Analysis

Nonconformal Domain Decomposition Method Based on the Hybrid SIE-PDE Formulation for Flexible Transverse Magnetic Analysis

Anti‐multipath interference method of semi‐active seek

Contact Info

Product

Resources

About