A Discontinuous Galerkin Augmented Electric Field Integral Equation for Multiscale Electromagnetic Scattering Problems

Hou, Yibei; Xiao, Gaobiao; Tian, Xuezhe

doi:10.1109/tap.2017.2702716

Cited by 13 publications

(2 citation statements)

References 31 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…It has wide applications in modeling wave propagation in complex environments [1,2]. Domain decomposition schemes are often adopted so that targets with different scales can be modeled separately [3,4]. Several innovative algorithms have been developed for improving the efficiency [5,6].…”

Section: Introductionmentioning

confidence: 99%

Modeling of Multiscale Wave Interactions Based on an Iterative Scheme of MoM-PO-EPA Algorithm

Guo

et al. 2022

Electronics

View full text Add to dashboard Cite

Electromagnetic modeling of multiscale wave interactions is a challenging task. This is because wave physics exhibit different characteristics at different length scales that require suitable modeling algorithms. Combining these algorithms to model multiscale wave physics requires careful design and tuning. In this study, we investigated a hybrid algorithm based on the method of moment (MoM), iterative physical optics (IPO) approximation, and the equivalence principle algorithm (EPA). EPA modeled targets with details, MoM modeled targets with moderate scales, and IPO modeled electrically large scatterers. The virtual equivalence surfaces in EPA worked as interfaces between relatively large and small scatterers. An iterative scheme is used to solve the targets instead of a matrix equation with large dimensions. This algorithm achieved a good balance between accuracy and efficiency. Numerical examples of modeling the plane-wave scattering of multiscale targets verify its performance for 2D and 3D problems. The iterative scheme can become faster and need less memory usage when solving the multiscale scatterers.

show abstract

Section: Introductionmentioning

confidence: 99%

Modeling of Multiscale Wave Interactions Based on an Iterative Scheme of MoM-PO-EPA Algorithm

Guo

et al. 2022

Electronics

View full text Add to dashboard Cite

show abstract

“…By independently meshing each subdomain and developing a preconditioner based on the domain decomposition, the mesh generation process can be significantly simplified, and the condition of the matrix is improved . DG‐SIE methods have been developed for PEC targets and for homogeneous dielectric objects . However, objects with IBC have not been treated with this technique.…”

Section: Introductionmentioning

confidence: 99%

A discontinuous Galerkin surface integral equation method for scattering from IBC targets

Kong

Ylä‐Oijala

Sihvola

2019

Int J Numerical Modelling

View full text Add to dashboard Cite

A discontinuous Galerkin (DG) surface integral equation method is proposed for electromagnetic scattering from targets with the impedance boundary condition (IBC). We present electric field integral equation (EFIE), magnetic field integral equation (MFIE), and self‐dual integral equation formulations for the problem and study their numerical performance. On the basis of the results of these experiments, DG is developed for EFIE and MFIE (DG‐EFIE and DG‐MFIE). The convergence of the iterative solutions and the solution accuracy of DG‐EFIE and DG‐MFIE are further investigated for a wide range of surface impedances. The numerical performance of these formulations is found to be nearly complementary with respect to the surface impedance. The capability of the proposed DG solution strategy for calculating scattering from large multiscale IBC targets is demonstrated.

show abstract

A VSIE based time domain discontinuous Galerkin method for composite conducting dispersive dielectric objects

Zhao

Ding

2022

Engineering Analysis with Boundary Elements

View full text Add to dashboard Cite

A Discontinuous Galerkin Augmented Electric Field Integral Equation for Multiscale Electromagnetic Scattering Problems

Cited by 13 publications

References 31 publications

Modeling of Multiscale Wave Interactions Based on an Iterative Scheme of MoM-PO-EPA Algorithm

Modeling of Multiscale Wave Interactions Based on an Iterative Scheme of MoM-PO-EPA Algorithm

A discontinuous Galerkin surface integral equation method for scattering from IBC targets

A VSIE based time domain discontinuous Galerkin method for composite conducting dispersive dielectric objects

Contact Info

Product

Resources

About