Implementation of the Second-Order ABC in the FETI-DPEM Method for 3D EM Problems

Li, Yujia; Jin, Jian‐Ming

doi:10.1109/tap.2008.927579

Cited by 15 publications

(17 citation statements)

References 18 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…are defined. Secondly, as our approach is an evolution of the FETI-DPEM2 method [27,28], we recall the main idea of this method. We have deliberately followed the notations proposed in [27,28].…”

Section: Finite Element Tearing and Interconnec-ting Methods And Propomentioning

confidence: 99%

“…Finally the solution of the interface problem serves as the right-handside of each local problem. This method has been applied in many domains like mechanics [19,20], acoustic wave propagation [21][22][23], and in electromagnetism [24][25][26][27][28][29][30][31][32]. For example, related DDM methods have been developed for simulating the interactions of photonic crystals with electromagnetic waves [33,34].…”

Section: Introductionmentioning

confidence: 99%

“…In addition, in order to further improve the convergence of the iterative process and the scalability of the method, one can notice the existence of two techniques: the first one uses the plane wave spectrum operator [21], the second one uses dual-primal techniques which can be seen as coarse grid corrections [22,26,28,36]. In this last method, the corner nodes in 2D or the corner edges in 3D (we denote by "corner" the geometrical entities which belong to more than two subdomains) are extracted from each subdomain and are globally and uniquely numbered.…”

Section: Introductionmentioning

confidence: 99%

“…In particular, a total field formulation and a scattered field formulation are detailed. In Section 3, following the notations used in [28], we present our novel approach and derive the linear system obtained for the various interfaces unknowns, either the corner nodes or the inner interface nodes. In Section 4, we present numerical results obtained for 2D scattering problems with anisotropic materials such as Perfectly Matched Layer (PML) boundary conditions.…”

Section: Introductionmentioning

confidence: 99%

“…In Section 4, we present numerical results obtained for 2D scattering problems with anisotropic materials such as Perfectly Matched Layer (PML) boundary conditions. Comparisons with the results obtained with the already existing FETI-DPEM2 method [28] are displayed. We will also show that our method can handle arbitrary mesh partitions.…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

Scattered Field Computation With an Extended Feti-Dpem2 Method

Voznyuk¹,

Tortel²,

Litman³

2013

PIER

View full text Add to dashboard Cite

Abstract-Due to the increasing number of applications in engineering design and optimization, more and more attention has been paid to full-wave simulations based on computational electromagnetics. In particular, the finite-element method (FEM) is well suited for problems involving inhomogeneous and arbitrary shaped objects. Unfortunately, solving large-scale electromagnetic problems with FEM may be time consuming. A numerical scheme, called the dual-primal finite element tearing and interconnecting method (FETI-DPEM2), distinguishes itself through the partioning on the computation domain into non-overlapping subdomains where incomplete solutions of the electrical field are evaluated independently. Next, all the subdomains are "glued" together using a modified Robin-type transmission condition along each common internal interface, apart from the corner points where a simple Neumann-type boundary condition is imposed. We propose an extension of the FETI-DPEM2 method where we impose a Robin type boundary conditions at each interface point, even at the corner points. We have implemented this Extended FETI-DPEM2 method in a bidimensional configuration while computing the field scattered by a set of heterogeneous, eventually anistropic, scatterers. The results presented here will assert the efficiency of the proposed method with respect to the classical FETI-DPEM2 method, whatever the mesh partition is arbitrary defined.

show abstract

Section: Finite Element Tearing and Interconnec-ting Methods And Propomentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Scattered Field Computation With an Extended Feti-Dpem2 Method

Voznyuk¹,

Tortel²,

Litman³

2013

PIER

View full text Add to dashboard Cite

show abstract

Application of an oblique absorbing boundary condition in the finite element simulation of phased‐array antennas

Xue

Jin

2013

Micro & Optical Tech Letters

Self Cite

View full text Add to dashboard Cite

This article describes the application of an absorbing boundary condition for truncating finite element meshes in the analysis of phased‐array antennas. For a plane wave incident on a planar boundary at a certain specified angle, this boundary condition can be tuned to be reflectionless for all frequencies and polarizations. To demonstrate its application, this boundary condition is implemented in the dual‐primal finite‐element tearing and interconnecting method for simulation of large‐scale phased‐array antennas. A good performance is achieved in terms of accuracy and convergence of the numerical solution. © 2014 Wiley Periodicals, Inc. Microwave Opt Technol Lett 56:178–184, 2014

show abstract

A numerical study of iterative substructuring method for finite element analysis of high frequency electromagnetic fields

Ogino

Takei

Sugimoto

et al. 2016

Computers & Mathematics with Applications

View full text Add to dashboard Cite

This paper describes iterative methods for the high frequency electromagnetic analysis using the finite element method of Maxwell equations including displacement current. The conjugate orthogonal conjugate gradient method has been widely used to solve a complex symmetric system. However, the conventional method suffers from oscillating convergence histories in large-scale analysis. In this paper, to solve large-scale complex symmetric systems arising from the formulation of the E method, an iterative substructuring method like the minimal residual method is presented, and the performance of the convergence of the method is evaluated by numerical results. As the result, the proposed method shows a stable convergence behavior and a fast convergence rate compared to other iterative methods.

show abstract

Implementation of the Second-Order ABC in the FETI-DPEM Method for 3D EM Problems

Cited by 15 publications

References 18 publications

Scattered Field Computation With an Extended Feti-Dpem2 Method

Scattered Field Computation With an Extended Feti-Dpem2 Method

Application of an oblique absorbing boundary condition in the finite element simulation of phased‐array antennas

A numerical study of iterative substructuring method for finite element analysis of high frequency electromagnetic fields

Contact Info

Product

Resources

About