A Domain Decomposition Method With Nonconformal Meshes for Finite Periodic and Semi-Periodic Structures

Zhao, Kun; Rawat, Vineet; Lee, Seung‐Cheol; Lee, Jin‐Fa

doi:10.1109/tap.2007.904107

Cited by 132 publications

(96 citation statements)

References 22 publications

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“…Among the different schemes proposed in order to solve large scale models and preserve the versatility of the method, one can cite the Domain Decomposition Method (DDM) and its different evolutions [15][16][17][18].…”

Section: Introductionmentioning

confidence: 99%

Scattered Field Computation With an Extended Feti-Dpem2 Method

Voznyuk¹,

Tortel²,

Litman³

2013

PIER

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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.

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Section: Introductionmentioning

confidence: 99%

Scattered Field Computation With an Extended Feti-Dpem2 Method

Voznyuk¹,

Tortel²,

Litman³

2013

PIER

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“…Previously, a MS-DDM was proposed by Zhao et al (2007) for well-separated targets, which has been extended by Wang et al (2011) for treating multiregional EM problems with touching subdomains. Specifically, in Wang et al (2011), the MS-DDM has been applied to compute the isolations among multiple antennae mounted on a large air platform at the X-band.…”

Section: Multi-solver Domain Decomposition Methodsmentioning

confidence: 99%

Non-conformal domain decomposition methods for time-harmonic Maxwell equations

et al. 2012

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We review non-conformal domain decomposition methods (DDMs) and their applications in solving electrically large and multi-scale electromagnetic (EM) radiation and scattering problems. In particular, a finite-element DDM, together with a finite-element tearing and interconnecting (FETI)-like algorithm, incorporating Robin transmission conditions and an edge corner penalty term, are discussed in detail. We address in full the formulations, and subsequently, their applications to problems with significant amounts of repetitions. The non-conformal DDM approach has also been extended into surface integral equation methods. We elucidate a non-conformal integral equation domain decomposition method and a generalized combined field integral equation method for modelling EM wave scattering from non-penetrable and penetrable targets, respectively. Moreover, a plane wave scattering from a composite mockup fighter jet has been simulated using the newly developed multi-solver domain decomposition method.

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“…To solve the matrix equation in (3.35), we first apply a block-diagonal preconditioner, which is similar to the additive Schwarz procedure (Lions 1990;Zhao et al 2007). We have…”

Section: (E) Finite-dimensional Discretizationmentioning

confidence: 99%

Thermal-aware DC IR-drop co-analysis using non-conformal domain decomposition methods

2012

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Almost all practical engineering applications are multi-physics in nature, and various physical phenomena usually interact and couple with each other. For instance, the resistivity of most conducting metals increases linearly with increases in the surrounding temperature resulting from Joule heating by electrical currents flowing through conductors. Therefore, in order to accurately characterize the performance of high-power integrated circuits (ICs), packages and printed circuit boards (PCBs), it is essential to account for both electrical and thermal effects and the intimate couplings between them. In this paper, we present non-conformal, non-overlapping domain decomposition methods (DDMs) for thermal-aware direct current (DC) IR drop co-analysis of high-power chippackage-PCBs. Here, IR stands for the finite resistivity (R) of metals and current (I) drawn off from the power/ground planes. The proposed DDM starts by partitioning the composite device into inhomogeneous sub-regions with temperature-dependent material properties. Subsequently, each sub-domain is meshed independently according to its own characteristic features. As a consequence, the troublesome mesh-generation task for complex ICs can be greatly subdued. The proposed thermal-aware DC IR drop co-analysis applies the non-conformal DDM for both conduction and steady-state heattransfer analyses with a two-way coupling between them. Numerical examples, including an IC package and a chip-package-PCB, demonstrate the flexibility and potential of the proposed thermal-aware DC IR-drop co-analysis using non-conformal DDMs.

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A Domain Decomposition Method With Nonconformal Meshes for Finite Periodic and Semi-Periodic Structures

Cited by 132 publications

References 22 publications

Scattered Field Computation With an Extended Feti-Dpem2 Method

Scattered Field Computation With an Extended Feti-Dpem2 Method

Non-conformal domain decomposition methods for time-harmonic Maxwell equations

Thermal-aware DC IR-drop co-analysis using non-conformal domain decomposition methods

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