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The free space Maxwell dielectric problem can be reduced to a system of surface integral equations (SIE). A numerical formulation for the Maxwell dielectric problem using an SIE system presents two key advantages: first, the radiation…

数值分析 · 数学 2018-10-19 M. Ganesh , S. C. Hawkins , C. Jeznach , D. Volkov

Surface integral equation (SIE) methods are of great interest for the efficient electromagnetic modeling of various devices, from integrated circuits to antenna arrays. Existing acceleration algorithms for SIEs, such as the adaptive…

计算工程、金融与科学 · 计算机科学 2021-07-13 Shashwat Sharma , Piero Triverio

We proposed a simple and efficient modular single-source surface integral equation (SS-SIE) formulation for electromagnetic analysis of arbitrarily connected penetrable and perfectly electrical conductor (PEC) objects in two-dimensional…

计算工程、金融与科学 · 计算机科学 2022-02-23 Zekun Zhu , Aipeng Sun , Xiaochao Zhou , Shunchuan Yang , Zhizhang , Chen

A surface integral equation (SIE) formulation under the magneto-quasi-static assumption is proposed to efficiently and accurately model arbitrarily shaped interconnects in packages. Through decently transferring all electromagnetic…

计算工程、金融与科学 · 计算机科学 2022-10-12 Zekun Zhu , Zhizhang Chen , Shunchuan Yang

A preconditioned, multipole-accelerated, Krylov-subspace iterative algorithm for the electromagnetic scattering analysis of three dimensional (3D), arbitrary shaped dielectric structures composed of single and multi-layered dielectric…

计算物理 · 物理学 2017-04-25 Hamid T. Chorsi

A hybrid surface integral equation partial differential equation (SIE-PDE) formulation without the boundary condition requirement is proposed to solve the transverse magnetic (TM) electromagnetic problems. In the proposed formulation, the…

数值分析 · 数学 2022-09-21 Aipeng Sun , Zekun Zhu , Shunchuan Yang , Zhizhang , Chen

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…

计算工程、金融与科学 · 计算机科学 2022-06-03 Aipeng Sun , Zekun Zhu , Shunchuan Yang , Zhizhang Chen

This paper presents a new single-source surface integral equation (SS-SIE) to model composite penetrable objects. In the proposed formulation, the surface electric and magnetic fields on all interior boundaries are first eliminated through…

计算工程、金融与科学 · 计算机科学 2020-08-17 Xiaochao Zhou , Zekun Zhu , Shunchuan Yang

Fast surface integral equation (SIE) solvers seem to be ideal approaches for simulating 3-D nanophotonic devices, as these devices generate fields both in an interior channel and in the infinite exterior domain. However, many devices of…

计算物理 · 物理学 2015-05-18 Lei Zhang , Jung Hoon Lee , Ardavan Oskooi , Amit Hochman , Jacob K. White , Steven G. Johnson

Analyzing electromagnetic fields in complex, multi-material environments presents substantial computational challenges. To address these, we propose a hybrid numerical method that couples discrete exterior calculus (DEC) with surface…

数值分析 · 数学 2026-02-09 Amgad Abdrabou , Luis J. Gomez

A surface integral equation solver is proposed for fast and accurate simulation of interconnects embedded in stratified media. A novel technique for efficient computation of the multilayer Green's function is proposed. Using the Taylor…

计算物理 · 物理学 2019-03-11 Shashwat Sharma , Utkarsh R. Patel , Sean V. Hum , Piero Triverio

A combined source integral equation (CSIE) is constructed on the basis of the electric field integral equation (EFIE) to solve electromagnetic radiation and scattering problems containing perfect electrically conducting bodies. It is…

数值分析 · 数学 2022-06-27 Jonas Kornprobst , Thomas F. Eibert

A single-source surface integral equation (SS-SIE) for transverse electric (TE) scattering from cylindrical multilayered objects is proposed in this paper. By incorporating the differential surface admittance operator (DSAO) and recursively…

计算工程、金融与科学 · 计算机科学 2021-12-15 Zekun Zhu , Xiaochao Zhou , Shunchuan Yang , Zhizhang , Chen

The electromagnetic behavior of plasmonic structures can be predicted after discretizing and solving a linear system of equations, derived from a continuous surface integral equation (SIE) and the appropriate boundary conditions, using a…

计算物理 · 物理学 2015-10-20 Hipolito Gomez-Sousa , Oscar Rubiños-Lopez , Jose Angel Martinez-Lorenzo

The combined source integral equation (CSIE) for the electric field on the surface of a perfect electrically conducting scatterer can be discretized very accurately with lowest-order Rao-Wilton-Glisson basis and testing functions if the…

数值分析 · 数学 2022-06-27 Jonas Kornprobst , Thomas F. Eibert

In theory, diffusion curves promise complex color gradations for infinite-resolution vector graphics. In practice, existing realizations suffer from poor scaling, discretization artifacts, or insufficient support for rich boundary…

数值分析 · 数学 2023-11-27 Seungbae Bang , Kirill Serkh , Oded Stein , Alec Jacobson

Stacked AutoEncoders (SAE) have been widely adopted in edge anomaly detection scenarios. However, the resource-intensive nature of SAE can pose significant challenges for edge devices, which are typically resource-constrained and must adapt…

神经与进化计算 · 计算机科学 2026-03-17 Lizhao Zhang , Shengsong Kong , Tao Guo , Shaobo Li , Zhenzhou Ji

We present an adaptive Chebyshev-based Boundary Integral Equation (CBIE) solver for electromagnetic scattering from smooth perfect electric conductor (PEC) objects. The proposed approach eliminates manual parameter tuning by introducing (i)…

数值分析 · 数学 2026-02-04 Davit Aslanyan , Constantine Sideris

Objective: We developed a hybrid volume surface integral equation (VSIE) method based on domain decomposition to perform fast and accurate magnetic resonance imaging (MRI) simulations that include both remote and local conductive elements.…

The Immersed Boundary method is a simple, efficient, and robust numerical scheme for solving PDE in general domains, yet for fluid problems it only achieves first-order spatial accuracy near embedded boundaries for the velocity field and…

数值分析 · 数学 2017-03-08 David B. Stein , Robert D. Guy , Becca Thomases
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