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The modeling of electric machines and power transformers typically involves systems of nonlinear magnetostatics or -quasistatics, and their efficient and accurate simulation is required for the reliable design, control, and optimization of…

数值分析 · 数学 2024-08-23 Herbert Egger , Felix Engertsberger , Bogdan Radu

In this work, we introduce new methods for the quantization, decomposition, and extraction (from electromagnetic simulations) of lumped-element circuit models for superconducting quantum devices. Our flux-charge symmetric procedures center…

量子物理 · 物理学 2024-12-11 Basil M. Smitham , Andrew A. Houck

We construct a finite element approximation of a strain-limiting elastic model on a bounded open domain in $\mathbb{R}^d$, $d \in \{2,3\}$. The sequence of finite element approximations is shown to exhibit strong convergence to the unique…

数值分析 · 数学 2020-04-02 Andrea Bonito , Vivette Girault , Endre Süli

We propose a new unfitted finite element method for simulation of two-phase flows in presence of insoluble surfactant. The key features of the method are 1) discrete conservation of surfactant mass; 2) the possibility of having meshes that…

数值分析 · 数学 2022-11-30 Thomas Frachon , Sara Zahedi

In this paper, finite element method is applied to Leland's model for numerical simulation of option pricing with transaction costs. Spatial finite element models based on P1 and/or P2 elements are formulated in combination with a…

计算金融 · 定量金融 2020-10-27 Dongming Wei , Yogi Ahmad Erlangga , Gulzat Zhumakhanova

Entanglement membrane theory is an effective coarse-grained description of entanglement dynamics and operator growth in chaotic quantum many-body systems. The fundamental quantity characterizing the membrane is the entanglement line…

量子物理 · 物理学 2024-09-30 Michael A. Rampp , Suhail A. Rather , Pieter W. Claeys

We present the results of a finite-element solution of the Laplace equation for the silicon-based trench-isolated double quantum-dot and the capacitively-coupled single-electron transistor device architecture. This system is a candidate for…

量子物理 · 物理学 2007-05-23 S. Rahman , J. Gorman , C. H. W. Barnes , D. A. Williams , H. P. Langtangen

Transport through a one-dimensional wire of interacting electrons connected to semi infinite leads is investigated using a bosonization approach. The dynamic nonlocal conductivity is rigorously expressed in terms of the transmission. For…

介观与纳米尺度物理 · 物理学 2008-02-03 Inès Safi , H. J. Schulz

High impedance connecting links and cables are modeled at low frequency in terms of their impedance to ground and to neigbouring connecting links. The impedance is usually considered to be the parallel combination of a resistance and a…

仪器与探测器 · 物理学 2013-07-18 Andrea Giachero , Claudio Gotti , Matteo Maino , Gianluigi Pessina

A numerical modeling study based on 3D finite element method (FEM) simulation and 1D analytical solutions has been carried out to evaluate the capabilities of two ac methods for measuring in-plane thermal conductivity of thin film deposited…

应用物理 · 物理学 2020-12-22 Hanfu Wang , Yanjun Guo , Kaiwu Peng , Weiguo Chu , Guangming Chen

We present a 3D hybrid method which combines the Finite Element Method (FEM) and the Spectral Boundary Integral method (SBIM) to model nonlinear problems in unbounded domains. The flexibility of FEM is used to model the complex,…

数值分析 · 数学 2021-02-18 Gabriele Albertini , Ahmed Elbanna , David S. Kammer

In this paper we describe a computational model for the simulation of fluid-structure interaction problems based on a fictitious domain approach. We summarize the results presented over the last years when our research evolved from the…

数值分析 · 数学 2021-04-29 Daniele Boffi , Lucia Gastaldi

In this paper we study the variational method and integral equation methods for a conical diffraction problem for imperfectly conducting gratings modeled by the impedance boundary value problem of the Helmholtz equation in periodic…

数值分析 · 数学 2025-08-05 Guanghui Hu , Jiayi Zhang , Linlin Zhu

The current state of the art for analytical and computational modelling of deformation in nonlinear electroelastic and magnetoelastic membranes is reviewed. A general framework and a list of methods to model large deformation and associated…

经典物理 · 物理学 2021-04-15 Prashant Saxena

The finite cell method (FCM) belongs to the class of immersed boundary methods, and combines the fictitious domain approach with high-order approximation, adaptive integration and weak imposition of unfitted Dirichlet boundary conditions.…

数值分析 · 数学 2018-07-04 Dominik Schillinger , Quanji Cai , Ralf-Peter Mundani , Ernst Rank

A finite difference method (FDM) applicable to a two dimensional (2D) quantum dot was developed as a non-conventional approach to the theoretical understandings of quantum devices. This method can be applied to a realistic potential with an…

介观与纳米尺度物理 · 物理学 2013-12-16 Jai Seok Ahn

We develop a method to extract the universal conductance of junctions of multiple quantum wires, a property of systems connected to reservoirs, from static ground-state computations in closed finite systems. The method is based on a key…

强关联电子 · 物理学 2012-01-31 Armin Rahmani , Chang-Yu Hou , Adrian Feiguin , Masaki Oshikawa , Claudio Chamon , Ian Affleck

This paper describes a simplified model of an electric circuit with a DC-DC converter and a PID-regulator as a system of integral differential equations with an identically singular matrix multiplying the higher derivative of the desired…

系统与控制 · 电气工程与系统科学 2024-08-20 E. V. Chistyakova , D. N. Sidorov , A. V. Domyshev , V. F. Chistyakov

High frequency transformers are an integral part of power electronics devices and their parasitic parameters influence the performance and efficiency of the overall system. In this paper, transformer leakage inductances and parasitic…

系统与控制 · 电气工程与系统科学 2019-08-16 Mohamad Saleh Sanjarinia , Sepehr Saadatmand , Pourya Shamsi , Mehdi Ferdowsi

Understanding the flow of deformable particles such as liquid drops, synthetic capsules and vesicles, and biological cells confined in a small channel is essential to a wide range of potential chemical and biomedical engineering…

流体动力学 · 物理学 2020-11-18 J. M. Lyu , Paul G. Chen , G. Boedec , M. Leonetti , M. Jaeger