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With the large-scale hybrid AC-DC grids coming into being, electromagnetic transient (EMT) simulation is required to accurately describe the dynamics of systems. However, the EMT steady-state initialization for hybrid AC-DC system is…

Systems and Control · Electrical Eng. & Systems 2020-01-13 Ye Liu , Yankan Song , Le Zhao , Ying Chen , Chen Shen

Entanglement forging based variational algorithms leverage the bi-partition of quantum systems for addressing ground state problems. The primary limitation of these approaches lies in the exponential summation required over the numerous…

Dual-energy computed tomography (DECT) has shown great potential and promising applications in advanced imaging fields for its capabilities of material decomposition. However, image reconstructions and decompositions under sparse views…

Medical Physics · Physics 2016-08-01 Lei Li , Ailong Cai , Linyuan Wang , Bin Yan , Hanming Zhang , Zhizhong Zheng , Wenkun Zhang , Wanli Lu , Guoen Hu

We propose an efficient algorithmic framework for time domain circuit simulation using exponential integrator. This work addresses several critical issues exposed by previous matrix exponential based circuit simulation research, and makes…

Computational Engineering, Finance, and Science · Computer Science 2016-11-17 Hao Zhuang , Wenjian Yu , Ilgweon Kang , Xinan Wang , Chung-Kuan Cheng

In this paper, a parallel overlapping domain decomposition preconditioner is proposed to solve the linear system of equations arising from the extended finite element discretization of elastic crack problems. The algorithm partitions the…

Computational Engineering, Finance, and Science · Computer Science 2021-12-07 Tian Wei , Huang Jingjing , Chen Rongliang , Jiang Yi

We propose and analyze a non-iterative domain decomposition integrator for the linear acoustic wave equation. The core idea is to combine an implicit Crank-Nicolson step on spatial subdomains with a local prediction step at the subdomain…

Numerical Analysis · Mathematics 2026-04-10 Tim Buchholz , Marlis Hochbruck

Rigorous computer simulations of propagating electromagnetic fields have become an important tool for optical metrology and design of nanostructured optical components. A vectorial finite element method (FEM) is a good choice for an…

Optics · Physics 2009-05-28 L. Zschiedrich , S. Burger , A. Schädle , F. Schmidt

With the increased penetrations of distributed energy resources (DERs), the need for integrated transmission and distribution system analysis (T&D) is imperative. This paper presents an integrated unbalanced T&D analysis framework using an…

Systems and Control · Electrical Eng. & Systems 2020-07-15 Gayathri Krishnamoorthy , Anamika Dubey

We study for the first time Schwarz domain decomposition methods for the solution of the Navier equations modeling the propagation of elastic waves. These equations in the time harmonic regime are difficult to solve by iterative methods,…

Numerical Analysis · Mathematics 2019-04-30 Romain Brunet , Victorita Dolean , Martin J. Gander

It is known that a quantum circuit may be simulated with classical hardware via stabilizer state (T-)decomposition in $O(2^{\alpha t})$ time, given $t$ non-Clifford gates and a decomposition efficiency $\alpha$. The past years have seen a…

Quantum Physics · Physics 2024-12-24 Wira Azmoon Ahmad , Matthew Sutcliffe

Dynamic substructuring (DS) methods encompass a range of techniques to decompose large structural systems into multiple coupled subsystems. This decomposition has the principle benefit of reducing computational time for dynamic simulation…

Computational Engineering, Finance, and Science · Computer Science 2020-07-01 Thomas Simpson , Dimitrios Giagopoulos , Vasilis Dertimanis , Eleni Chatzi

Quantum computers hold great promise for arriving at exact simulations of nuclear dynamical processes (e.g., scattering and reactions) that are paramount to the study of nuclear matter at the limit of stability and to explaining the…

Stochastic simulation methods can be applied successfully to model exact spatio-temporally resolved reaction-diffusion systems. However, in many cases, these methods can quickly become extremely computationally intensive with increasing…

Quantitative Methods · Quantitative Biology 2016-04-29 Jonathan U. Harrison , Christian A. Yates

This paper presents a novel hybrid approach for coupling subdomain-local non-intrusive Operator Inference (OpInf) reduced order models (ROMs) with each other and with subdomain-local high-fidelity full order models (FOMs) with using the…

Numerical Analysis · Mathematics 2026-01-06 Irina Tezaur , Eric Parish , Anthony Gruber , Ian Moore , Christopher Wentland , Alejandro Mota

Discrete Cosine Transform (DCT) can be used instead of conventional Discrete Fourier Transform (DFT) for the Orthogonal Frequency Division Multiplexing (OFDM) construction, which offers many advantages. In this paper, the…

Information Theory · Computer Science 2023-11-28 Khaled Ramadan

This paper deals with the parallel simulation of delamination problems at the meso-scale by means of multi-scale methods, the aim being the Virtual Delamination Testing of Composite parts. In the non-linear context, Domain Decomposition…

Numerical Analysis · Mathematics 2013-04-26 Olivier Allix , Pierre Gosselet , Pierre Kerfriden , Karin Saavedra

We present an interactive version of an evidence-driven state-merging (EDSM) algorithm for learning variants of finite state automata. Learning these automata often amounts to recovering or reverse engineering the model generating the data…

Machine Learning · Statistics 2017-08-01 Christian A. Hammerschmidt , Radu State , Sicco Verwer

We present a domain decomposition approach for the computation of the electromagnetic field within periodic structures. We use a Schwarz method with transparent boundary conditions at the interfaces of the domains. Transparent boundary…

Numerical Analysis · Mathematics 2011-02-24 Achim Schädle , Lin Zschiedrich , Sven Burger , Roland Klose , Frank Schmidt

We present a simple, parallel and distributed algorithm for setting up and partitioning a sparse representation of a regular discretized simulation domain. This method is scalable for a large number of processes even for complex geometries…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-08-09 Markus Wittmann , Thomas Zeiser , Georg Hager , Gerhard Wellein

In this work, we consider alternative discretizations for PDEs which use expansions involving integral operators to approximate spatial derivatives. These constructions use explicit information within the integral terms, but treat boundary…

Computational Physics · Physics 2024-11-12 Andrew J. Christlieb , Pierson T. Guthrey , William A. Sands , Mathialakan Thavappiragasm