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We propose a parallel algorithm for the numerical solution of a class of second order semi-linear equations coming from stochastic optimal control problems, by means of a dynamic domain decomposition technique. The new method is an…

数值分析 · 数学 2016-02-11 Simone Cacace , Maurizio Falcone

Noise pollution investigation takes advantage of two common methods of diagnosis: measurement using a Sound Level Meter and acoustical imaging. The former enables a detailed analysis of the surrounding noise spectrum whereas the latter is…

In this study, we develop a new parallel algorithm for solving systems of linear algebraic equations with the same block-tridiagonal matrix but with different right-hand sides. The method is a generalization of the parallel dichotomy…

数值分析 · 数学 2013-04-22 Andrew V. Terekhov

Environmental soundscapes convey substantial ecological and social information regarding urban environments; however, their potential remains largely untapped in large-scale geographic analysis. In this study, we investigate the extent to…

计算机视觉与模式识别 · 计算机科学 2026-03-31 Pengyu Chen , Xiao Huang , Teng Fei , Sicheng Wang

In this paper, we propose an efficient parallelization strategy for boundary element method (BEM) solvers that perform the electromagnetic analysis of structures with lossy conductors. The proposed solver is accelerated with the adaptive…

分布式、并行与集群计算 · 计算机科学 2022-11-30 Damian Marek , Shashwat Sharma , Piero Triverio

In this paper, we propose a domain decomposition dynamical low-rank method to solve high-dimensional radiative transfer problems and similar kinetic equations. The algorithm uses a separate low-rank approximation on each spatial subdomain,…

数值分析 · 数学 2026-02-17 Stefan Brunner , Lukas Einkemmer , Terry Haut

This work proposes a method for solving linear stochastic optimal control (SOC) problems using sum of squares and semidefinite programming. Previous work had used polynomial optimization to approximate the value function, requiring a high…

最优化与控制 · 数学 2014-09-23 Matanya B. Horowitz , Ivan Papusha , Joel W. Burdick

This work proposes a discretization of the acoustic wave equation with possibly oscillatory coefficients based on a superposition of discrete solutions to spatially localized subproblems computed with an implicit time discretization. Based…

数值分析 · 数学 2024-03-11 Dietmar Gallistl , Roland Maier

A parallel direct solution approach based on domain decomposition method (DDM) and directed acyclic graph (DAG) scheduling is outlined. Computations are represented as a sequence of small tasks that operate on domains of DDM or dense matrix…

分布式、并行与集群计算 · 计算机科学 2020-02-13 Javad Moshfegh , Dimitrios G. Makris , Marinos N. Vouvakis

We present a domain decomposition approach for the simulation of charge transport in heterojunction semiconductors. The problem is characterized by a large variation of primary variables across an interface region of a size much smaller…

计算物理 · 物理学 2014-12-30 Timothy Costa , David Foster , Malgorzata Peszynska

A fully parallel version of the contact dynamics (CD) method is presented in this paper. For large enough systems, 100% efficiency has been demonstrated for up to 256 processors using a hierarchical domain decomposition with dynamic load…

软凝聚态物质 · 物理学 2015-03-19 Zahra Shojaaee , M. Reza Shaebani , Lothar Brendel , János Török , Dietrich E. Wolf

We present a temporal decomposition scheme for solving long-horizon optimal control problems. In the proposed scheme, the time domain is decomposed into a set of subdomains with partially overlapping regions. Subproblems associated with the…

最优化与控制 · 数学 2020-04-01 Sungho Shin , Timm Faulwasser , Mario Zanon , Victor M. Zavala

We present a novel computational scheme to solve acoustic wave transmission problems over composite scatterers, i.e. penetrable obstacles possessing junctions or triple points. Our continuous problem is cast as a multiple traces time-domain…

数值分析 · 数学 2022-04-01 Carlos Jerez-Hanckes , Ignacio Labarca

This paper presents a structural optimisation method in three-dimensional acoustic-elastic coupled problems. The proposed optimisation method finds an optimal allocation of elastic materials which reduces the sound level on some fixed…

数值分析 · 数学 2016-12-21 Hiroshi Isakari , Toyohiro Kondo , Toru Takahashi , Toshiro Matsumoto

We develop a multi-dimensional, parallelized domain decomposition strategy (DDC) for mass-transfer particle tracking (MTPT) methods. These methods are a type of Lagrangian algorithm for simulating reactive transport and are able to be…

We present a hybrid framework that leverages the trade-off between temporal and frequency precision in audio representations to improve the performance of speech enhancement task. We first show that conventional approaches using specific…

音频与语音处理 · 电气工程与系统科学 2018-12-24 Jang-Hyun Kim , Jaejun Yoo , Sanghyuk Chun , Adrian Kim , Jung-Woo Ha

Mosaic Flow is a novel domain decomposition method designed to scale physics-informed neural PDE solvers to large domains. Its unique approach leverages pre-trained networks on small domains to solve partial differential equations on large…

机器学习 · 计算机科学 2023-08-29 Arthur Feeney , Zitong Li , Ramin Bostanabad , Aparna Chandramowlishwaran

Top-tier parallel computing clusters continue to accumulate more and more computational power with more and better CPUs and Networks. This allows, especially for environmental simulations, computations with larger domain sizes and better…

分布式、并行与集群计算 · 计算机科学 2018-07-03 Christoph Ertl , Ralf-Peter Mundani , Ernst Rank

In the automotive industry, predicting noise during design cycle is a necessary step. Well-known methods exist to answer this issue in low frequency domain. Among these, Finite Element Methods, adapted to closed domains, are quite easy to…

计算工程、金融与科学 · 计算机科学 2008-12-18 Marianne Viallet , Gérald Poumérol , Olivier Dessombz , Louis Jezequel

We develop a domain-decomposition model reduction method for linear steady-state convection-diffusion equations with random coefficients. Of particular interest to this effort are the diffusion equations with random diffusivities, and the…

数值分析 · 数学 2018-02-13 Lin Mu , Guannan Zhang
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