Multiscale Model. Simul.最新文献_第8页

Accuracy, Efficiency and Optimization of Signal Fragmentation 信号分割的精度、效率与优化

Multiscale Model. Simul. Pub Date : 2020-05-07 DOI: 10.1137/18m1220595

R. Caflisch, H. Chou, Jonathan W. Siegel

引用次数: 1

Stress from Long-Range Interactions in Particulate Systems 粒子系统中远程相互作用的应力

Multiscale Model. Simul. Pub Date : 2020-04-29 DOI: 10.1137/20M1365065

D. Zhang

引用次数: 4

Multiscale Finite Elements for Transient Advection-Diffusion Equations through Advection-Induced Coordinates 平流诱导坐标下瞬态平流扩散方程的多尺度有限元

Multiscale Model. Simul. Pub Date : 2020-04-08 DOI: 10.1137/18m117248x

Konrad Simon, J. Behrens

引用次数: 1

A Micro-Macro Method for a Kinetic Graphene Model in One Space Dimension 一维石墨烯动力学模型的微观-宏观方法

Multiscale Model. Simul. Pub Date : 2020-03-24 DOI: 10.1137/18M1173770

N. Crouseilles, Shi Jin, M. Lemou, F. Méhats

引用次数: 1

Multiscale global sensitivity analysis for stochastic chemical systems 随机化学系统的多尺度全局敏感性分析

Multiscale Model. Simul. Pub Date : 2020-03-17 DOI: 10.1137/20M1323989

Michael Merritt, A. Alexanderian, P. Gremaud

引用次数: 4

Bimolecular Binding Rates for Pairs of Spherical Molecules with Small Binding Sites 具有小结合位点的球形分子对的双分子结合率

Multiscale Model. Simul. Pub Date : 2020-02-26 DOI: 10.1137/20M1321991

Claire Plunkett, S. Lawley

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引用次数: 3

An Inverse Random Source Problem for Maxwell's Equations 麦克斯韦方程组的逆随机源问题

Multiscale Model. Simul. Pub Date : 2020-02-20 DOI: 10.1137/20M1331342

Peijun Li, Xu Wang

引用次数: 8

A Cascadic Adaptive Finite Element Method for Nonlinear Eigenvalue Problems in Quantum Physics 量子物理非线性特征值问题的级联自适应有限元方法

Multiscale Model. Simul. Pub Date : 2020-02-12 DOI: 10.1137/17m1155569

Fei Xu

引用次数: 6

The Correspondence between Voigt and Reuss Bounds and the Decoupling Constraint in a Two-Grid Staggered Algorithm for Consolidation in Heterogeneous Porous Media 非均质多孔介质双网格交错固结算法中Voigt和Reuss边界的对应关系及解耦约束

Multiscale Model. Simul. Pub Date : 2020-02-12 DOI: 10.1137/18m1187660

Saumik Dana, J. Ita, M. Wheeler

引用次数: 20

Analysis of the Acoustic Waves Reflected by a Cluster of Small Holes in the Time-Domain and the Equivalent Mass Density 小孔簇反射声波的时域分析及等效质量密度

Multiscale Model. Simul. Pub Date : 2020-02-12 DOI: 10.1137/20m1319693

M. Sini, Haibing Wang, Qingyun Yao

{"title":"Analysis of the Acoustic Waves Reflected by a Cluster of Small Holes in the Time-Domain and the Equivalent Mass Density","authors":"M. Sini, Haibing Wang, Qingyun Yao","doi":"10.1137/20m1319693","DOIUrl":"https://doi.org/10.1137/20m1319693","url":null,"abstract":"We study the time-domain acoustic scattering problem by a cluster of small holes (i.e. sound-soft obstacles). Based on the retarded boundary integral equation method, we derive the asymptotic expansion of the scattered field as the size of the holes goes to zero. Under certain geometrical constraints on the size and the minimum distance of the holes, we show that the scattered field is approximated by a linear combination of point-sources where the weights are given by the capacitance of each hole and the causal signals (of these point-sources) can be computed by solving a, retarded in time, linear algebraic system. A rigorous justification of the asymptotic expansion and the unique solvability of the linear algebraic system are shown under natural conditions on the cluster of holes. As an application of the asymptotic expansion, we derive, in the limit case when the holes are densely distributed and occupy a bounded domain, the equivalent effective acoustic medium (an equivalent mass density characterized by the capacitance of the holes) that generates, approximately, the same scattered field as the cluster of holes. Conversely, given a locally variable, smooth and positive mass density, satisfying a certain subharmonicity condition, we can design a perforated material with holes, having appropriate capacitances, that generates approximately the same acoustic field as the acoustic medium modelled by the given mass density (and constant speed of propagation). Finally, we numerically verify the asymptotic expansions by comparing the asymptotic approximations with the numerical solutions of the scattered fields via the finite element method.","PeriodicalId":313703,"journal":{"name":"Multiscale Model. Simul.","volume":"4 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-02-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125928850","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 4