{"title":"带随机系数偏微分方程的低秩近似多尺度方法","authors":"Na Ou, G. Lin, Lijian Jiang","doi":"10.1137/19m1288565","DOIUrl":null,"url":null,"abstract":"This work presents a stochastic multiscale model reduction approach to solve PDEs with random coefficients. An ensemble-based low-rank approximation method is proposed to approximate multiscale bas...","PeriodicalId":313703,"journal":{"name":"Multiscale Model. Simul.","volume":"1 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2020-12-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"5","resultStr":"{\"title\":\"A Low-Rank Approximated Multiscale Method for Pdes With Random Coefficients\",\"authors\":\"Na Ou, G. Lin, Lijian Jiang\",\"doi\":\"10.1137/19m1288565\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This work presents a stochastic multiscale model reduction approach to solve PDEs with random coefficients. An ensemble-based low-rank approximation method is proposed to approximate multiscale bas...\",\"PeriodicalId\":313703,\"journal\":{\"name\":\"Multiscale Model. Simul.\",\"volume\":\"1 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2020-12-08\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"5\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Multiscale Model. Simul.\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1137/19m1288565\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Multiscale Model. Simul.","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1137/19m1288565","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
A Low-Rank Approximated Multiscale Method for Pdes With Random Coefficients
This work presents a stochastic multiscale model reduction approach to solve PDEs with random coefficients. An ensemble-based low-rank approximation method is proposed to approximate multiscale bas...