Adaptive generalized multiscale finite element methods for H(curl)-elliptic problems with heterogeneous coefficients
Publication in refereed journal

香港中文大學研究人員
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摘要In this paper, we construct an adaptive multiscale method for solving H(curl)-elliptic problems in highly heterogeneous media. Our method is based on the generalized multiscale finite element method. We will first construct a suitable snapshot space, and a dimensional reduction procedure to identify important modes of the solution. We next develop and analyze an a posteriori error indicator, and the corresponding adaptive algorithm. In addition, we will construct a coupled offline-online adaptive algorithm, which provides an adaptive strategy to the selection of offline and online basis functions. Our theory shows that the convergence is robust with respect to the heterogeneities and contrast of the media. We present several numerical results to illustrate the performance of our method.
著者Eric T. Chung, Yanbo Li
期刊名稱Journal of Computational and Applied Mathematics
出版年份2019
月份1
日期1
卷號345
出版社ELSEVIER
頁次357 - 373
國際標準期刊號0377-0427
電子國際標準期刊號1879-1778
語言美式英語

上次更新時間 2020-18-09 於 03:42