A deluxe FETI-DP algorithm for a hybrid staggered discontinuous Galerkin method for H(curl)-elliptic problems
Publication in refereed journal

香港中文大學研究人員

引用次數
替代計量分析
.

其它資訊
摘要Convergence theories and a deluxe dual and primal finite element tearing and interconnecting algorithm are developed for a hybrid staggered DG finite element approximation of H(curl) elliptic problems in two dimensions. In addition to the advantages of staggered DG methods, the basis functions of the new hybrid staggered DG method are all locally supported in the triangular elements, and a Lagrange multiplier approach is applied to enforce the global connections of these basis functions. The interface problem on the Lagrange multipliers is further reduced to the resulting problem on the subdomain interfaces, and a dual and primal finite element tearing and interconnecting algorithm with an enriched weight factor is then applied to the resulting problem. Our algorithm is shown to give a condition number bound of C(1 + log(H / h))(2), independent of the two parameters, where H / h is the number of triangles across each subdomain. Numerical results are included to confirm our theoretical bounds. Copyright (c) 2013 John Wiley & Sons, Ltd.
著者Chung ET, Kim HH
期刊名稱International Journal for Numerical Methods in Engineering
出版年份2014
月份4
日期6
卷號98
期次1
出版社WILEY-BLACKWELL
頁次1 - 23
國際標準期刊號0029-5981
電子國際標準期刊號1097-0207
語言英式英語
關鍵詞DG methods; FETI-DP; H(curl) problems; staggered grid
Web of Science 學科類別Engineering; Engineering, Multidisciplinary; ENGINEERING, MULTIDISCIPLINARY; Mathematics; Mathematics, Interdisciplinary Applications; MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

上次更新時間 2020-29-06 於 03:12