A deluxe FETI-DP algorithm for a hybrid staggered discontinuous Galerkin method for H(curl)-elliptic problems
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AbstractConvergence 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.
All Author(s) ListChung ET, Kim HH
Journal nameInternational Journal for Numerical Methods in Engineering
Year2014
Month4
Day6
Volume Number98
Issue Number1
PublisherWILEY-BLACKWELL
Pages1 - 23
ISSN0029-5981
eISSN1097-0207
LanguagesEnglish-United Kingdom
KeywordsDG methods; FETI-DP; H(curl) problems; staggered grid
Web of Science Subject CategoriesEngineering; Engineering, Multidisciplinary; ENGINEERING, MULTIDISCIPLINARY; Mathematics; Mathematics, Interdisciplinary Applications; MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

Last updated on 2020-03-06 at 01:09