Journal
RESULTS IN APPLIED MATHEMATICS
Volume 8, Issue -, Pages -Publisher
ELSEVIER
DOI: 10.1016/j.rinam.2020.100100
Keywords
Interface problems; Multi-domain; Triple junction; Partially penalized; Immersed finite element method
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Funding
- Walter Koss Professorship fund made available through Louisiana Board of Regents, United States
- National Science Foundation, United States [DMS-1720425, DMS-2005272]
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In this article, we introduce a new partially penalized immersed finite element method (IFEM) for solving elliptic interface problems with multi-domain and triple-junction points. We construct new IFE functions on elements intersected with multiple interfaces or with triple-junction points to accommodate interface jump conditions. For non-homogeneous flux jump, we enrich the local approximating spaces by adding up to three local flux basis functions. Numerical experiments are carried out to show that both the Lagrange interpolations and the partial penalized IFEM solutions converge optimally in L-2 and H-1 norms. (C) 2020 The Author(s). Published by Elsevier B.V.
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