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International Journal for Multiscale Computational Engineering

Publication de 6  numéros par an

ISSN Imprimer: 1543-1649

ISSN En ligne: 1940-4352

The Impact Factor measures the average number of citations received in a particular year by papers published in the journal during the two preceding years. 2017 Journal Citation Reports (Clarivate Analytics, 2018) IF: 1.4 To calculate the five year Impact Factor, citations are counted in 2017 to the previous five years and divided by the source items published in the previous five years. 2017 Journal Citation Reports (Clarivate Analytics, 2018) 5-Year IF: 1.3 The Immediacy Index is the average number of times an article is cited in the year it is published. The journal Immediacy Index indicates how quickly articles in a journal are cited. Immediacy Index: 2.2 The Eigenfactor score, developed by Jevin West and Carl Bergstrom at the University of Washington, is a rating of the total importance of a scientific journal. Journals are rated according to the number of incoming citations, with citations from highly ranked journals weighted to make a larger contribution to the eigenfactor than those from poorly ranked journals. Eigenfactor: 0.00034 The Journal Citation Indicator (JCI) is a single measurement of the field-normalized citation impact of journals in the Web of Science Core Collection across disciplines. The key words here are that the metric is normalized and cross-disciplinary. JCI: 0.46 SJR: 0.333 SNIP: 0.606 CiteScore™:: 3.1 H-Index: 31

Indexed in

MIXED-DIMENSIONAL COUPLING VIA AN EXTENDED DIRICHLET-TO-NEUMANN METHOD

Volume 14, Numéro 5, 2016, pp. 489-513
DOI: 10.1615/IntJMultCompEng.2016018551
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RÉSUMÉ

Recently, a Dirichlet-to-Neumann (DtN) coupling method was proposed for mixed-dimensional modeling of time-harmonic wave problems. The original two-dimensional (2D) problem's domain in this multiscale scenario is assumed to consist of two regions: a bulky one and a slender one. In a previous publication on the DtN coupling method, the problems considered were such that in the slender region, the exact solution approximately behaved in a one-dimensional (1D) way, namely its lateral variation decayed rapidly away from the wave source. In the present paper, a more general class of problems is considered. The computational domain still includes a slender region ("a long tail" or "a tree"), but the solution in that region does not necessarily behave in a 1D way. Such a persistent 2D behavior occurs for sufficiently large wave numbers, as is shown here. The DtN coupling method is extended for this more general situation. The problem in the slender part is reduced to a sequence of 1D problems. In the hybrid model, the bulky and slender regions are discretized by using 2D and 1D finite element formulations, respectively, which are then coupled together by employing on the interface the numerically calculated DtN maps associated with the 1D problems. To enhance the accuracy of the calculated DtN map, a boundary flux recovery technique is applied on the interface. The hybrid model is more efficient than the standard 2D model taken for the entire problem, yet its accuracy is not significantly lower. The performance of the method is demonstrated via numerical examples.

CITÉ PAR
  1. Amar Hanan, Givoli Dan, Mixed-Dimensional Modeling of Time-Dependent Wave Problems Using the Panasenko Construction, Journal of Theoretical and Computational Acoustics, 26, 03, 2018. Crossref

  2. Amosov Andrey, Panasenko Grigory, Partial dimension reduction for the heat equation in a domain containing thin tubes, Mathematical Methods in the Applied Sciences, 41, 18, 2018. Crossref

  3. Rabinovich Daniel, Givoli Dan, Elastodynamic 2D-1D coupling using the DtN method, Journal of Computational Physics, 448, 2022. Crossref

  4. Amosov A. A., Panasenko G. P., Partial Decomposition of a Domain Containing Thin Tubes for Solving the Diffusion Equation, Journal of Mathematical Sciences, 264, 5, 2022. Crossref

  5. Efrati Ron, Givoli Dan, Hybrid 3D-plane finite element modeling for elastodynamics, Finite Elements in Analysis and Design, 210, 2022. Crossref

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