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http://hdl.handle.net/10397/95568
Title: | Solving interface problems of the Helmholtz equation by immersed finite element methods | Authors: | Lin, T Lin, Y Zhuang, Q |
Issue Date: | Jun-2019 | Source: | Communications on applied mathematics and computation, June 2019, v. 1, no. 2, p. 187-206 | Abstract: | This article reports our explorations for solving interface problems of the Helmholtz equation by immersed finite elements (IFE) on interface independent meshes. Two IFE methods are investigated: the partially penalized IFE (PPIFE) and discontinuous Galerkin IFE (DGIFE) methods. Optimal convergence rates are observed for these IFE methods once the mesh size is smaller than the optimal mesh size which is mainly dictated by the wave number. Numerical experiments also suggest that higher degree IFE methods are advantageous because of their larger optimal mesh size and higher convergence rates. | Keywords: | Helmholtz interface problems Immersed fnite element (IFE) methods Higher degree fnite element methods |
Publisher: | Springer Singapore | Journal: | Communications on applied mathematics and computation | ISSN: | 2096-6385 | EISSN: | 2661-8893 | DOI: | 10.1007/s42967-019-0002-2 | Rights: | © Shanghai University 2019 This version of the article has been accepted for publication, after peer review (when applicable) and is subject to Springer Nature’s AM terms of use (https://www.springernature.com/gp/open-research/policies/accepted-manuscript-terms), but is not the Version of Record and does not reflect post-acceptance improvements, or any corrections. The Version of Record is available online at: http://dx.doi.org/10.1007/s42967-019-0002-2. |
Appears in Collections: | Journal/Magazine Article |
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File | Description | Size | Format | |
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Solving_Interface_Problems.pdf | Pre-Published version | 1.2 MB | Adobe PDF | View/Open |
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