Partially penalized immersed finite element methods for parabolic interface problems |
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| Authors: | Tao Lin Qing Yang Xu Zhang |
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| Affiliation: | 1. Department of Mathematics, Virginia Tech, Blacksburg, Virginia;2. School of Mathematical Science, Shandong Normal University, Jinan, People's Republic of China;3. Department of Mathematics, Purdue University, West Lafayette, Indiana |
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| Abstract: | We present partially penalized immersed finite element methods for solving parabolic interface problems on Cartesian meshes. Typical semidiscrete and fully discrete schemes are discussed. Error estimates in an energy norm are derived. Numerical examples are provided to support theoretical analysis. © 2015 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 31: 1925–1947, 2015 |
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| Keywords: | Cartesian mesh methods error estimation parabolic interface problems partially penalized immersed finite element |
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