Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/15248
Title: Immersed finite element methods for parabolic equations with moving interface
Authors: He, X
Lin, T
Lin, Y 
Zhang, X
Keywords: Cartesian mesh
Crank-Nicolson scheme
immersed finite element
moving interface
Issue Date: 2013
Publisher: Wiley-Blackwell
Source: Numerical Methods for Partial Differential Equations, 2013, v. 29, no. 2, p. 619-646 How to cite?
Journal: Numerical Methods for Partial Differential Equations 
Abstract: This article presents three Crank-Nicolson-type immersed finite element (IFE) methods for solving parabolic equations whose diffusion coefficient is discontinuous across a time dependent interface. These methods can use a fixed mesh because IFEs can handle interface jump conditions without requiring the mesh to be aligned with the interface. These methods will be compared analytically in the sense of accuracy and computational cost. Numerical examples are provided to demonstrate features of these three IFE methods.
URI: http://hdl.handle.net/10397/15248
ISSN: 0749-159X
DOI: 10.1002/num.21722
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