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. © 2012 Wiley Periodicals, Inc.
Recommended Citation
X. He et al., "Immersed Finite Element Methods for Parabolic Equations with Moving Interface," Numerical Methods for Partial Differential Equations, vol. 29, no. 2, pp. 619 - 646, Wiley, Mar 2013.
The definitive version is available at https://doi.org/10.1002/num.21722
Department(s)
Mathematics and Statistics
Publication Status
Full Access
Keywords and Phrases
Cartesian mesh; Crank-Nicolson scheme; immersed finite element; moving interface
International Standard Serial Number (ISSN)
1098-2426; 0749-159X
Document Type
Article - Journal
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 2024 Wiley, All rights reserved.
Publication Date
01 Mar 2013
