Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/17872
Title: Immersed finite element methods for elliptic interface problems with non-homogeneous jump conditions
Authors: He, X
Lin, T
Lin, Y 
Issue Date: 2011
Source: International journal of numerical analysis and modeling, 2011, v. 8, no. 2, p. 284-301
Abstract: This paper is to develop immersed finite element (IFE) functions for solving second order elliptic boundary value problems with discontinuous coefficients and non-homogeneous jump conditions. These IFE functions can be formed on meshes independent of interface. Numerical examples demonstrate that these IFE functions have the usual approximation capability expected from polynomials employed. The related IFE methods based on the Galerkin formulation can be considered as natural extensions of those IFE methods in the literature developed for homogeneous jump conditions, and they can optimally solve the interface problems with a nonhomogeneous flux jump condition.
Keywords: Finite element
Immersed interface
Interface problems
Nonhomogeneous jump conditions
Award: 2017/18 Departmental Best Paper Award
Publisher: Institute for Scientific Computing and Information
Journal: International journal of numerical analysis and modeling 
EISSN: 1705-5105
Rights: © 2011 Institute for Scientific Computing and Information
Posted with permission of the publisher.
Appears in Collections:Journal/Magazine Article

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