期刊
NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS
卷 3, 期 1, 页码 23-39出版社
GLOBAL SCIENCE PRESS
DOI: 10.4208/nmtma.2009.m9001
关键词
Immersed interface finite element methods; elasticity interface problems; singularity removal; homogeneous and non-homogeneous jump conditions; level-set function
资金
- US ARO [49308-MA, 56349-MA]
- US AFSOR [FA9550-06-1-024]
- US NSF [DMS-0911434]
- State Key Laboratory of Scientific and Engineering Computing of Chinese Academy of Sciences
- Direct For Mathematical & Physical Scien
- Division Of Mathematical Sciences [0911434] Funding Source: National Science Foundation
In this paper, a class of new immersed interface. finite element methods (IIFEM) is developed to solve elasticity interface problems with homogeneous and non-homogeneous jump conditions in two dimensions. Simple non-body-fitted meshes are used. For homogeneous jump conditions, both non-conforming and conforming basis functions are constructed in such a way that they satisfy the natural jump conditions. For non-homogeneous jump conditions, a pair of functions that satisfy the same non-homogeneous jump conditions are constructed using a level-set representation of the interface. With such a pair of functions, the discontinuities across the interface in the solution and flux are removed; and an equivalent elasticity interface problem with homogeneous jump conditions is formulated. Numerical examples are presented to demonstrate that such methods have second order convergence.
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