期刊
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS
卷 35, 期 3, 页码 1243-1268出版社
WILEY
DOI: 10.1002/num.22348
关键词
discontinuous coefficients; elasticity equations; immersed finite element method; interface problems
资金
- [GRF B-Q56D]
- [B-Q40W]
We construct and analyze a group of immersed finite element (IFE) spaces formed by linear, bilinear, and rotated Q(1) polynomials for solving planar elasticity equation involving interface. The shape functions in these IFE spaces are constructed through a group of approximate jump conditions such that the unisolvence of the bilinear and rotated Q(1) IFE shape functions are always guaranteed regardless of the Lame parameters and the interface location. The boundedness property and a group of identities of the proposed IFE shape functions are established. A multi-point Taylor expansion is utilized to show the optimal approximation capabilities for the proposed IFE spaces through the Lagrange type interpolation operators.
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