Immersed Interface Finite Element Methods for Elasticity Interface Problems with Non-Homogeneous Jump Conditions |
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| Authors: | Yan Gong Zhilin Li |
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| Institution: | 1. Department of Mathematics, Limestone College, Gaffney, SC 29340, USA
2. Center For Research in Scientific Computation and Department of Mathematics, North Carolina State University, Raleigh, NC 27695-8205, USA |
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| Abstract: | 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 a... |
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| Keywords: | Immersed interface finite element methods elasticity interface problems singularity removal homogeneous and non-homogeneous jump conditions level-set function |
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