Solving three-dimensional interface problems with immersed finite elements: A-priori error analysis
نویسندگان
چکیده
In this paper, we develop and analyze a trilinear immersed finite element method for solving three-dimensional elliptic interface problems. The proposed can be utilized on interface-unfitted meshes such as Cartesian grids consisting of cuboids. We establish the trace inverse inequalities IFE functions elements with arbitrary interface-cutting configuration. Optimal priori error estimates are rigorously proved in both energy L2 norms. Numerical examples provided not only to verify our theoretical results but also demonstrate applicability tackling some real-world 3D models.
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ژورنال
عنوان ژورنال: Journal of Computational Physics
سال: 2021
ISSN: ['1090-2716', '0021-9991']
DOI: https://doi.org/10.1016/j.jcp.2021.110445