High Degree Immersed Finite Element Spaces by a Least Squares Method
نویسندگان
چکیده
We present a least squares framework for constructing p-th degree immersed finite element (IFE) spaces for typical second-order elliptic interface problems. This least squares formulation enforces interface jump conditions including extended ones already proposed in the literature, and it guarantees the existence of p-th IFE shape functions on interface elements. The uniqueness of the proposed p-th degree IFE shape functions is also discussed. Computational results are presented to demonstrate the approximation capabilities of the proposed p-th IFE spaces as well as other features.
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