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Author

Xu Zhang

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Preprint Aug 2026

Geometry-Conforming Finite Element Methods for Interface Problems on Fitted and Unfitted Meshes

We develop an arbitrary-degree geometry-conforming finite element (GC-FE) framework for two-dimensional elliptic boundary value and interface problems on curved domains. Using the Frenet--Serret transformation, curved-boundary and interface-fitted segments are represented exactly, while polynomials in Frenet coordinate...

Yuanhui Lin, Tao Lin, Xu Zhang et al. · 0 citations

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