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- W3192227181 abstract "By improving the trace finite element method, we developed another higher-order trace finite element method by integrating on the surface with exact geometry description. This method restricts the finite element space on the volume mesh to the surface accurately, and approximates Laplace-Beltrami operator on the surface by calculating the high-order numerical integration on the exact surface directly. We employ this method to calculate the Laplace-Beltrami equation and the Laplace-Beltrami eigenvalue problem. Numerical error analysis shows that this method has an optimal convergence order in both problems. Numerical experiments verify the correctness of the theoretical analysis. The algorithm is more accurate and easier to implement than the existing high-order trace finite element method." @default.
- W3192227181 created "2021-08-16" @default.
- W3192227181 creator A5000992132 @default.
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- W3192227181 date "2021-08-05" @default.
- W3192227181 modified "2023-09-27" @default.
- W3192227181 title "A trace finite element method by integrating on the surface with exact geometry description." @default.
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