Unfitted Spectral Element Method for interfacial models
| Title: | Unfitted Spectral Element Method for interfacial models |
|---|---|
| Authors: | Gonzalez, Nicolas, Guo, Hailong, Yang, Xu |
| Publication Year: | 2023 |
| Collection: | Computer Science Mathematics |
| Subject Terms: | Mathematics - Numerical Analysis |
| More Details: | In this paper, we propose the unfitted spectral element method for solving elliptic interface and corresponding eigenvalue problems. The novelty of the proposed method lies in its combination of the spectral accuracy of the spectral element method and the flexibility of the unfitted Nitsche's method. We also use tailored ghost penalty terms to enhance its robustness. We establish optimal $hp$ convergence rates for both elliptic interface problems and interface eigenvalue problems. Additionally, we demonstrate spectral accuracy for model problems in terms of polynomial degree. Comment: 21 pages |
| Document Type: | Working Paper |
| Access URL: | http://arxiv.org/abs/2309.17027 |
| Accession Number: | edsarx.2309.17027 |
| Database: | arXiv |
| Description not available. |