A note on the rate of convergence of integration schemes for closed surfaces
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
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| _version_ | 1866909091546267648 |
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| author | Zavalani, Gentian Shehu, Elima Hecht, Michael |
| author_facet | Zavalani, Gentian Shehu, Elima Hecht, Michael |
| contents | In this paper, we issue an error analysis for integration over discrete surfaces using the surface parametrization presented in [PS22] as well as prove why even-degree polynomials exhibit a higher convergence rate than odd-degree polynomials. Additionally, we provide some numerical examples that illustrate our findings and propose a potential approach that overcomes the problems associated with the original one. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2301_02996 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | A note on the rate of convergence of integration schemes for closed surfaces Zavalani, Gentian Shehu, Elima Hecht, Michael Numerical Analysis In this paper, we issue an error analysis for integration over discrete surfaces using the surface parametrization presented in [PS22] as well as prove why even-degree polynomials exhibit a higher convergence rate than odd-degree polynomials. Additionally, we provide some numerical examples that illustrate our findings and propose a potential approach that overcomes the problems associated with the original one. |
| title | A note on the rate of convergence of integration schemes for closed surfaces |
| topic | Numerical Analysis |
| url | https://arxiv.org/abs/2301.02996 |