$C^1$ Quintic Splines on Domains Enclosed by Piecewise Conics and Numerical Solution of Fully Nonlinear Elliptic Equations
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2016
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| _version_ | 1866912549701681152 |
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| author | Davydov, Oleg Saeed, Abid |
| author_facet | Davydov, Oleg Saeed, Abid |
| contents | We introduce bivariate $C^1$ piecewise quintic finite element spaces for curved domains enclosed by piecewise conics satisfying homogeneous boundary conditions, construct local bases for them using Bernstein-Bézier techniques, and demonstrate the effectiveness of these finite elements for the numerical solution of the Monge-Ampère equation over curved domains by Böhmer's method. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1602_05467 |
| institution | arXiv |
| publishDate | 2016 |
| record_format | arxiv |
| spellingShingle | $C^1$ Quintic Splines on Domains Enclosed by Piecewise Conics and Numerical Solution of Fully Nonlinear Elliptic Equations Davydov, Oleg Saeed, Abid Numerical Analysis We introduce bivariate $C^1$ piecewise quintic finite element spaces for curved domains enclosed by piecewise conics satisfying homogeneous boundary conditions, construct local bases for them using Bernstein-Bézier techniques, and demonstrate the effectiveness of these finite elements for the numerical solution of the Monge-Ampère equation over curved domains by Böhmer's method. |
| title | $C^1$ Quintic Splines on Domains Enclosed by Piecewise Conics and Numerical Solution of Fully Nonlinear Elliptic Equations |
| topic | Numerical Analysis |
| url | https://arxiv.org/abs/1602.05467 |