optimal error estimates in jacobi-weighted sobolev spaces for polynomial approximations on the triangle
文献类型：期刊论文
| 作者 | Li Huiyuan ; Shen Jie |
| 刊名 | MATHEMATICS OF COMPUTATION
 |
| 出版日期 | 2010 |
| 卷号 | 79期号:271页码:1621-1646 |
| 关键词 | Orthogonal polynomials Koornwinder polynomials error estimate spectral method |
| ISSN号 | 0025-5718 |
| 学科主题 | Mathematics ; Applied |
| 收录类别 | SCI |
| 公开日期 | 2011-05-23 |
| 附注 | Spectral approximations on the triangle by orthogonal polynomials are studied in this paper. Optimal error estimates in weighted semi-norms for both the L-2- and 11(0)(1)-orthogonal polynomial projections are established by using the generalized Koornwinder polynomials and the properties of the Sturm-Liouville operator on the triangle. These results are then applied to derive error estimates for the spectral-Galerkin method for second- and fourth-order equations on the triangle. The generalized Koornwinder polynomials and approximation results developed in this paper will be useful for many other applications involving spectral and spectral-element approximations in triangular domains. |
| 源URL | [http://124.16.136.157/handle/311060/9764]  |
| 专题 | 软件研究所_计算机科学国家重点实验室 _期刊论文 |
| 推荐引用方式 GB/T 7714 | Li Huiyuan,Shen Jie. optimal error estimates in jacobi-weighted sobolev spaces for polynomial approximations on the triangle[J]. MATHEMATICS OF COMPUTATION,2010,79(271):1621-1646. |
| APA | Li Huiyuan,&Shen Jie.(2010).optimal error estimates in jacobi-weighted sobolev spaces for polynomial approximations on the triangle.MATHEMATICS OF COMPUTATION,79(271),1621-1646. |
| MLA | Li Huiyuan,et al."optimal error estimates in jacobi-weighted sobolev spaces for polynomial approximations on the triangle".MATHEMATICS OF COMPUTATION 79.271(2010):1621-1646. |
入库方式： OAI收割
来源：软件研究所
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