Sobolev-type approximation rates for divergence-free and curl-free RBF interpolants |
| |
Authors: | Edward J. Fuselier. |
| |
Affiliation: | Department of Mathematical Sciences, United States Military Academy, West Point, New York 10996 |
| |
Abstract: | Recently, error estimates have been made available for divergence-free radial basis function (RBF) interpolants. However, these results are only valid for functions within the associated reproducing kernel Hilbert space (RKHS) of the matrix-valued RBF. Functions within the associated RKHS, also known as the ``native space' of the RBF, can be characterized as vector fields having a specific smoothness, making the native space quite small. In this paper we develop Sobolev-type error estimates when the target function is less smooth than functions in the native space. |
| |
Keywords: | |
|
| 点击此处可从《Mathematics of Computation》浏览原始摘要信息 |
|
点击此处可从《Mathematics of Computation》下载全文 |
|