Communications on Applied Mathematics and Computation ›› 2022, Vol. 4 ›› Issue (2): 417-436.doi: 10.1007/s42967-021-00121-w
Jennifer K. Ryan
收稿日期:
2020-10-26
修回日期:
2021-01-08
出版日期:
2022-06-20
发布日期:
2022-04-29
通讯作者:
Jennifer K. Ryan
E-mail:jkryan@mines.edu
基金资助:
Jennifer K. Ryan
Received:
2020-10-26
Revised:
2021-01-08
Online:
2022-06-20
Published:
2022-04-29
Contact:
Jennifer K. Ryan
E-mail:jkryan@mines.edu
Supported by:
摘要: This article focuses on exploiting superconvergence to obtain more accurate multi-resolution analysis. Specifcally, we concentrate on enhancing the quality of passing of information between scales by implementing the Smoothness-Increasing Accuracy-Conserving (SIAC) fltering combined with multi-wavelets. This allows for a more accurate approximation when passing information between meshes of diferent resolutions. Although this article presents the details of the SIAC flter using the standard discontinuous Galerkin method, these techniques are easily extendable to other types of data.
中图分类号:
Jennifer K. Ryan. Capitalizing on Superconvergence for More Accurate Multi-Resolution Discontinuous Galerkin Methods[J]. Communications on Applied Mathematics and Computation, 2022, 4(2): 417-436.
Jennifer K. Ryan. Capitalizing on Superconvergence for More Accurate Multi-Resolution Discontinuous Galerkin Methods[J]. Communications on Applied Mathematics and Computation, 2022, 4(2): 417-436.
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