Capitalizing on Superconvergence for More Accurate Multi-Resolution Discontinuous Galerkin Methods
Abstract
This article focuses on exploiting superconvergence to obtain more accurate multi-resolution analysis. Specifically, we concentrate on enhancing the quality of passing of information between scales by implementing the Smoothness-Increasing Accuracy-Conserving (SIAC) filtering combined with multi-wavelets. This allows for a more accurate approximation when passing information between meshes of different resolutions. Although this article presents the details of the SIAC filter using the standard discontinuous Galerkin method, these techniques are easily extendable to other types of data.
Document Details
- Document Type
- Pub Defense Publication
- Publication Date
- Jul 09, 2021
- Source ID
- 10.1007/s42967-021-00121-w
Entities
People
- Jennifer K. Ryan
Organizations
- Air Force Office of Scientific Research