scholarly journals Position-Dependent Smoothness-Increasing Accuracy-Conserving (SIAC) Filtering for Improving Discontinuous Galerkin Solutions

2011 ◽  
Vol 33 (2) ◽  
pp. 802-825 ◽  
Author(s):  
Paulien van Slingerland ◽  
Jennifer K. Ryan ◽  
C. Vuik
Keyword(s):  
Discontinuous Galerkin ◽  
Siac Filtering

scholarly journals Capitalizing on Superconvergence for More Accurate Multi-Resolution Discontinuous Galerkin Methods

2021 ◽  
Author(s):  
Jennifer K. Ryan
Keyword(s):  
Galerkin Method ◽  
Discontinuous Galerkin ◽  
Discontinuous Galerkin Method ◽  
Discontinuous Galerkin Methods ◽  
Galerkin Methods ◽  
Accurate Approximation ◽  
Siac Filtering ◽  
Multi Resolution Analysis ◽  
Resolution Analysis

AbstractThis 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.

SELECTION OF VISCOUS TERMS APPROXIMATION IN DISCONTINUOUS GALERKIN METHOD

2013 ◽  
Vol 44 (3) ◽  
pp. 327-354
Author(s):  
Aleksey Igorevich Troshin ◽  
Vladimir Viktorovich Vlasenko ◽  
Andrey Viktorovich Wolkov
Keyword(s):  
Galerkin Method ◽  
Discontinuous Galerkin ◽  
Discontinuous Galerkin Method ◽  
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