Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
10345048 | Computers & Mathematics with Applications | 2015 | 5 Pages |
Abstract
The discontinuous Galerkin (dG) method outputs a sequence of polynomial pieces. Post-processing the sequence by Smoothness-Increasing Accuracy-Conserving (SIAC) convolution not only increases the smoothness of the sequence but can also improve its accuracy and yield superconvergence. SIAC convolution is considered optimal if the SIAC kernels, in the form of a linear combination of B-splines of degree d, reproduce polynomials of degree 2d. This paper derives simple formulas for computing the optimal SIAC spline coefficients for the general case including non-uniform knots.
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Physical Sciences and Engineering
Computer Science
Computer Science (General)
Authors
Jörg Peters,