Searched for: subject:"process"
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document
Li, X. (author)
In this dissertation, we focus on exploiting superconvergence for discontinuous Galerkin methods and constructing a superconvergence extraction technique, in particular, Smoothness-Increasing Accuracy-Conserving (SIAC) filtering. The SIAC filtering technique is based on the superconvergence property of discontinuous Galerkin methods and aims to...
doctoral thesis 2015
document
King, J. (author), Mirzaee, H. (author), Ryan, J.K. (author), Kirby, R.M. (author)
Smoothness-increasing accuracy-conserving (SIAC) filtering has demonstrated its effectiveness in raising the convergence rate of discontinuous Galerkin solutions from order k + 12 to order 2k + 1 for specific types of translation invariant meshes (Cockburn et al. in Math. Comput. 72:577–606, 2003; Curtis et al. in SIAM J. Sci. Comput. 30(1):272...
journal article 2012
document
Ryan, J.K. (author)
Previous investigations into accuracy enhancement for the derivatives of a discontinuous Galerkin solution demonstrated that there are many ways to approach obtaining higher order accuracy in the derivatives, each with different advantageous properties [J.K. Ryan and B. Cockburn (2009), “Local Derivative Post-Processing for the Discontinuous...
report 2010
document
Ryan, J.K. (author)
Previous investigations into accuracy enhancement for the derivatives of a discontinuous Galerkin solution demonstrated that there are many ways to approach obtaining higher order accuracy in the derivatives, each with different advantageous properties. For the discontinuous Galerkin method, the order of accuracy without post-processing for the...
report 2010
document
Pham, H.T.M. (author)
doctoral thesis 2004
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