http://www.colloquiam.com/wd/index.php?action=history&feed=atom&title=Dong_Mascotto_2021Dong Mascotto 2021 - Revision history2026-06-10T19:04:50ZRevision history for this page on the wikiMediaWiki 1.27.0-wmf.10http://www.colloquiam.com/wd/index.php?title=Dong_Mascotto_2021&diff=223677&oldid=prevMove page script: Move page script moved page Cangiani et al 2021a to Dong Mascotto 20212021-04-16T14:28:55Z<p>Move page script moved page <a href="/public/Cangiani_et_al_2021a" class="mw-redirect" title="Cangiani et al 2021a">Cangiani et al 2021a</a> to <a href="/public/Dong_Mascotto_2021" title="Dong Mascotto 2021">Dong Mascotto 2021</a></p>
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</td></tr></table>Move page scripthttp://www.colloquiam.com/wd/index.php?title=Dong_Mascotto_2021&diff=219084&oldid=prevScipediacontent: Scipediacontent moved page Draft Content 103118525 to Cangiani et al 2021a2021-03-11T15:59:38Z<p>Scipediacontent moved page <a href="/public/Draft_Content_103118525" class="mw-redirect" title="Draft Content 103118525">Draft Content 103118525</a> to <a href="/public/Cangiani_et_al_2021a" class="mw-redirect" title="Cangiani et al 2021a">Cangiani et al 2021a</a></p>
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</td></tr></table>Scipediacontenthttp://www.colloquiam.com/wd/index.php?title=Dong_Mascotto_2021&diff=219083&oldid=prevScipediacontent: Created page with "== Abstract == We address the issue of the suboptimality in the p-version discontinuous Galerkin (dG) methods for first order hyperbolic problems. The convergence rate is der..."2021-03-11T15:59:35Z<p>Created page with "== Abstract == We address the issue of the suboptimality in the p-version discontinuous Galerkin (dG) methods for first order hyperbolic problems. The convergence rate is der..."</p>
<p><b>New page</b></p><div>== Abstract ==<br />
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We address the issue of the suboptimality in the p-version discontinuous Galerkin (dG) methods for first order hyperbolic problems. The convergence rate is derived for the upwind dG scheme on tensor product meshes in any dimension. The standard proof in seminal work [14] leads to suboptimal convergence in terms of the polynomial degree by 3/2 order for general convection fields, with the exception of piecewise multi-linear convection fields, which rather yield optimal convergence. Such suboptimality is not observed numerically. Thus, it might be caused by a limitation of the analysis, which we partially overcome: for a special class of convection fields, we shall show that the dG method has a p-convergence rate suboptimal by 1/2 order only.<br />
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== Full document ==<br />
<pdf>Media:Draft_Content_103118525p1780.pdf</pdf></div>Scipediacontent