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|Title: ||Implicit Multistage Two-Derivative Discontinuous Galerkin Schemes for Viscous Conservation Laws|
|Authors: ||Jaust, Alexander|
Seal, David C.
|Issue Date: ||2016|
|Citation: ||JOURNAL OF SCIENTIFIC COMPUTING, 69 (2), p. 866-892|
|Abstract: ||In this paper we apply implicit two-derivative multistage time integrators to conservation laws in one and two dimensions. The one dimensional solver discretizes space with the classical discontinuous Galerkin method, and the two dimensional solver uses a hybridized discontinuous Galerkin spatial discretization for efficiency. We propose methods that permit us to construct implicit solvers using each of these spatial discretizations, wherein a chief difficulty is how to handle the higher derivatives in time. The end result is that the multiderivative time integrator allows us to obtain high-order accuracy in time while keeping the number of implicit stages at a minimum. We show numerical results validating and comparing methods.|
|Notes: ||Jaust, A (reprint author), Hasselt Univ, Vakgrp Wiskunde Stat, Agoralaan Gebouw D, B-3590 Diepenbeek, Belgium.
firstname.lastname@example.org; email@example.com; firstname.lastname@example.org|
|ISI #: ||000385151700016|
|Type: ||Journal Contribution|
|Validation: ||ecoom, 2017|
|Appears in Collections: ||Research publications|
Files in This Item:
|published version||1.16 MB||Adobe PDF|
|Peer-reviewed author version||2.02 MB||Adobe PDF|
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