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KIAM Preprint № 134, Moscow, 2017
Authors: Bakhvalov P. A.
On the long-time simulation accuracy of the discontinuous Galerkin method for 1D transport equation
Abstract:
Unsteady corrector method is applied to study the DG method for 1D transport equation with constant velocity. Only smooth solutions are considered. On arbitrary non-uniform mesh we prove that the numerical error satisfies ||e|| = O(h(k+1) + th(2k+1)) where k + 1 is the number of DOFs at one cell.
Keywords:
discontinuous Galerkin method, consistency and accuracy, supraconvergence, long-time simulation accuracy
Publication language: russian,  pages: 24
Research direction:
Mathematical problems and theory of numerical methods
Russian source text:
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About authors:
  • Bakhvalov Pavel Alexeevisch,  orcid.org/0000-0003-3416-8277KIAM RAS