Karakashian, Ohannes and Makridakis, Charalambos (2014) A posteriori error estimates for discontinuous Galerkin Methods for the Generalised Korteweg-de Vries Equation. Mathematics of Computation, 84. pp. 1145-1167. ISSN 0025-5718
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Abstract
We construct, analyze and numerically validate a posteriori error estimates for conservative discontinuous Galerkin (DG) schemes for the Generalized Korteweg-de Vries (GKdV) equation. We develop the concept of dispersive reconstruction, i.e., a piecewise polynomial function which satisfies the GKdV equation in the strong sense but with a computable forcing term enabling the use of a priori error estimation techniques to obtain computable upper bounds for the error. Both semidiscrete and fully discrete approximations are treated.
Item Type: | Article |
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Schools and Departments: | School of Mathematical and Physical Sciences > Mathematics |
Research Centres and Groups: | Numerical Analysis and Scientific Computing Research Group |
Subjects: | Q Science > QA Mathematics |
Depositing User: | Richard Chambers |
Date Deposited: | 24 Jan 2018 10:12 |
Last Modified: | 24 Jan 2018 12:23 |
URI: | http://srodev.sussex.ac.uk/id/eprint/73106 |
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