A CFL‐free explicit characteristic interior penalty scheme for linear advection‐reaction equations |
| |
| Authors: | Kaixin Wang Hong Wang Mohamed Al‐Lawatia |
| |
| Institution: | 1. School of Mathematics and System Sciences, Shandong University, Jinan, Shandong 250100, China;2. Department of Mathematics, University of South Carolina, Columbia, South Carolina 29208;3. Department of Mathematics and Statistics, Sultan Qaboos University, Al‐Khod 123, Sultanate of Oman |
| |
| Abstract: | We develop a CFL‐free, explicit characteristic interior penalty scheme (CHIPS) for one‐dimensional first‐order advection‐reaction equations by combining a Eulerian‐Lagrangian approach with a discontinuous Galerkin framework. The CHIPS method retains the numerical advantages of the discontinuous Galerkin methods as well as characteristic methods. An optimal‐order error estimate in the L2 norm for the CHIPS method is derived and numerical experiments are presented to confirm the theoretical estimates. © 2009 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq, 2010 |
| |
| Keywords: | Courant‐Friedrichs‐Lewy condition characteristic methods discontinuous Galerkin method Eulerian‐Lagrangian methods interior penalty methods |
|
|
