A CFL-Free Explicit Characteristic Interior Penalty Scheme for Linear Advection-Reaction Equations

作者：Wang Kaixin^*; Wang Hong; Al Lawatia Mohamed

来源：Numerical Methods for Partial Differential Equations, 2010, 26(3): 561-595.

DOI：10.1002/num.20447

• Courant-Friedrichs-Lewy condition
• characteristic methods
• discontinuous Galerkin method
• Eulerian-Lagrangian methods
• interior penalty methods

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 L(2) norm for the CHIPS method is derived and numerical experiments arc presented to confirm the theoretical estimates.

• 出版日期2010-5
• 单位山东大学