TY - JOUR
T1 - A CFL-free explicit characteristic interior penalty scheme for linear advection-reaction equations
AU - Wang, Kaixin
AU - Wang, Hong
AU - Al-Lawatia, Mohamed
PY - 2010/5
Y1 - 2010/5
N2 - 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.
AB - 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.
KW - Characteristic methods
KW - Courant-friedrichs-lewy condition
KW - Discontinuous Galerkin method
KW - Eulerian-lagrangian methods
KW - Interior penalty methods
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U2 - 10.1002/num.20447
DO - 10.1002/num.20447
M3 - Article
AN - SCOPUS:77951793997
SN - 0749-159X
VL - 26
SP - 561
EP - 595
JO - Numerical Methods for Partial Differential Equations
JF - Numerical Methods for Partial Differential Equations
IS - 3
ER -