TY - GEN
T1 - High-order RKDG methods for computational electromagnetics
AU - Chen, Min Hung
AU - Cockburn, Bernardo
AU - Reitich, Fernando
PY - 2005
Y1 - 2005
N2 - We introduce a new Runge-Kutta discontinuous Galerkin (RKDG) method for problems of wave propagation that achieves full high-order convergence in time and space. For the time integration it uses an mth-order, m-stage, low storage strong stability preserving Runge-Kutta (SSP-RK) scheme which is an extension to a class of non-autonomous linear systems of a recently designed method for autonomous linear systems. This extension allows for a high-order accurate treatment of the inhomogeneous, time-dependent terms that enter the semi-discrete problem on account of the physical boundary conditions. Thus, if polynomials of degree k are used in the space discretization, the (RKDG) method is of overall order m = k + 1, for any k > 0. Numerical results in two space dimensions are presented that confirm the predicted convergence properties.
AB - We introduce a new Runge-Kutta discontinuous Galerkin (RKDG) method for problems of wave propagation that achieves full high-order convergence in time and space. For the time integration it uses an mth-order, m-stage, low storage strong stability preserving Runge-Kutta (SSP-RK) scheme which is an extension to a class of non-autonomous linear systems of a recently designed method for autonomous linear systems. This extension allows for a high-order accurate treatment of the inhomogeneous, time-dependent terms that enter the semi-discrete problem on account of the physical boundary conditions. Thus, if polynomials of degree k are used in the space discretization, the (RKDG) method is of overall order m = k + 1, for any k > 0. Numerical results in two space dimensions are presented that confirm the predicted convergence properties.
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M3 - Conference contribution
AN - SCOPUS:80053447904
SN - 0080444814
SN - 9780080444819
T3 - 3rd M.I.T. Conference on Computational Fluid and Solid Mechanics
SP - 1069
EP - 1071
BT - 3rd M.I.T. Conference on Computational Fluid and Solid Mechanics
T2 - 3rd M.I.T. Conference on Computational Fluid and Solid Mechanics
Y2 - 14 June 2005 through 17 June 2005
ER -