Dispersion and dissipation error in high-order Runge-Kutta ...

More documents

Recommendations

Info

[37] K. S. Yee. Numerical solution of initial boundary value problems involving Maxwell’s equation in isotropic media. IEEE Trans. Antennas Prop., 14(3):302–307, 1966. 20
p=2 p=4 1 0.8 0.6 0.4 0.2 0 −0.2 −0.4 −0.6 −0.8 −1 1 0.8 0.6 0.4 0.2 0 −0.2 −0.4 −0.6 −0.8 −1 −1 −0.5 0 0.5 1 p=6 −1 −0.5 0 0.5 1 p=10 1 0.8 0.6 0.4 0.2 0 −0.2 −0.4 −0.6 −0.8 −1 1 0.8 0.6 0.4 0.2 0 −0.2 −0.4 −0.6 −0.8 −1 −1 −0.5 0 0.5 1 −1 −0.5 0 0.5 1 Figure 1: Electrostatic points for orders p = 2, 4, 6, 10 21
Page 1 and 2: Dispersion and dissipation error in
Page 3 and 4: ehaviour of the DG method for the t
Page 5 and 6: 3 Discontinuous Galerkin discretisa
Page 7 and 8: The right-hand side of (10) is resp
Page 9 and 10: 4 Runge-Kutta time-stepping methods
Page 11 and 12: or they can be expressed by the wav
Page 13 and 14: with complex numerical frequencies
Page 15 and 16: Perhaps even more illuminating is t
Page 17 and 18: that the convergence rate of the di
Page 19: [22] F. Q. Hu and H. L. Atkins. Eig
Page 23 and 24: 40 1 35 30 DoF / λ 25 20 0.05 15 0
Page 25 and 26: 0.2 0.0001 3e−05 1e−05 ∆ t /
Page 27 and 28: DoF / λ DoF / λ ∆ t / ∆ t max
Page 29 and 30: 15 Frequency error is 0.001 15 Freq
Page 31 and 32: Table II: Convergence of the global
Page 33 and 34: Table IV: Computational work needed
Page 35: Table VI: Convergence of the dissip

Dispersion and dissipation error in high-order Runge-Kutta ...

You also want an ePaper? Increase the reach of your titles

Delete template?

Save as template?