Boundary Value Problems

Table 7 Periodic case: Computational errors in the $L^{2}$ -norm and the energy norm for $P^{1}$ approximation with respect to time step ( $h = 0.05$ )

From: Analysis and application of the discontinuous Galerkin method to the RLW equation

τ	$t = 20.0$		$t = 20.0$
τ	${err}_{τ}^{0}$	EOC	${err}_{τ}^{1}$	EOC
0.2000	7.690E-02	-	2.287E-02	-
0.1000	4.061E-02	0.921	1.221E-02	0.905
0.0500	2.078E-02	0.967	6.393E-03	0.934
0.0250	1.044E-02	0.993	3.453E-03	0.889
0.0125	5.514E-03	0.921	1.831E-03	0.915

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