Characteristics Weak Galerkin Finite Element Methods for Convection-Dominated Diffusion Problems

Table 1

Error behavior of Example 1 with the setting (i) of 𝐵 and Δ𝑡/ℎ=0.5.

Δ𝑡	ℎ	‖𝑒0‖	Order≈	‖∇𝑑𝑒‖	Order≈
2^−4	2^−3	6.649e − 2	—	3.324e − 1	—
2^−5	2^−4	3.537e − 2	0.911	1.819e − 1	0.869
2^−6	2^−5	1.885e − 2	0.908	9.520e − 2	0.934
2^−7	2^−6	9.473e − 3	0.993	4.767e − 2	0.998
2^−8	2^−7	4.710e − 3	1.008	2.369e − 2	1.008