Parallel Nonoverlapping DDM Combined with the Characteristic Method for Incompressible Miscible Displacements in Porous Media

Table 1

𝐿²-norm error estimate of 𝑒_ℎ=𝑐−𝐶 at time 𝑡=0.5.

Grids	ℎ	𝐻/ℎ	Characteristic-FEM scheme		Characteristic-DDM scheme
			‖𝑒ℎ‖𝐿2	𝛼	‖𝑒ℎ‖𝐿2	𝛼
50×50	.5000𝑒−01	.1826𝑒+01	.0921𝑒−01		.0878𝑒−01
40×40	.2500𝑒−01	.2091𝑒+01	.2448𝑒−02	1.9100	.2282𝑒−02	1.9439
80×80	.1250𝑒−01	.2402𝑒+01	.6245𝑒−03	1.9708	.5781𝑒−03	1.9809
160×160	.6250𝑒−02	.2760𝑒+01	.1583𝑒−03	1.9800	.1455𝑒−03	1.9903