A New Positive Definite Expanded Mixed Finite Element Method for Parabolic Integrodifferential Equations

Table 1

The errors and convergence order.

(ℎ,𝛿)	‖𝑢−𝑢ℎ‖𝐿∞(𝐿2(Ω))	Order	‖𝜆−𝜆ℎ‖𝐿∞(𝐋2(Ω))	Order
√28,18	1.4527𝑒−002		1.3532𝑒−001
√2,11616	6.5250𝑒−003	1.15	6.9202𝑒−002
√2,13232	3.0841𝑒−003	1.08	3.5363𝑒−002
(ℎ,𝛿)	‖𝜎−𝜎ℎ‖𝐿∞(𝐋2(Ω))	Order	‖𝜎−𝜎ℎ‖𝐿∞(𝐻(div;Ω))
√28,18	3.3512𝑒−001		3.8892𝑒−001
√2,11616	1.6734𝑒−001	1.00	1.7291𝑒−001
√2,13232	8.3746𝑒−002	1.00	8.4431𝑒−002