A Coupling Method of New EMFE and FE for Fourth-Order Partial Differential Equation of Parabolic Type

Table 1

𝐿² and 𝐻¹-norms and convergence order for 𝑢.

(ℎ,Δ𝑡)	‖𝑢−𝑢ℎ‖𝐿∞(𝐿2(Ω))	Order	‖𝑢−𝑢ℎ‖𝐿∞(𝐻1(Ω))	Order
(√2/8,1/8)	2.8933𝑒−002		2.3766𝑒−001
(√2/16,1/16)	8.2158𝑒−003	1.8162	1.2986𝑒−001	0.8719
(√2/32,1/32)	2.1012𝑒−003	1.9672	6.8466𝑒−002	0.9235
(√2/64,1/64)	5.3511𝑒−004	1.9733	3.5245𝑒−002	0.9580