Составители:
h A
D
D
V
h
r > 1
||v −Π
h
v|| + h||∇(v − Π
h
v)|| ≤ Ch
s
||v||
s
, 1 ≤ s ≤ r, v ∈ H
s
(Ω),
Π
h
: V → V
h
h || •|| =
|| • ||
L
2
(Ω)
r = 2
u L
2
(Ω)
V
h
0 ≤ t ≤ T
||u(t) − u
h
(t)|| ≤ Ce
−αt
h
r
||u
0
||
r
+ Ch
r
||u(t)||
r
+
Z
t
0
e
−α(t−s)
||u
t
(s)||
r
ds
.
O(h
2
)
L
2
D
D → D = {
¯
d
ii
},
¯
d
ii
=
X
k
d
ik
.
(ϕ
i
, ϕ
j
)
