Modélisation, analyse mathématique et simulations numériques de ...

tel-00656013, version 1 - 3 Jan 2012
L1 error logscale
1
0.1
0.01
0.001
−0.5x
100 1000 10000
nx logscale
ε = 100
ε = 10
ε = 8
ε = 5
ε = 2
ε = 1
ε = 0.5
L1 error logscale
1
0.1
0.01
0.001
0.0001
−0.9x
100 1000 10000
nx logscale
ε = 0.1
ε = 0.01
ε = 1.e−3
ε = 1.e−4
ε = 1.e−6
ε = 1.e−8
Figure 4.2: L 1 error at time t = 1 for different regimes, with initial data (4.6.5).
L1 error logscale
0.1
0.01
0.001
0.0001
100 1000 10000
nx logscale
ε = 100
ε = 10
ε = 8
ε = 5
ε = 4
ε = 2
ε = 1
−0.97x
L1 error logscale
0.1
0.01
0.001
0.0001
100 1000 10000
nx logscale
ε = 0.5
ε = 0.1
ε = 0.01
ε = 1.e−3
ε = 1.e−4
ε = 1.e−6
ε = 1.e−8
Figure 4.3: L 1 error at time t = 1 for different regimes, with initial data (4.6.6).
−0.98x