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PadeLagrange.py
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Created
Thu, Oct 3, 04:22
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2 KB
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text/x-python
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Sat, Oct 5, 04:22 (2 d)
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blob
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Attached To
R6746 RationalROMPy
PadeLagrange.py
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import
numpy
as
np
from
rrompy.hfengines.fenics
import
HelmholtzSquareBubbleProblemEngine
as
HSBPE
from
rrompy.hfengines.fenics
import
HelmholtzSquareTransmissionProblemEngine
as
HSTPE
from
rrompy.hfengines.fenics
import
HelmholtzBoxScatteringProblemEngine
as
HBSPE
from
rrompy.hsengines.fenics
import
HSEngine
as
HS
from
rrompy.reduction_methods.lagrange
import
ApproximantLagrangePade
as
Pade
from
rrompy.utilities.parameter_sampling
import
QuadratureSampler
as
QS
testNo
=
1
if
testNo
==
1
:
z0s
=
[
10
+
0.j
,
14
+
0.j
]
z0
=
np
.
mean
(
z0s
)
ztar
=
11
+
.
5j
params
=
{
'N'
:
4
,
'M'
:
3
,
'S'
:
5
,
'POD'
:
True
,
'sampler'
:
QS
(
z0s
,
"CHEBYSHEV"
)}
solver
=
HSBPE
(
kappa
=
12
**
.
5
,
theta
=
np
.
pi
/
3
,
n
=
40
)
solver
.
omega
=
np
.
real
(
z0
**.
5
)
plotter
=
HS
(
solver
.
V
)
approx
=
Pade
(
solver
,
plotter
,
mu0
=
z0
,
approxParameters
=
params
)
#,
# plotSnap = 'ALL')
approx
.
plotApp
(
ztar
,
name
=
'u_Pade'''
)
approx
.
plotHF
(
ztar
,
name
=
'u_HF'
)
approx
.
plotErr
(
ztar
,
name
=
'err'
)
appErr
,
solNorm
=
approx
.
approxError
(
ztar
),
approx
.
HFNorm
(
ztar
)
print
((
'SolNorm:
\t
{}
\n
Err:
\t
{}
\n
ErrRel:
\t
{}'
)
.
format
(
solNorm
,
appErr
,
np
.
divide
(
appErr
,
solNorm
)))
print
(
'
\n
Poles Pade'':'
)
print
(
approx
.
getPoles
())
############
elif
testNo
==
2
:
z0s
=
np
.
power
([
3.85
+
0.j
,
4.15
+
0.j
],
2.
)
z0
=
np
.
mean
(
z0s
)
ztar
=
(
4
+
.
15j
)
**
2.
params
=
{
'N'
:
9
,
'M'
:
8
,
'S'
:
10
,
'POD'
:
True
,
'sampler'
:
QS
(
z0s
,
"CHEBYSHEV"
)}
solver
=
HSTPE
(
nT
=
2
,
nB
=
1
,
theta
=
np
.
pi
*
45
/
180
,
kappa
=
4.
,
n
=
50
)
solver
.
omega
=
np
.
real
(
z0
**.
5
)
plotter
=
HS
(
solver
.
V
)
approx
=
Pade
(
solver
,
plotter
,
mu0
=
z0
,
approxParameters
=
params
,
plotSnap
=
'ALL'
)
approx
.
plotApp
(
ztar
,
name
=
'u_Pade'''
)
approx
.
plotHF
(
ztar
,
name
=
'u_HF'
)
approx
.
plotErr
(
ztar
,
name
=
'err'
)
appErr
,
solNorm
=
approx
.
approxError
(
ztar
),
approx
.
HFNorm
(
ztar
)
print
((
'SolNorm:
\t
{}
\n
Err:
\t
{}
\n
ErrRel:
\t
{}'
)
.
format
(
solNorm
,
appErr
,
np
.
divide
(
appErr
,
solNorm
)))
print
(
'
\n
Poles Pade'':'
)
print
(
approx
.
getPoles
())
############
elif
testNo
==
3
:
k0s
=
[
2
,
5
]
k0
=
np
.
mean
(
k0s
)
ktar
=
4.5
-
.
2j
params
=
{
'N'
:
10
,
'M'
:
9
,
'S'
:
15
,
'POD'
:
True
,
'sampler'
:
QS
(
k0s
,
"CHEBYSHEV"
)}
solver
=
HBSPE
(
R
=
7
,
kappa
=
3
,
theta
=
-
np
.
pi
*
75
/
180
,
n
=
40
)
solver
.
omega
=
np
.
real
(
k0
)
plotter
=
HS
(
solver
.
V
)
approx
=
Pade
(
solver
,
plotter
,
mu0
=
k0
,
approxParameters
=
params
)
#,
# plotSnap = 'ALL')
approx
.
plotApp
(
ktar
,
name
=
'u_Pade'''
)
approx
.
plotHF
(
ktar
,
name
=
'u_HF'
)
approx
.
plotErr
(
ktar
,
name
=
'err'
)
appErr
,
solNorm
=
approx
.
approxError
(
ktar
),
approx
.
HFNorm
(
ktar
)
print
((
'SolNorm:
\t
{}
\n
Err:
\t
{}
\n
ErrRel:
\t
{}'
)
.
format
(
solNorm
,
appErr
,
np
.
divide
(
appErr
,
solNorm
)))
print
(
'
\n
Poles Pade'':'
)
print
(
approx
.
getPoles
())
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