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PadeTaylor.py
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Created
Thu, Jun 6, 00:48
Size
3 KB
Mime Type
text/x-python
Expires
Sat, Jun 8, 00:48 (2 d)
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blob
Format
Raw Data
Handle
18122846
Attached To
R6746 RationalROMPy
PadeTaylor.py
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import
numpy
as
np
from
rrompy.hfengines.scipy
import
HelmholtzSquareBubbleProblemEngine
as
HSBPE
from
rrompy.hfengines.scipy
import
(
HelmholtzSquareTransmissionProblemEngine
as
HSTPE
)
from
rrompy.hfengines.scipy
import
HelmholtzBoxScatteringProblemEngine
as
HBSPE
from
rrompy.reduction_methods.taylor
import
ApproximantTaylorPade
as
Pade
testNo
=
2
verb
=
0
homog
=
True
#homog = False
if
testNo
==
1
:
params
=
{
'N'
:
4
,
'M'
:
3
,
'E'
:
4
,
'sampleType'
:
'Arnoldi'
,
'POD'
:
True
}
k0
=
12
**
.
5
ktar
=
10.5
**
.
5
solver
=
HSBPE
(
kappa
=
12
**
.
5
,
theta
=
np
.
pi
/
3
,
n
=
40
,
verbosity
=
verb
)
solver
.
omega
=
np
.
real
(
k0
)
approx
=
Pade
(
solver
,
mu0
=
k0
,
approxParameters
=
params
,
verbosity
=
verb
)
approx
.
setupApprox
()
# approx.plotSamples()
approx
.
plotApp
(
ktar
,
name
=
'u_Pade'''
)
approx
.
plotHF
(
ktar
,
name
=
'u_HF'
)
approx
.
plotErr
(
ktar
,
name
=
'err'
)
approx
.
plotRes
(
ktar
,
name
=
'res'
)
appErr
,
solNorm
=
approx
.
normErr
(
ktar
),
approx
.
normHF
(
ktar
)
resNorm
,
RHSNorm
=
approx
.
normRes
(
ktar
),
approx
.
normRHS
(
ktar
)
print
((
'SolNorm:
\t
{}
\n
Err:
\t
{}
\n
ErrRel:
\t
{}'
)
.
format
(
solNorm
,
appErr
,
np
.
divide
(
appErr
,
solNorm
)))
print
((
'RHSNorm:
\t
{}
\n
Res:
\t
{}
\n
ResRel:
\t
{}'
)
.
format
(
RHSNorm
,
resNorm
,
np
.
divide
(
resNorm
,
RHSNorm
)))
print
(
'
\n
Poles Pade'':'
)
print
(
approx
.
getPoles
())
############
elif
testNo
==
2
:
params
=
{
'N'
:
6
,
'M'
:
7
,
'E'
:
7
,
'sampleType'
:
'Arnoldi'
,
'POD'
:
True
}
k0
=
16
**
.
5
ktar
=
15
**
.
5
solver
=
HSTPE
(
nT
=
2
,
nB
=
1
,
theta
=
np
.
pi
*
45
/
180
,
kappa
=
4.
,
n
=
50
,
verbosity
=
verb
)
solver
.
omega
=
np
.
real
(
k0
)
approx
=
Pade
(
solver
,
mu0
=
k0
,
approxParameters
=
params
,
verbosity
=
verb
,
homogeneize
=
homog
)
approx
.
setupApprox
()
# approx.plotSamples()
approx
.
plotApp
(
ktar
,
name
=
'u_Pade'''
)
approx
.
plotHF
(
ktar
,
name
=
'u_HF'
)
approx
.
plotErr
(
ktar
,
name
=
'err'
)
approx
.
plotRes
(
ktar
,
name
=
'res'
)
appErr
,
solNorm
=
approx
.
normErr
(
ktar
),
approx
.
normHF
(
ktar
)
resNorm
,
RHSNorm
=
approx
.
normRes
(
ktar
),
approx
.
normRHS
(
ktar
)
print
((
'SolNorm:
\t
{}
\n
Err:
\t
{}
\n
ErrRel:
\t
{}'
)
.
format
(
solNorm
,
appErr
,
np
.
divide
(
appErr
,
solNorm
)))
print
((
'RHSNorm:
\t
{}
\n
Res:
\t
{}
\n
ResRel:
\t
{}'
)
.
format
(
RHSNorm
,
resNorm
,
np
.
divide
(
resNorm
,
RHSNorm
)))
print
(
'
\n
Poles Pade'':'
)
print
(
approx
.
getPoles
())
############
elif
testNo
in
[
3
,
4
]:
if
testNo
==
3
:
params
=
{
'N'
:
7
,
'M'
:
8
,
'E'
:
8
,
'sampleType'
:
'Krylov'
,
'POD'
:
True
}
else
:
params
=
{
'N'
:
7
,
'M'
:
8
,
'E'
:
8
,
'sampleType'
:
'Arnoldi'
,
'POD'
:
True
}
k0
=
3
ktar
=
4.
+
0.j
solver
=
HBSPE
(
R
=
5
,
kappa
=
3
,
theta
=
-
np
.
pi
*
75
/
180
,
n
=
30
,
verbosity
=
verb
)
solver
.
omega
=
np
.
real
(
k0
)
approx
=
Pade
(
solver
,
mu0
=
k0
,
approxParameters
=
params
,
verbosity
=
verb
,
homogeneize
=
homog
)
approx
.
setupApprox
()
approx
.
plotSamples
()
approx
.
plotApp
(
ktar
,
name
=
'u_Pade'''
)
approx
.
plotHF
(
ktar
,
name
=
'u_HF'
)
approx
.
plotErr
(
ktar
,
name
=
'err'
)
approx
.
plotRes
(
ktar
,
name
=
'res'
)
appErr
,
solNorm
=
approx
.
normErr
(
ktar
),
approx
.
normHF
(
ktar
)
resNorm
,
RHSNorm
=
approx
.
normRes
(
ktar
),
approx
.
normRHS
(
ktar
)
print
((
'SolNorm:
\t
{}
\n
Err:
\t
{}
\n
ErrRel:
\t
{}'
)
.
format
(
solNorm
,
appErr
,
np
.
divide
(
appErr
,
solNorm
)))
print
((
'RHSNorm:
\t
{}
\n
Res:
\t
{}
\n
ResRel:
\t
{}'
)
.
format
(
RHSNorm
,
resNorm
,
np
.
divide
(
resNorm
,
RHSNorm
)))
print
(
'
\n
Poles Pade'':'
)
print
(
approx
.
getPoles
())
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