Page Menu
Home
c4science
Search
Configure Global Search
Log In
Files
F90033958
HelmholtzPadeTaylorApproximant.py
No One
Temporary
Actions
Download File
Edit File
Delete File
View Transforms
Subscribe
Mute Notifications
Award Token
Subscribers
None
File Metadata
Details
File Info
Storage
Attached
Created
Mon, Oct 28, 16:40
Size
2 KB
Mime Type
text/x-python
Expires
Wed, Oct 30, 16:40 (2 d)
Engine
blob
Format
Raw Data
Handle
21996984
Attached To
R6746 RationalROMPy
HelmholtzPadeTaylorApproximant.py
View Options
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.taylor
import
ApproximantTaylorPade
as
Pade
testNo
=
2
if
testNo
==
1
:
params
=
{
'N'
:
4
,
'M'
:
3
,
'E'
:
4
,
'sampleType'
:
'Arnoldi'
,
'POD'
:
True
}
z0
=
12
+.
5j
ztar
=
11
solver
=
HSBPE
(
kappa
=
12
**
.
5
,
theta
=
np
.
pi
/
3
,
n
=
40
)
plotter
=
HS
(
solver
.
V
)
approx
=
Pade
(
solver
,
plotter
,
mu0
=
z0
,
approxParameters
=
params
)
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
:
params
=
{
'N'
:
7
,
'M'
:
6
,
'E'
:
7
,
'sampleType'
:
'Arnoldi'
,
'POD'
:
True
}
z0
=
16
ztar
=
14
solver
=
HSTPE
(
nT
=
2
,
nB
=
1
,
theta
=
np
.
pi
*
45
/
180
,
kappa
=
4.
,
n
=
50
)
plotter
=
HS
(
solver
.
V
)
approx
=
Pade
(
solver
,
plotter
,
mu0
=
z0
,
approxParameters
=
params
,
plotDer
=
'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
:
params
=
{
'N'
:
8
,
'M'
:
7
,
'E'
:
8
,
'sampleType'
:
'Krylov'
,
'POD'
:
True
}
k0
=
3
ktar
=
4
+.
5j
solver
=
HBSPE
(
R
=
5
,
kappa
=
3
,
theta
=
-
np
.
pi
*
75
/
180
,
n
=
30
)
plotter
=
HS
(
solver
.
V
)
approx
=
Pade
(
solver
,
plotter
,
mu0
=
k0
,
approxParameters
=
params
)
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
())
Event Timeline
Log In to Comment