Page Menu
Home
c4science
Search
Configure Global Search
Log In
Files
F90052078
HelmholtzPadeLagrangeApproximant.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, 21:16
Size
4 KB
Mime Type
text/x-python
Expires
Wed, Oct 30, 21:16 (2 d)
Engine
blob
Format
Raw Data
Handle
21999639
Attached To
R6746 RationalROMPy
HelmholtzPadeLagrangeApproximant.py
View Options
#!/usr/bin/env python3
import
numpy
as
np
from
context
import
FenicsHelmholtzEngine
as
HFEngine
from
context
import
FenicsHelmholtzScatteringEngine
as
HFSEngine
from
context
import
FenicsHelmholtzScatteringAugmentedEngine
as
HFSAEngine
from
context
import
FenicsHSEngine
as
HSEngine
from
context
import
FenicsHSAugmentedEngine
as
HSAEngine
from
context
import
ROMApproximantLagrangePade
as
Pade
testNo
=
4
if
testNo
==
1
:
params
=
{
'N'
:
4
,
'M'
:
3
,
'S'
:
5
,
'polyBasis'
:
'CHEBYSHEV'
,
'POD'
:
True
}
z0s
=
[
10
+
.
5j
,
14
+
.
5j
]
z0
=
np
.
mean
(
z0s
)
ztar
=
11
from
FEniCS_snippets
import
SquareHomogeneousBubble
boundary
,
mesh
,
forcingTerm
=
SquareHomogeneousBubble
(
kappa
=
12
**
.
5
,
theta
=
np
.
pi
/
3
,
n
=
40
)
solver
=
HFEngine
(
mesh
=
mesh
,
wavenumber
=
z0
**.
5
,
forcingTerm
=
forcingTerm
,
FEDegree
=
3
,
DirichletBoundary
=
boundary
,
DirichletDatum
=
0
)
plotter
=
HSEngine
(
solver
.
V
)
approx
=
Pade
(
solver
,
plotter
,
ks
=
z0s
,
w
=
np
.
real
(
z0
**.
5
),
approxParameters
=
params
)
approx
.
plotApp
(
ztar
,
name
=
'u_RB'
)
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
(
True
))
############
elif
testNo
==
2
:
params
=
{
'N'
:
9
,
'M'
:
8
,
'S'
:
10
,
'polyBasis'
:
'CHEBYSHEV'
,
'POD'
:
True
}
z0s
=
np
.
power
([
3.85
+
.
15j
,
4.15
+
.
15j
],
2.
)
z0
=
np
.
mean
(
z0s
)
ztar
=
4
**
2.
from
FEniCS_snippets
import
SquareTransmissionDirichlet
boundary
,
mesh
,
n
,
u0
=
SquareTransmissionDirichlet
(
nT
=
2
,
nB
=
1
,
theta
=
np
.
pi
*
45
/
180
,
kappa
=
4.
,
n
=
50
)
solver
=
HFEngine
(
mesh
=
mesh
,
wavenumber
=
z0
**.
5
,
refractionIndex
=
n
,
FEDegree
=
3
,
DirichletBoundary
=
boundary
,
DirichletDatum
=
u0
)
plotter
=
HSEngine
(
solver
.
V
)
approx
=
Pade
(
solver
,
plotter
,
ks
=
z0s
,
w
=
np
.
real
(
z0
**.
5
),
approxParameters
=
params
,
plotSnap
=
'ALL'
)
approx
.
plotApp
(
ztar
,
name
=
'u_Pade'''
)
approx
.
plotHF
(
ztar
,
name
=
'u_HF'
)
approx
.
plotErr
(
ztar
,
name
=
'err'
)
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
(
True
))
############
elif
testNo
in
[
3
,
4
]:
params
=
{
'N'
:
40
,
'M'
:
39
,
'S'
:
45
,
'polyBasis'
:
'CHEBYSHEV'
,
'POD'
:
True
}
k0s
=
[
0
,
8
]
k0
=
np
.
mean
(
k0s
)
ktar
=
4.5
from
FEniCS_snippets
import
SquareScatteringTB
bdrD
,
bdrN
,
mesh
,
forcingTerm
=
SquareScatteringTB
(
kappa
=
4
,
theta
=
np
.
pi
/
2
,
n
=
40
)
if
testNo
==
3
:
solver
=
HFSEngine
(
mesh
=
mesh
,
wavenumber
=
k0
,
FEDegree
=
3
,
forcingTerm
=
forcingTerm
,
DirichletBoundary
=
bdrD
,
RobinBoundary
=
bdrN
)
plotter
=
HSEngine
(
solver
.
V
)
else
:
solver
=
HFSAEngine
(
mesh
=
mesh
,
wavenumber
=
k0
,
FEDegree
=
3
,
forcingTerm
=
forcingTerm
,
DirichletBoundary
=
bdrD
,
RobinBoundary
=
bdrN
)
plotter
=
HSAEngine
(
solver
.
V
,
2
)
approx
=
Pade
(
solver
,
plotter
,
ks
=
k0s
,
approxParameters
=
params
)
approx
.
plotApp
(
ktar
,
name
=
'u_RB'
)
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
(
True
))
Event Timeline
Log In to Comment