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HelmholtzPadeLagrangeApproximant.py
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Created
Mon, Aug 19, 23:45
Size
4 KB
Mime Type
text/x-python
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Wed, Aug 21, 23:45 (2 d)
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blob
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Handle
20031618
Attached To
R6746 RationalROMPy
HelmholtzPadeLagrangeApproximant.py
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#!/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
))
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