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HelmholtzRBLagrangeApproximant.py
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Created
Mon, Oct 28, 17:22
Size
3 KB
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text/x-python
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Wed, Oct 30, 17:22 (1 d, 23 h)
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blob
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21997412
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R6746 RationalROMPy
HelmholtzRBLagrangeApproximant.py
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#!/usr/bin/env python3
import
numpy
as
np
from
context
import
FreeFemHelmholtzEngine
as
HFEngine
from
context
import
FreeFemHelmholtzScatteringEngine
as
HFSEngine
from
context
import
FreeFemHelmholtzScatteringAugmentedEngine
as
HFSAEngine
from
context
import
FreeFemHSEngine
as
HSEngine
from
context
import
FreeFemHSAugmentedEngine
as
HSAEngine
from
context
import
ROMApproximantLagrangeRB
as
RB
PI
=
np
.
pi
testNo
=
4
if
testNo
==
1
:
params
=
{
'S'
:
5
,
'nodesType'
:
'CHEBYSHEV'
,
'POD'
:
True
}
z0s
=
[
10
+
.
5j
,
14
+
.
5j
]
z0
=
np
.
mean
(
z0s
)
ztar
=
11
from
FreeFem_snippets
import
SquareHomogeneousBubble
bdr
,
V
,
f
=
SquareHomogeneousBubble
(
kappa
=
12
**
.
5
,
theta
=
np
.
pi
/
3
,
n
=
40
)
solver
=
HFEngine
(
V
,
z0
**.
5
,
forcingTerm
=
f
,
DirichletBoundary
=
bdr
)
plotter
=
HSEngine
(
solver
.
V
)
approx
=
RB
(
solver
,
plotter
,
ks
=
z0s
,
w
=
np
.
real
(
z0
**.
5
),
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
(
True
))
############
elif
testNo
==
2
:
params
=
{
'S'
:
10
,
'nodesType'
:
'CHEBYSHEV'
,
'POD'
:
True
}
z0s
=
np
.
power
([
3.85
+
.
15j
,
4.15
+
.
15j
],
2.
)
z0
=
np
.
mean
(
z0s
)
ztar
=
4
**
2.
from
FreeFem_snippets
import
SquareTransmissionDirichlet
bdr
,
V
,
n
,
u0
=
SquareTransmissionDirichlet
(
nT
=
2
,
nB
=
1
,
theta
=
np
.
pi
*
45
/
180
,
kappa
=
4.
,
n
=
50
)
solver
=
HFEngine
(
V
,
z0
**.
5
,
refractionIndex
=
n
,
DirichletBoundary
=
bdr
,
DirichletDatum
=
u0
)
plotter
=
HSEngine
(
solver
.
V
)
approx
=
RB
(
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'
)
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
=
{
'S'
:
30
,
'nodesType'
:
'CHEBYSHEV'
,
'POD'
:
True
}
k0s
=
[
0
,
8
]
k0
=
np
.
mean
(
k0s
)
ktar
=
4.5
from
FreeFem_snippets
import
SquareScatteringTB
bdrD
,
bdrN
,
V
,
f
=
SquareScatteringTB
(
kappa
=
4
,
theta
=
np
.
pi
/
3
,
n
=
40
)
if
testNo
==
3
:
solver
=
HFSEngine
(
V
,
k0
,
forcingTerm
=
f
,
DirichletBoundary
=
bdrD
,
RobinBoundary
=
bdrN
)
plotter
=
HSEngine
(
solver
.
V
)
else
:
solver
=
HFSAEngine
(
V
,
k0
,
forcingTerm
=
f
,
DirichletBoundary
=
bdrD
,
RobinBoundary
=
bdrN
)
plotter
=
HSAEngine
(
solver
.
V
,
2
)
approx
=
RB
(
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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