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scatteringSquare.py
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Created
Sat, May 4, 21:20
Size
2 KB
Mime Type
text/x-python
Expires
Mon, May 6, 21:20 (2 d)
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blob
Format
Raw Data
Handle
17473047
Attached To
R6746 RationalROMPy
scatteringSquare.py
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from
copy
import
copy
import
numpy
as
np
from
rrompy.hfengines.linear_problem
import
\
HelmholtzCavityScatteringProblemEngine
as
CSPE
from
rrompy.reduction_methods.centered
import
RationalPade
as
PC
from
rrompy.reduction_methods.distributed
import
RationalInterpolant
as
PD
from
rrompy.reduction_methods.centered
import
RBCentered
as
RBC
from
rrompy.reduction_methods.distributed
import
RBDistributed
as
RBD
from
rrompy.parameter.parameter_sampling
import
QuadratureSampler
as
QS
from
operator
import
itemgetter
def
subdict
(
d
,
ks
):
return
dict
(
zip
(
ks
,
itemgetter
(
*
ks
)(
d
)))
verb
=
0
####################
test
=
"solve"
test
=
"Centered"
test
=
"Distributed"
plotSamples
=
True
k0
=
10
kLeft
,
kRight
=
9
,
11
ktar
=
9.5
ktars
=
np
.
linspace
(
8.5
,
11.5
,
125
)
#ktars = np.array([k0])
kappa
=
5
n
=
50
solver
=
CSPE
(
kappa
=
kappa
,
n
=
n
,
verbosity
=
verb
)
solver
.
omega
=
k0
if
test
==
"solve"
:
uh
=
solver
.
solve
(
k0
)
print
(
solver
.
norm
(
uh
))
solver
.
plot
(
uh
,
what
=
[
'ABS'
,
'REAL'
])
elif
test
in
[
"Centered"
,
"Distributed"
]:
if
test
==
"Centered"
:
params
=
{
'N'
:
8
,
'M'
:
7
,
'R'
:
8
,
'E'
:
8
,
'POD'
:
True
}
parPade
=
subdict
(
params
,
[
'N'
,
'M'
,
'E'
,
'POD'
])
parRB
=
subdict
(
params
,
[
'R'
,
'E'
,
'POD'
])
approxPade
=
PC
(
solver
,
mu0
=
k0
,
approxParameters
=
parPade
,
verbosity
=
verb
)
approxRB
=
RBC
(
solver
,
mu0
=
k0
,
approxParameters
=
parRB
,
verbosity
=
verb
)
else
:
params
=
{
'N'
:
8
,
'M'
:
8
,
'R'
:
9
,
'S'
:
9
,
'POD'
:
True
,
'basis'
:
"MONOMIAL"
,
'sampler'
:
QS
([
kLeft
,
kRight
],
"CHEBYSHEV"
)}
params
=
{
'N'
:
8
,
'M'
:
8
,
'R'
:
9
,
'S'
:
9
,
'POD'
:
True
,
'basis'
:
"CHEBYSHEV"
,
'sampler'
:
QS
([
kLeft
,
kRight
],
"CHEBYSHEV"
)}
parPade
=
subdict
(
params
,
[
'N'
,
'M'
,
'S'
,
'POD'
,
'basis'
])
parRB
=
subdict
(
params
,
[
'R'
,
'S'
,
'POD'
])
approxPade
=
PD
(
solver
,
mu0
=
np
.
mean
([
kLeft
,
kRight
]),
approxParameters
=
parPade
,
verbosity
=
verb
)
approxRB
=
RBD
(
solver
,
mu0
=
np
.
mean
([
kLeft
,
kRight
]),
approxParameters
=
parRB
,
verbosity
=
verb
)
approxPade
.
setupApprox
()
approxRB
.
setupApprox
()
if
plotSamples
:
approxPade
.
plotSamples
()
PadeErr
,
solNorm
=
approxPade
.
normErr
(
ktar
),
approxPade
.
normHF
(
ktar
)
RBErr
=
approxRB
.
normErr
(
ktar
)
print
((
'SolNorm:
\t
{}
\n
ErrPade:
\t
{}
\n
ErrRelPade:
\t
{}
\n
ErrRB:
\t\t
{}'
'
\n
ErrRelRB:
\t
{}'
)
.
format
(
solNorm
,
PadeErr
,
np
.
divide
(
PadeErr
,
solNorm
),
RBErr
,
np
.
divide
(
RBErr
,
solNorm
)))
print
(
'
\n
Poles Pade'':'
)
print
(
approxPade
.
getPoles
())
print
(
'
\n
Poles RB:'
)
print
(
approxRB
.
getPoles
())
approxPade
.
plotHF
(
ktar
,
name
=
'u_ex'
)
approxPade
.
plotApprox
(
ktar
,
name
=
'u_Pade'''
)
approxRB
.
plotApprox
(
ktar
,
name
=
'u_RB'
)
approxPade
.
plotErr
(
ktar
,
name
=
'errPade'''
)
approxRB
.
plotErr
(
ktar
,
name
=
'errRB'
)
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