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funnel_output.py
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Fri, May 17, 10:53

funnel_output.py

import numpy as np
from funnel_output_engine import FunnelOutputEngine as engine
from rrompy.reduction_methods.standard import RationalInterpolant as RI
from rrompy.reduction_methods.greedy import RationalInterpolantGreedy as RIG
from rrompy.parameter.parameter_sampling import QuadratureSampler as QS
ks = [5., 10.]
k0, n = np.mean(ks), 50
solver = engine(k0, n)
k = 6.5
for method in ["RI", "RI_OUTPUT", "RI_GREEDY", "RI_GREEDY_OUTPUT"]:
print("Testing {} method".format(method))
if "GREEDY" not in method:
params = {'N':19, 'M':19, 'S':20, 'POD':True, 'polybasis':"CHEBYSHEV",
'sampler':QS(ks, "CHEBYSHEV")}
algo = RI
if "GREEDY" in method:
params = {'S':2, 'POD':True, 'polybasis':"LEGENDRE", 'greedyTol':1e-1,
'maxIter':25, 'sampler':QS(ks, "UNIFORM"),
'errorEstimatorKind':"LOOK_AHEAD_OUTPUT"}
algo = RIG
approx = algo(solver, mu0 = k0, approx_state = method[-7 :] != "_OUTPUT",
approxParameters = params, verbosity = 5)
if "GREEDY" not in method:
approx.setupApprox()
else:
approx.setupApprox("LAST")
approx.plotApprox(k, name = 'u_app')
approx.plotHF(k, name = 'u_HF')
approx.plotErr(k, name = 'err')
normErr = approx.normErr(k)[0]
normSol = approx.normHF(k)[0]
print("SolNorm:\t{:.5e}\nErr:\t{:.5e}\nErrRel:\t{:.5e}".format(
normSol, normErr, normErr / normSol))
print("Poles:\n{}".format(approx.getPoles()))
print("\n")

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