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RROMPy/examples/pod/RBLagrange.py
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RBLagrange.py
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import numpy as np
from rrompy.hfengines.scipy import HelmholtzSquareBubbleProblemEngine as HSBPE
from rrompy.hfengines.scipy import HelmholtzSquareTransmissionProblemEngine as HSTPE
from rrompy.hfengines.scipy import HelmholtzBoxScatteringProblemEngine as HBSPE
from rrompy.reduction_methods.lagrange import ApproximantLagrangeRB as RB
from rrompy.utilities.parameter_sampling import QuadratureSampler as QS
testNo = 3
verb = 0
homog = True
homog = False
if testNo == 1:
k0s = np.power([10 + 0.j, 14 + 0.j], .5)
k0 = np.mean(k0s)
ktar = (11 + .5j) ** .5
rescaling = lambda x: np.power(x, 2.)
rescalingInv = lambda x: np.power(x, .5)
params = {'S':5, 'R':4, 'POD':True,
'sampler':QS(k0s, "CHEBYSHEV", rescaling, rescalingInv)}
solver = HSBPE(kappa = 12 ** .5, theta = np.pi / 3, n = 40,
verbosity = verb)
solver.omega = np.real(k0)
approx = RB(solver, mu0 = k0, approxParameters = params,
verbosity = verb)
approx.setupApprox()
# approx.plotSamples()
approx.plotApp(ktar, name = 'u_RB')
approx.plotHF(ktar, name = 'u_HF')
approx.plotErr(ktar, name = 'err')
approx.plotRes(ktar, name = 'res')
appErr, solNorm = approx.normErr(ktar), approx.normHF(ktar)
resNorm, RHSNorm = approx.normRes(ktar), approx.normRHS(ktar)
print(('SolNorm:\t{}\nErr:\t{}\nErrRel:\t{}').format(solNorm, appErr,
np.divide(appErr, solNorm)))
print(('RHSNorm:\t{}\nRes:\t{}\nResRel:\t{}').format(RHSNorm, resNorm,
np.divide(resNorm, RHSNorm)))
############
elif testNo == 2:
k0s = [3.85 + 0.j, 4.15 + 0.j]
k0 = np.mean(k0s)
ktar = 4 + .15j
rescaling = lambda x: np.power(x, 2.)
rescalingInv = lambda x: np.power(x, .5)
params = {'S':10, 'R':9, 'POD':True,
'sampler':QS(k0s, "CHEBYSHEV", rescaling, rescalingInv)}
solver = HSTPE(nT = 2, nB = 1, theta = np.pi * 45/180, kappa = 4., n = 50,
verbosity = verb)
solver.omega = np.real(k0)
approx = RB(solver, mu0 = k0, approxParameters = params,
verbosity = verb, homogeneized = homog)
approx.setupApprox()
# approx.plotSamples()
approx.plotApp(ktar, name = 'u_RB')
approx.plotHF(ktar, name = 'u_HF')
approx.plotErr(ktar, name = 'err')
approx.plotRes(ktar, name = 'res')
appErr, solNorm = approx.normErr(ktar), approx.normHF(ktar)
resNorm, RHSNorm = approx.normRes(ktar), approx.normRHS(ktar)
print(('SolNorm:\t{}\nErr:\t{}\nErrRel:\t{}').format(solNorm, appErr,
np.divide(appErr, solNorm)))
print(('RHSNorm:\t{}\nRes:\t{}\nResRel:\t{}').format(RHSNorm, resNorm,
np.divide(resNorm, RHSNorm)))
############
elif testNo == 3:
k0s = [2, 5]
k0 = np.mean(k0s)
ktar = 4.5 - 0.j
params = {'S':15, 'R':10, 'POD':True, 'sampler':QS(k0s, "CHEBYSHEV")}
solver = HBSPE(R = 7, kappa = 3, theta = - np.pi * 75 / 180, n = 40,
verbosity = verb)
solver.omega = np.real(k0)
approx = RB(solver, mu0 = k0, approxParameters = params,
verbosity = verb, homogeneized = homog)
approx.setupApprox()
# approx.plotSamples()
approx.plotApp(ktar, name = 'u_RB')
approx.plotHF(ktar, name = 'u_HF')
approx.plotErr(ktar, name = 'err')
approx.plotRes(ktar, name = 'res')
appErr, solNorm = approx.normErr(ktar), approx.normHF(ktar)
resNorm, RHSNorm = approx.normRes(ktar), approx.normRHS(ktar)
print(('SolNorm:\t{}\nErr:\t{}\nErrRel:\t{}').format(solNorm, appErr,
np.divide(appErr, solNorm)))
print(('RHSNorm:\t{}\nRes:\t{}\nResRel:\t{}').format(RHSNorm, resNorm,
np.divide(resNorm, RHSNorm)))
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