Homec4science
Diffusion RationalROMPy (develop) Browse

RROMPy/examples/fenics/PadeTaylor.py
c11471199317develop

Last Change
Raw File

PadeTaylor.py
View Options

import numpy as np
from rrompy.hfengines.fenics import HelmholtzSquareBubbleProblemEngine as HSBPE
from rrompy.hfengines.fenics import HelmholtzSquareTransmissionProblemEngine as HSTPE
from rrompy.hfengines.fenics import HelmholtzBoxScatteringProblemEngine as HBSPE
from rrompy.hsengines.fenics import HSEngine as HS
from rrompy.reduction_methods.taylor import ApproximantTaylorPade as Pade
testNo = 4
if testNo == 1:
params = {'N':4, 'M':3, 'E':4, 'sampleType':'Arnoldi', 'POD':True}
z0 = 12
ztar = 10.5
solver = HSBPE(kappa = 12 ** .5, theta = np.pi / 3, n = 40)
solver.omega = np.real(z0 ** .5)
plotter = HS(solver.V)
approx = Pade(solver, plotter, mu0 = z0, 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{}\nErr:\t{}\nErrRel:\t{}').format(solNorm, appErr,
np.divide(appErr, solNorm)))
print('\nPoles Pade'':')
print(approx.getPoles())
############
elif testNo == 2:
params = {'N':7, 'M':6, 'E':7, 'sampleType':'Arnoldi', 'POD':True}
z0 = 16
ztar = 14
solver = HSTPE(nT = 2, nB = 1, theta = np.pi * 45/180, kappa = 4., n = 50)
solver.omega = np.real(z0 ** .5)
plotter = HS(solver.V)
approx = Pade(solver, plotter, mu0 = z0, approxParameters = params,
plotDer = '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{}\nErr:\t{}\nErrRel:\t{}').format(solNorm, appErr,
np.divide(appErr, solNorm)))
print('\nPoles Pade'':')
print(approx.getPoles())
############
elif testNo in [3, 4]:
if testNo == 3:
params = {'N':8, 'M':7, 'E':8, 'sampleType':'Krylov', 'POD':True}
else:
params = {'N':8, 'M':7, 'E':8, 'sampleType':'Arnoldi', 'POD':True}
k0 = 3
ktar = 4.25+.5j
solver = HBSPE(R = 5, kappa = 3, theta = - np.pi * 75 / 180, n = 30)
solver.omega = np.real(k0)
plotter = HS(solver.V)
approx = Pade(solver, plotter, mu0 = k0, approxParameters = params, plotDer = 'ALL')
approx.plotApp(ktar, name = 'u_Pade''')
approx.plotHF(ktar, name = 'u_HF')
approx.plotErr(ktar, name = 'err')
appErr, solNorm = approx.approxError(ktar), approx.HFNorm(ktar)
print(('SolNorm:\t{}\nErr:\t{}\nErrRel:\t{}').format(solNorm, appErr,
np.divide(appErr, solNorm)))
print('\nPoles Pade'':')
print(approx.getPoles())
c4science · Help