Homec4science
Diffusion RationalROMPy (master) Browse

RROMPy/examples/fenics/HelmholtzRBLagrangeApproximant.py
6513a8e1212amaster

Last Change
Raw File

HelmholtzRBLagrangeApproximant.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.lagrange import ApproximantLagrangeRB as RB
from rrompy.sampling import QuadratureSampler as QS
testNo = 3
if testNo == 1:
z0s = [10 + 0.j, 14 + 0.j]
z0 = np.mean(z0s)
ztar = 11 + .5j
params = {'S':5, 'R':4, 'POD':True, 'sampler':QS(z0s, "CHEBYSHEV")}
solver = HSBPE(kappa = 12 ** .5, theta = np.pi / 3, n = 40)
plotter = HS(solver.V)
approx = RB(solver, plotter, mu0 = z0, approxParameters = params)#,
# plotSnap = 'ALL')
approx.plotApp(ztar, name = 'u_RB')
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 RB:')
print(approx.getPoles())
############
elif testNo == 2:
z0s = np.power([3.85 + 0.j, 4.15 + 0.j], 2.)
z0 = np.mean(z0s)
ztar = (4 + .15j) ** 2.
params = {'S':10, 'R':9, 'POD':True, 'sampler':QS(z0s, "CHEBYSHEV")}
solver = HSTPE(nT = 2, nB = 1, theta = np.pi * 45/180, kappa = 4., n = 50)
plotter = HS(solver.V)
approx = RB(solver, plotter, mu0 = z0, approxParameters = params,
plotSnap = 'ALL')
approx.plotApp(ztar, name = 'u_RB')
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 RB:')
print(approx.getPoles())
############
elif testNo == 3:
k0s = [2, 5]
k0 = np.mean(k0s)
ktar = 4.5 - .2j
params = {'S':15, 'R':10, 'POD':True, 'sampler':QS(k0s, "CHEBYSHEV")}
solver = HBSPE(R = 7, kappa = 3, theta = - np.pi * 75 / 180, n = 40)
plotter = HS(solver.V)
approx = RB(solver, plotter, mu0 = k0, 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{}\nErr:\t{}\nErrRel:\t{}').format(solNorm, appErr,
np.divide(appErr, solNorm)))
print('\nPoles RB:')
print(approx.getPoles())
c4science · Help