def __init__(self, regul, param, isprint=False):
"""
Arguments:
regul = regularization for inversion parameters
param = inversion parameters (either 'a' or 'b')
isprint = boolean
"""
self.param = param
if self.param == 'a':
self.regul1 = regul
self.regul2 = ZeroRegularization(regul.Vm)
elif self.param == 'b':
self.regul1 = ZeroRegularization(regul.Vm)
self.regul2 = regul
else:
if isprint:
print "[SingleRegularization] *** Error: argument 'param' must be 'a' or 'b'"
sys.exit(1)
self.isprint = isprint
Vm = regul.Vm
self.VmVm = createMixedFS(Vm, Vm)
self.ab = Function(self.VmVm)
bd = BlockDiagonal(Vm, Vm, Vm.mesh().mpi_comm())
self.saa = bd.saa
if isprint:
print '[SingleRegularization] inversion parameter {}'.format(
self.param)
if self.isPD():
print '[SingleRegularization] Using primal-dual TV'
def __init__(self, mpicomm_global, acousticwavePDE, sources, \
sourcesindex, timestepsindex, \
invparam='ab', regularization=None):
"""
Input:
acousticwavePDE should be an instantiation from class AcousticWave
"""
self.mpicomm_global = mpicomm_global
self.PDE = acousticwavePDE
self.PDE.exact = None
self.obsop = None # Observation operator
self.dd = None # observations
self.fwdsource = sources
self.srcindex = sourcesindex
self.tsteps = timestepsindex
self.PDEcount = 0
self.inverta = False
self.invertb = False
if 'a' in invparam:
self.inverta = True
if 'b' in invparam:
self.invertb = True
assert self.inverta + self.invertb > 0
Vm = self.PDE.Vm
V = self.PDE.V
VmVm = createMixedFS(Vm, Vm)
self.ab = Function(VmVm) # used for conversion (Vm,Vm)->VmVm
self.invparam = invparam
self.MG = Function(VmVm)
self.MGv = self.MG.vector()
self.Grad = Function(VmVm)
self.srchdir = Function(VmVm)
self.delta_m = Function(VmVm)
self.m_bkup = Function(VmVm)
LinearOperator.__init__(self, self.MGv, self.MGv)
self.GN = False
if regularization == None:
print '[ObjectiveAcoustic] *** Warning: Using zero regularization'
self.regularization = ZeroRegularization(Vm)
else:
self.regularization = regularization
self.PD = self.regularization.isPD()
self.alpha_reg = 1.0
self.p, self.q = Function(V), Function(V)
self.phat, self.qhat = Function(V), Function(V)
self.ahat, self.bhat = Function(Vm), Function(Vm)
self.ptrial, self.ptest = TrialFunction(V), TestFunction(V)
self.mtest, self.mtrial = TestFunction(Vm), TrialFunction(Vm)
if self.PDE.parameters['lumpM']:
self.Mprime = LumpedMassMatrixPrime(Vm, V, self.PDE.M.ratio)
self.get_gradienta = self.get_gradienta_lumped
self.get_hessiana = self.get_hessiana_lumped
self.get_incra = self.get_incra_lumped
else:
self.wkformgrada = inner(self.mtest*self.p, self.q)*dx
self.get_gradienta = self.get_gradienta_full
self.wkformhessa = inner(self.phat*self.mtest, self.q)*dx \
+ inner(self.p*self.mtest, self.qhat)*dx
self.wkformhessaGN = inner(self.p*self.mtest, self.qhat)*dx
self.get_hessiana = self.get_hessiana_full
self.wkformrhsincra = inner(self.ahat*self.ptrial, self.ptest)*dx
self.get_incra = self.get_incra_full
self.wkformgradb = inner(self.mtest*nabla_grad(self.p), nabla_grad(self.q))*dx
self.wkformgradbout = assemble(self.wkformgradb)
self.wkformrhsincrb = inner(self.bhat*nabla_grad(self.ptrial), nabla_grad(self.ptest))*dx
self.wkformhessb = inner(nabla_grad(self.phat)*self.mtest, nabla_grad(self.q))*dx \
+ inner(nabla_grad(self.p)*self.mtest, nabla_grad(self.qhat))*dx
self.wkformhessbGN = inner(nabla_grad(self.p)*self.mtest, nabla_grad(self.qhat))*dx
# Mass matrix:
self.mmtest, self.mmtrial = TestFunction(VmVm), TrialFunction(VmVm)
weak_m = inner(self.mmtrial, self.mmtest)*dx
self.Mass = assemble(weak_m)
self.solverM = PETScKrylovSolver("cg", "jacobi")
self.solverM.parameters["maximum_iterations"] = 2000
self.solverM.parameters["absolute_tolerance"] = 1e-24
self.solverM.parameters["relative_tolerance"] = 1e-24
self.solverM.parameters["report"] = False
self.solverM.parameters["error_on_nonconvergence"] = True
self.solverM.parameters["nonzero_initial_guess"] = False # True?
self.solverM.set_operator(self.Mass)
# Time-integration factors
self.factors = np.ones(self.PDE.times.size)
self.factors[0], self.factors[-1] = 0.5, 0.5
self.factors *= self.PDE.Dt
self.invDt = 1./self.PDE.Dt
# Absorbing BCs
if self.PDE.parameters['abc']:
assert not self.PDE.parameters['lumpD']
self.wkformgradaABC = inner(
self.mtest*sqrt(self.PDE.b/self.PDE.a)*self.p,
self.q)*self.PDE.ds(1)
self.wkformgradbABC = inner(
self.mtest*sqrt(self.PDE.a/self.PDE.b)*self.p,
self.q)*self.PDE.ds(1)
self.wkformgradaABCout = assemble(self.wkformgradaABC)
self.wkformgradbABCout = assemble(self.wkformgradbABC)
self.wkformincrrhsABC = inner(
(self.ahat*sqrt(self.PDE.b/self.PDE.a)
+ self.bhat*sqrt(self.PDE.a/self.PDE.b))*self.ptrial,
self.ptest)*self.PDE.ds(1)
self.wkformhessaABC = inner(
(self.bhat/sqrt(self.PDE.a*self.PDE.b) -
self.ahat*sqrt(self.PDE.b/(self.PDE.a*self.PDE.a*self.PDE.a)))
*self.p*self.mtest, self.q)*self.PDE.ds(1)
self.wkformhessbABC = inner(
(self.ahat/sqrt(self.PDE.a*self.PDE.b) -
self.bhat*sqrt(self.PDE.a/(self.PDE.b*self.PDE.b*self.PDE.b)))
*self.p*self.mtest, self.q)*self.PDE.ds(1)