def constrUpdateMatrices(self):
self.__calcGridStep() # calculate grid step
k = self.__class__.k
_lambda2 = (self.gamma * k / self.h)**2
mu2 = (self.kappa * k / self.h**2)**2
zeta = 2. * self.b2 * k / self.h**2
den = 1. + self.b1 * k
N = self.N
Dxx = second_difference_matrix(N, self.boundaryCond)
self.Nm = Dxx.shape[0]
I = identity(self.Nm)
if 'Free' not in self.boundaryCond:
self.B = (2. * I + (_lambda2 + zeta) * Dxx - mu2 *
fourth_difference_matrix(N, self.boundaryCond)) / den
self.C = -((1. - self.b1 * k) * I + zeta * Dxx) / den
else:
Dxxxx = fourth_difference_matrix(
N, self.boundaryCond, {
'a0': 1. + _lambda2 + zeta,
'a1': -(2 + _lambda2 + zeta),
'a2': -zeta
})
self.B = (2. * I + (_lambda2 + zeta) * Dxx - mu2 * Dxxxx[0]) / den
self.C = -(
(1. - self.b1 * k) * I + zeta * Dxx - mu2 * Dxxxx[1]) / den
def constrCouplingMatrices(self):
k = self.__class__.k; h = self.h; N = self.N; a = 2.*self.b2*k/(h**2)
_lambda2 = (self.gamma*k/self.h)**2; zeta = 2.*self.b2*k/self.h**2; mu2 = (self.kappa*k/(h**2))**2
Dxx = second_difference_matrix(N,self.boundaryCond)
if 'Free' not in self.boundaryCond:
self.C1 = (_lambda2 + zeta)*Dxx - mu2*fourth_difference_matrix(N,self.boundaryCond)
self.C2 = -zeta*Dxx
else:
Dxxxx = fourth_difference_matrix(N,self.boundaryCond,{'a0':1. + _lambda2 + zeta,'a1':-2. - _lambda2 - zeta,'a2':-zeta})
self.C1 = (_lambda2 + zeta)*Dxx - mu2*Dxxxx[0]
self.C2 = -zeta*Dxx - mu2*Dxxxx[1]
def constrUpdateMatrices(self):
self.__calcGridStep() # calculate grid step
k = self.__class__.k; _lambda2 = (self.gamma*k/self.h)**2; mu2 = (self.kappa*k/self.h**2)**2
zeta = 2.*self.b2*k/self.h**2; den = 1. + self.b1*k; N = self.N
Dxx = second_difference_matrix(N,self.boundaryCond)
self.Nm = Dxx.shape[0]
I = identity(self.Nm)
if 'Free' not in self.boundaryCond:
self.B = (2.*I + (_lambda2 + zeta)*Dxx - mu2*fourth_difference_matrix(N,self.boundaryCond))/den
self.C = -((1. - self.b1*k)*I + zeta*Dxx)/den
else:
Dxxxx = fourth_difference_matrix(N,self.boundaryCond,{'a0':1. + _lambda2 + zeta,'a1':-(2 + _lambda2 + zeta),'a2':-zeta})
self.B = (2.*I + (_lambda2 + zeta)*Dxx - mu2*Dxxxx[0])/den
self.C = -((1. - self.b1*k)*I + zeta*Dxx - mu2*Dxxxx[1])/den
def constrCouplingMatrices(self):
k = self.__class__.k
h = self.h
N = self.N
a = 2. * self.b2 * k / (h**2)
_lambda2 = (self.gamma * k / self.h)**2
zeta = 2. * self.b2 * k / self.h**2
mu2 = (self.kappa * k / (h**2))**2
Dxx = second_difference_matrix(N, self.boundaryCond)
if 'Free' not in self.boundaryCond:
self.C1 = (_lambda2 + zeta) * Dxx - mu2 * fourth_difference_matrix(
N, self.boundaryCond)
self.C2 = -zeta * Dxx
else:
Dxxxx = fourth_difference_matrix(
N, self.boundaryCond, {
'a0': 1. + _lambda2 + zeta,
'a1': -2. - _lambda2 - zeta,
'a2': -zeta
})
self.C1 = (_lambda2 + zeta) * Dxx - mu2 * Dxxxx[0]
self.C2 = -zeta * Dxx - mu2 * Dxxxx[1]
