Ejemplo n.º 1
0
shape = mtf.shape

A = 2.0 * At
A2 = A * iJ * A

Ce = 0.5 * J - At
Ci = 0.5 * J + At

Ce2 = Ce * iJ * Ce
Ci2 = Ci * iJ * Ci

x = np.random.rand(shape[0]) + 1j * np.random.rand(shape[0])
xr = np.random.rand(shape[0])

checker('A2 = J', A2, J, x)
checker('exterior Proj.', Ce2, Ce, x)
checker('interior Proj.', Ci2, Ci, x)
checker('error-Calderon with random [no-sense]', A, J, x)

#################################################
#################################################

def dir_data(x, normal, dom_ind, result):
    result[0] =  -np.exp( 1j * kRef * x[1])

def neu_data(x, normal, dom_ind, result):
    result[0] = -1j * normal[1] * kRef * np.exp( 1j * kRef * x[1])

#################################################
#################################################
Ejemplo n.º 2
0
shape = mtf.shape

A = 2.0 * At
A2 = A * iJ * A

Ce = 0.5 * J - At
Ci = 0.5 * J + At

Ce2 = Ce * iJ * Ce
Ci2 = Ci * iJ * Ci

x = np.random.rand(shape[0]) + 1j * np.random.rand(shape[0])
xr = np.random.rand(shape[0])

checker('A2 = J', A2, J, x)
checker('exterior Proj.', Ce2, Ce, x)
checker('interior Proj.', Ci2, Ci, x)
checker('error-Calderon with random [no-sense]', A, J, x)


def dir_data(x, normal, dom_ind, result):
    result[0] = -np.exp(1j * kRef * x[1])


def neu_data(x, normal, dom_ind, result):
    result[0] = -1j * normal[1] * kRef * np.exp(1j * kRef * x[1])


b = mtf.rhs(dir_data, neu_data)
M = A - X
Ejemplo n.º 3
0
    Ce = 0.5 * J - At
    Ci = 0.5 * J + At

    Ce2 = Ce * iJ * Ce
    Ci2 = Ci * iJ * Ci

    x = np.random.rand(shape[0]) + 1j * np.random.rand(shape[0])

    b = mtf.rhs(dir_data, neu_data)
    M = A - X

    print('')
    print(nlambda, mtf.shape, flush=True)
    print('')

    checker('A2 = J', A2, J, x)
    checker('exterior Proj.', Ce2, Ce, x)
    checker('interior Proj.', Ci2, Ci, x)
    checker('error-Calderon with random [no-sense]', A, J, x)

    print('')
    print('MTF classic', M.shape)
    print('')

    xx, niter, res, tt = my_gmres("\nGmres restart={0} maxiter={1}",
                                   M, b, tol, restart, maxiter)

    ecald = checker('Calderon ', A, J, xx)
    etrans = checker('Transmission ', J, X, xx, b)

    Ecald.append(ecald)
Ejemplo n.º 4
0
shape = mtf.shape

A = 2.0 * At
A2 = A * iJ * A

Ce = 0.5 * J - At
Ci = 0.5 * J + At

Ce2 = Ce * iJ * Ce
Ci2 = Ci * iJ * Ci

x = np.random.rand(shape[0]) + 1j * np.random.rand(shape[0])
xr = np.random.rand(shape[0])

checker("A2 = J", A2, J, x)
checker("exterior Proj.", Ce2, Ce, x)
checker("interior Proj.", Ci2, Ci, x)
checker("error-Calderon with random [no-sense]", A, J, x)


def dir_data(x, normal, dom_ind, result):
    result[0] = -np.exp(1j * kRef * x[1])


def neu_data(x, normal, dom_ind, result):
    result[0] = -1j * normal[1] * kRef * np.exp(1j * kRef * x[1])


b = mtf.rhs(dir_data, neu_data)
M = A - X
Ejemplo n.º 5
0
    Ce = 0.5 * J - At
    Ci = 0.5 * J + At

    Ce2 = Ce * iJ * Ce
    Ci2 = Ci * iJ * Ci

    x = np.random.rand(shape[0]) + 1j * np.random.rand(shape[0])

    b = mtf.rhs(dir_data, neu_data)
    M = A - X

    print('')
    print(nlambda, mtf.shape, flush=True)
    print('')

    checker('A2 = J', A2, J, x)
    checker('exterior Proj.', Ce2, Ce, x)
    checker('interior Proj.', Ci2, Ci, x)
    checker('error-Calderon with random [no-sense]', A, J, x)

    print('')
    print('MTF classic', M.shape)
    print('')

    xx, niter, res, tt = my_gmres("\nGmres restart={0} maxiter={1}", M, b, tol,
                                  restart, maxiter)

    ecald = checker('Calderon ', A, J, xx)
    etrans = checker('Transmission ', J, X, xx, b)

    Ecald.append(ecald)
Ejemplo n.º 6
0
A2 = A * iJ * A

print('')
print(mtf.shape, flush=True)
print('')

Ce = 0.5 * J - At
Ci = 0.5 * J + At

Ce2 = Ce * iJ * Ce
Ci2 = Ci * iJ * Ci

x = np.random.rand(shape[0]) + 1j * np.random.rand(shape[0])
xr = np.random.rand(shape[0])

checker('A2 = J', A2, J, x)
checker('exterior Proj.', Ce2, Ce, x)
checker('interior Proj.', Ci2, Ci, x)
checker('error-Calderon with random [no-sense]', A, J, x)

#################################################
#################################################


def dir_data(x, normal, dom_ind, result):
    result[0] = -np.exp(1j * kRef * x[0])


def neu_data(x, normal, dom_ind, result):
    result[0] = -1j * normal[0] * kRef * np.exp(1j * kRef * x[0])
Ejemplo n.º 7
0
shape = mtf.shape

A = 2.0 * At
A2 = A * iJ * A

Ce = 0.5 * J - At
Ci = 0.5 * J + At

Ce2 = Ce * iJ * Ce
Ci2 = Ci * iJ * Ci

x = np.random.rand(shape[0]) + 1j * np.random.rand(shape[0])
xr = np.random.rand(shape[0])

checker('A2 = J', A2, J, x)
checker('exterior Proj.', Ce2, Ce, x)
checker('interior Proj.', Ci2, Ci, x)
checker('error-Calderon with random [no-sense]', A, J, x)

def dir_data(x, normal, dom_ind, result):
    result[0] =  -np.exp( 1j * kRef * x[1])

def neu_data(x, normal, dom_ind, result):
    result[0] = -1j * normal[1] * kRef * np.exp( 1j * kRef * x[1])

b = mtf.rhs(dir_data, neu_data)
M = A - X

print('')
print(mtf.shape, flush=True)
Ejemplo n.º 8
0
res = []
tt = time()
xx, info = gmres(M,
                 b,
                 orthog='mgs',
                 tol=tol,
                 residuals=res,
                 restrt=restart,
                 maxiter=maxiter)
tt = time() - tt
print(info, len(res))
oResWO = np.array(res)
ResWO = rescaleRes(oResWO, lambda x: x, b)
print('#time: {}'.format(tt))

checker('Calderon WO', A, J, xx)

#################################################

print('\nMass restart={0} maxiter={1}'.format(restart, maxiter), flush=True)
del res
res = []
tt = time()
xx, info = gmres(M,
                 b,
                 M=iJ,
                 orthog='mgs',
                 tol=tol,
                 residuals=res,
                 restrt=restart,
                 maxiter=maxiter)
Ejemplo n.º 9
0
print('')
print(mtf.shape, flush=True)
print('')


Ce = 0.5 * J - At
Ci = 0.5 * J + At

Ce2 = Ce * iJ * Ce
Ci2 = Ci * iJ * Ci

x = np.random.rand(shape[0]) + 1j * np.random.rand(shape[0])
xr = np.random.rand(shape[0])

checker('A2 = J', A2, J, x)
checker('exterior Proj.', Ce2, Ce, x)
checker('interior Proj.', Ci2, Ci, x)
checker('error-Calderon with random [no-sense]', A, J, x)

#################################################
#################################################

def dir_data(x, normal, dom_ind, result):
    result[0] =  -np.exp( 1j * kRef * x[0])

def neu_data(x, normal, dom_ind, result):
    result[0] = -1j * normal[0] * kRef * np.exp( 1j * kRef * x[0])

#################################################
#################################################
Ejemplo n.º 10
0
del res
res = []
tt = time()
xx, info = gmres(M, b,
                 orthog='mgs',
                 tol=tol,
                 residuals=res,
                 restrt=restart,
                 maxiter=maxiter)
tt = time() - tt
print(info, len(res))
oResWO = np.array(res)
ResWO = rescaleRes(oResWO, lambda x: x, b)
print('#time: {}'.format(tt))

checker('Calderon WO', A, J, xx)

#################################################

print('\nMass restart={0} maxiter={1}'.format(restart, maxiter), flush=True)
del res
res = []
tt = time()
xx, info = gmres(M, b,
                 M = iJ,
                 orthog='mgs',
                 tol=tol,
                 residuals=res,
                 restrt=restart,
                 maxiter=maxiter)
tt = time() - tt
Ejemplo n.º 11
0
del res
res = []
tt = time()
xx, info = gmres(M, b,
                 orthog='mgs',
                 tol=tol,
                 residuals=res,
                 restrt=restart,
                 maxiter=maxiter)
tt = time() - tt
print(info, len(res))
oResWO = np.array(res)
ResWO = rescaleRes(oResWO, lambda x: x, b)
print('#time: {}'.format(tt))

checker('Calderon WO', A, J, xx)

#################################################

print('\nJac restart={0} maxiter={1}'.format(restart, maxiter), flush=True)
del res
res = []
tt = time()
xx, info = gmres(M, b,
                 M = Pjac,
                 orthog='mgs',
                 tol=tol,
                 residuals=res,
                 restrt=restart,
                 maxiter=maxiter)
tt = time() - tt