def get_traction_to_slip(m, cfg, H):
t = cfg['Timer']()
csS = tct.continuity_constraints(m.pts, m.tris, m.get_start('fault'))
csF = tct.continuity_constraints(m.pts, m.get_tris('fault'),
m.get_end('fault'))
cs = tct.build_composite_constraints((csS, 0), (csF, m.n_dofs('surf')))
cs.extend(tct.free_edge_constraints(m.tris))
cm, c_rhs, _ = tct.build_constraint_matrix(cs, m.n_dofs())
cm = cm.tocsr()
cmT = cm.T.tocsr()
t.report('t2s -- build constraints')
traction_mass_op = tct.MassOp(cfg['tectosaur_cfg']['quad_mass_order'],
m.pts, m.tris)
np.testing.assert_almost_equal(c_rhs, 0.0)
t.report('t2s -- build massop')
def prec(x):
return x
def f(traction):
rhs = -traction_mass_op.dot(traction / cfg['sm'])
out = iterative_solve(H, cm, rhs, prec, dict(solver_tol=1e-4))
return out
f.H = H
f.cm = cm
f.traction_mass_op = traction_mass_op
return f
def get_traction_to_slip(m, cfg, H):
t = cfg['Timer']()
csS = tct.continuity_constraints(m.pts, m.tris, m.get_start('fault'))
csF = tct.continuity_constraints(m.pts, m.get_tris('fault'), m.get_end('fault'))
cs = tct.build_composite_constraints((csS, 0), (csF, m.n_dofs('surf')))
cs.extend(tct.free_edge_constraints(m.tris))
cm, c_rhs, _ = tct.build_constraint_matrix(cs, m.n_dofs())
cm = cm.tocsr()
cmT = cm.T.tocsr()
t.report('t2s -- build constraints')
traction_mass_op = tct.MassOp(cfg['tectosaur_cfg']['quad_mass_order'], m.pts, m.tris)
np.testing.assert_almost_equal(c_rhs, 0.0)
t.report('t2s -- build massop')
# nearfield_H = H.nearfield.full_scipy_mat_no_correction()
# diag_H = nearfield_H.diagonal()
# def prec(x):
# return cm.T.dot(cm.dot(x) / diag_H)
# nearfield_H = H.nearfield.full_scipy_mat_no_correction()
# constrained_nearfield_H = cmT.dot(nearfield_H.dot(cm))
# t.report('t2s -- constrained nearfield')
# spilu = scipy.sparse.linalg.spilu(constrained_nearfield_H)
# t.report('t2s -- spilu')
# def prec(x):
# return spilu.solve(x)
# U = build_elastic_op(m, cfg, 'U')
# nearfield_U = U.nearfield.full_scipy_mat_no_correction()
# diag_U = nearfield_U.diagonal()
# def prec(x):
# return cmT.dot(U.dot(cm.dot(x)))
def prec(x):
return x
def f(traction):
rhs = -traction_mass_op.dot(traction / cfg['sm'])
out = tectosaur_topo.solve.iterative_solve(
H, cm, rhs, prec, dict(solver_tol = 1e-4)
)
return out
f.H = H
f.cm = cm
f.traction_mass_op = traction_mass_op
return f
def get_slip_to_disp_one_jacobi_step(m, cfg, H):
base_cs = tct.continuity_constraints(m.pts, m.tris, m.get_start('fault'))
base_cs.extend(tct.free_edge_constraints(m.tris))
cs = base_cs + tct.all_bc_constraints(
m.n_tris('surf'), m.n_tris(), np.zeros(m.n_dofs('fault'))
)
cm, _, rhs_mat = tct.build_constraint_matrix(cs, m.n_dofs())
near = H.nearfield.full_scipy_mat_no_correction()
diag = cm.T.dot(near.dot(cm)).diagonal()
def f(disp, slip, old_slip):
t = cfg['Timer']()
c_rhs = rhs_mat.dot(np.concatenate((np.zeros(len(base_cs)), slip)))
c_rhs_old = rhs_mat.dot(np.concatenate((np.zeros(len(base_cs)), old_slip)))
t.report('constraints')
start_val = np.concatenate((disp, slip))
delta = cm.dot(
(1.0 / diag) * (cm.T.dot(H.dot(start_val)))
)
out = start_val - delta - c_rhs_old + c_rhs
t.report('jacobi step')
return m.get_dofs(out, 'surf')
return f
def get_disp_slip_to_traction(m, cfg, H):
csTS = tct.continuity_constraints(m.pts, m.get_tris('surf'), int(1e9))
# csTS = tct.all_bc_constraints(0, m.n_tris('surf'), np.zeros(m.n_dofs('surf')))
csTF = tct.continuity_constraints(m.pts, m.get_tris('fault'), int(1e9))
csT = tct.build_composite_constraints((csTS, 0), (csTF, m.n_dofs('surf')))
csT.extend(tct.free_edge_constraints(m.tris))
cmT, c_rhsT, _ = tct.build_constraint_matrix(csT, m.n_dofs())
np.testing.assert_almost_equal(c_rhsT, 0.0)
cmU = cmT
traction_mass_op = tct.MassOp(cfg['tectosaur_cfg']['quad_mass_order'],
m.pts, m.tris)
constrained_traction_mass_op = cmU.T.dot(traction_mass_op.mat.dot(cmT))
def f(disp_slip):
t = cfg['Timer']()
def callback(x):
callback.iter += 1
print(callback.iter)
callback.iter = 0
rhs = -cmU.T.dot(H.dot(disp_slip.flatten()))
t.report('rhs')
soln = cg(constrained_traction_mass_op, rhs)
#soln = lsmr(constrained_traction_mass_op, rhs)#, callback = callback)
t.report('lsmr')
out = cfg['sm'] * (cmT.dot(soln[0]) + c_rhsT)
t.report('out')
return out
return f
def get_slip_to_disp(m, cfg, H):
base_cs = tct.continuity_constraints(m.pts, m.tris, m.get_start('fault'))
base_cs.extend(tct.free_edge_constraints(m.tris))
def f(slip):
cs = base_cs + tct.all_bc_constraints(
m.n_tris('surf'), m.n_tris(), slip
)
cm, c_rhs, _ = tct.build_constraint_matrix(cs, m.n_dofs())
rhs = -H.dot(c_rhs)
out = tectosaur_topo.solve.iterative_solve(
H, cm, rhs, lambda x: x, dict(solver_tol = 1e-4)
)
return out + c_rhs
return f
def get_slip_to_disp(m, cfg, T):
base_cs = tct.continuity_constraints(m.pts, m.tris, m.get_start('fault'))
# base_cs.extend(tct.free_edge_constraints(m.tris))
mass_op = tct.MultOp(tct.MassOp(3, m.pts, m.tris), 0.5)
iop = tct.SumOp([T, mass_op])
def f(slip):
cs = base_cs + tct.all_bc_constraints(m.n_tris('surf'), m.n_tris(),
slip)
cm, c_rhs, _ = tct.build_constraint_matrix(cs, m.n_dofs())
rhs = -iop.dot(c_rhs)
out = iterative_solve(iop, cm, rhs, lambda x: x, dict(solver_tol=1e-6))
return out + c_rhs
return f
def get_disp_slip_to_traction(m, cfg, H):
csS = tct.all_bc_constraints(0, m.n_tris('surf'), np.zeros(m.n_dofs('surf')))
csS.extend(tct.free_edge_constraints(m.get_tris('surf')))
csF = tct.continuity_constraints(m.pts, m.get_tris('fault'), m.get_end('fault'))
csF.extend(tct.free_edge_constraints(m.get_tris('fault')))
cs = tct.build_composite_constraints((csS, 0), (csF, m.n_dofs('surf')))
cm, c_rhs, _ = tct.build_constraint_matrix(cs, m.n_dofs())
traction_mass_op = tct.MassOp(cfg['tectosaur_cfg']['quad_mass_order'], m.pts, m.tris)
constrained_traction_mass_op = cm.T.dot(traction_mass_op.mat.dot(cm))
def f(disp_slip):
np.testing.assert_almost_equal(c_rhs, 0.0)
def callback(x):
callback.iter += 1
print(callback.iter)
callback.iter = 0
rhs = -H.dot(disp_slip)
constrained_rhs = cm.T.dot(rhs)
soln = cg(constrained_traction_mass_op, constrained_rhs)#, callback = callback)
out = cfg['sm'] * cm.dot(soln[0])
return out
return f
def build_continuity(m, cfg):
cs = tct.continuity_constraints(m.pts, m.tris, m.tris.shape[0])
cs.extend(free_edge_constraints(m.get_tris('fault')))
cm, c_rhs, _ = build_constraint_matrix(cs, m.n_dofs('fault'))
return cm
#
# pt_slip = np.zeros((src_mesh[0].shape[0]))
# pt_slip[src_mesh[1]] = slip[:,:,0]
# levels = np.linspace(0, 1, 11)
# my_cmap = 'OrRd'
# plt.figure(figsize = (8,3.3))
# cntf = plt.tricontourf(src_mesh[0][:,0], src_mesh[0][:,2], src_mesh[1], pt_slip, levels = levels, cmap = my_cmap)
# plt.tricontour(src_mesh[0][:,0], src_mesh[0][:,2], src_mesh[1], pt_slip, levels = levels, linestyles='solid', colors='k', linewidths=0.5)
# plt.colorbar(cntf)
# plt.show()
# xs = np.linspace(-3, 3, 50)
# X, Y = np.meshgrid(xs, xs)
# Z = np.ones_like(X) * sep
# obs_pts = np.array([e.flatten() for e in [X, Y, Z]]).T.copy()
cs = tct.continuity_constraints(src_mesh[0], src_mesh[1], src_mesh[1].shape[0])
cs.extend(tct.free_edge_constraints(src_mesh[1]))
cm, c_rhs, _ = tct.build_constraint_matrix(cs, src_mesh[1].shape[0] * 9)
H = tct.RegularizedSparseIntegralOp(
6,
6,
6,
2,
5,
2.5,
'elasticRH3',
'elasticRH3', [1.0, 0.25],
src_mesh[0],
src_mesh[1],
np.float32,
farfield_op_type=tct.TriToTriDirectFarfieldOp)