def __init__(self, spaces, ess_bdr, block_offsets, rel_tol, abs_tol, iter,
mu):
# Array<Vector *> -> tuple
super(RubberOperator,
self).__init__(spaces[0].TrueVSize() + spaces[1].TrueVSize())
rhs = (None, None)
self.spaces = spaces
self.mu = mfem.ConstantCoefficient(mu)
self.block_offsets = block_offsets
Hform = mfem.ParBlockNonlinearForm(spaces)
Hform.AddDomainIntegrator(
mfem.IncompressibleNeoHookeanIntegrator(self.mu))
Hform.SetEssentialBC(ess_bdr, rhs)
self.Hform = Hform
a = mfem.ParBilinearForm(self.spaces[1])
one = mfem.ConstantCoefficient(1.0)
mass = mfem.OperatorHandle(mfem.Operator.Hypre_ParCSR)
a.AddDomainIntegrator(mfem.MassIntegrator(one))
a.Assemble()
a.Finalize()
a.ParallelAssemble(mass)
mass.SetOperatorOwner(False)
pressure_mass = mass.Ptr()
self.j_prec = JacobianPreconditioner(spaces, pressure_mass,
block_offsets)
j_gmres = mfem.GMRESSolver(MPI.COMM_WORLD)
j_gmres.iterative_mode = False
j_gmres.SetRelTol(1e-12)
j_gmres.SetAbsTol(1e-12)
j_gmres.SetMaxIter(300)
j_gmres.SetPrintLevel(0)
j_gmres.SetPreconditioner(self.j_prec)
self.j_solver = j_gmres
newton_solver = mfem.NewtonSolver(MPI.COMM_WORLD)
# Set the newton solve parameters
newton_solver.iterative_mode = True
newton_solver.SetSolver(self.j_solver)
newton_solver.SetOperator(self)
newton_solver.SetPrintLevel(1)
newton_solver.SetRelTol(rel_tol)
newton_solver.SetAbsTol(abs_tol)
newton_solver.SetMaxIter(iter)
self.newton_solver = newton_solver
def __init__(self, fespace, alpha, kappa, u):
mfem.PyTimeDependentOperator.__init__(self, fespace.GetTrueVSize(),
0.0)
rel_tol = 1e-8
self.alpha = alpha
self.kappa = kappa
self.T = None
self.K = None
self.M = None
self.fespace = fespace
self.ess_tdof_list = intArray()
self.Mmat = mfem.HypreParMatrix()
self.Kmat = mfem.HypreParMatrix()
self.M_solver = mfem.CGSolver(fespace.GetComm())
self.M_prec = mfem.HypreSmoother()
self.T_solver = mfem.CGSolver(fespace.GetComm())
self.T_prec = mfem.HypreSmoother()
self.z = mfem.Vector(self.Height())
self.M = mfem.ParBilinearForm(fespace)
self.M.AddDomainIntegrator(mfem.MassIntegrator())
self.M.Assemble()
self.M.FormSystemMatrix(self.ess_tdof_list, self.Mmat)
self.M_solver.iterative_mode = False
self.M_solver.SetRelTol(rel_tol)
self.M_solver.SetAbsTol(0.0)
self.M_solver.SetMaxIter(100)
self.M_solver.SetPrintLevel(0)
self.M_prec.SetType(mfem.HypreSmoother.Jacobi)
self.M_solver.SetPreconditioner(self.M_prec)
self.M_solver.SetOperator(self.Mmat)
self.T_solver.iterative_mode = False
self.T_solver.SetRelTol(rel_tol)
self.T_solver.SetAbsTol(0.0)
self.T_solver.SetMaxIter(100)
self.T_solver.SetPrintLevel(0)
self.T_solver.SetPreconditioner(self.T_prec)
self.SetParameters(u)
# Inflow boundary condition (zero for the problems considered in this example)
class inflow_coeff(mfem.PyCoefficient):
def EvalValue(self, x):
return 0
# 8. Set up and assemble the bilinear and linear forms corresponding to the
# DG discretization. The DGTraceIntegrator involves integrals over mesh
# interior faces.
velocity = velocity_coeff(dim)
inflow = inflow_coeff()
u0 = u0_coeff()
m = mfem.ParBilinearForm(fes)
m.AddDomainIntegrator(mfem.MassIntegrator())
k = mfem.ParBilinearForm(fes)
k.AddDomainIntegrator(mfem.ConvectionIntegrator(velocity, -1.0))
k.AddInteriorFaceIntegrator(
mfem.TransposeIntegrator(mfem.DGTraceIntegrator(velocity, 1.0, -0.5)))
k.AddBdrFaceIntegrator(
mfem.TransposeIntegrator(mfem.DGTraceIntegrator(velocity, 1.0, -0.5)))
b = mfem.ParLinearForm(fes)
b.AddBdrFaceIntegrator(
mfem.BoundaryFlowIntegrator(inflow, velocity, -1.0, -0.5))
m.Assemble()
m.Finalize()
skip_zeros = 0
k.Assemble(skip_zeros)
B0 = mfem.ParMixedBilinearForm(x0_space, test_space) B0.AddDomainIntegrator(mfem.DiffusionIntegrator(one)) B0.Assemble() B0.EliminateEssentialBCFromTrialDofs(ess_dof, x0, F) B0.Finalize() Bhat = mfem.ParMixedBilinearForm(xhat_space, test_space) Bhat.AddTraceFaceIntegrator(mfem.TraceJumpIntegrator()) Bhat.Assemble() Bhat.Finalize() Sinv = mfem.ParBilinearForm(test_space) Sum = mfem.SumIntegrator() Sum.AddIntegrator(mfem.DiffusionIntegrator(one)) Sum.AddIntegrator(mfem.MassIntegrator(one)) Sinv.AddDomainIntegrator(mfem.InverseIntegrator(Sum)) Sinv.Assemble() Sinv.Finalize() S0 = mfem.ParBilinearForm(x0_space) S0.AddDomainIntegrator(mfem.DiffusionIntegrator(one)) S0.Assemble() S0.EliminateEssentialBC(ess_bdr) S0.Finalize() matB0 = B0.ParallelAssemble() del B0 matBhat = Bhat.ParallelAssemble() del Bhat matSinv = Sinv.ParallelAssemble()
rhs_coef = analytic_rhs()
sol_coef = analytic_solution()
b.AddDomainIntegrator(mfem.DomainLFIntegrator(rhs_coef))
b.Assemble()
# 6. Define the solution vector x as a finite element grid function
# corresponding to fespace. Initialize x with initial guess of zero.
x = mfem.ParGridFunction(fespace)
x.Assign(0.0)
# 7. Set up the bilinear form a(.,.) on the finite element space
# corresponding to the Laplacian operator -Delta, by adding the Diffusion
# and Mass domain integrators.
a = mfem.ParBilinearForm(fespace)
a.AddDomainIntegrator(mfem.DiffusionIntegrator(one))
a.AddDomainIntegrator(mfem.MassIntegrator(one))
# 8. Assemble the linear system, apply conforming constraints, etc.
a.Assemble()
a.Finalize()
mat = a.ParallelAssemble()
mat.Print("parmatrix")
A = mfem.HypreParMatrix()
B = mfem.Vector()
X = mfem.Vector()
empty_tdof_list = mfem.intArray()
a.FormLinearSystem(empty_tdof_list, x, b, A, X, B)
amg = mfem.HypreBoomerAMG(A)