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hermite_converge_dirichlet.i
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hermite_converge_dirichlet.i
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[Mesh]
type = GeneratedMesh
dim = 2
xmin = -1
xmax = 1
ymin = -1
ymax = 1
nx = 4
ny = 4
elem_type = QUAD4
# This test will not work in parallel with DistributedMesh enabled
# due to a bug in PeriodicBCs.
parallel_type = replicated
[]
[Functions]
[./bc_fn]
type = ParsedGradFunction
value = -sin(pi*x)*sin(pi*y)
grad_x = -pi*cos(pi*x)*sin(pi*y)
grad_y = -pi*sin(pi*x)*cos(pi*y)
[../]
[./forcing_fn]
type = ParsedFunction
value = -2*pi*pi*sin(pi*x)*sin(pi*y)-sin(pi*x)*sin(pi*y)
[../]
[]
[Variables]
[./u]
order = THIRD
family = HERMITE
[../]
[]
[Kernels]
[./diff]
type = Diffusion
variable = u
[../]
[./reaction]
type = Reaction
variable = u
[../]
[./forcing]
type = BodyForce
variable = u
function = forcing_fn
[../]
[]
[BCs]
[./all]
type = FunctionPenaltyDirichletBC
variable = u
boundary = 'bottom right top left'
function = bc_fn
penalty = 1e10
[../]
[]
[Postprocessors]
[./dofs]
type = NumDOFs
[../]
[./h]
type = AverageElementSize
variable = u
[../]
[./L2error]
type = ElementL2Error
variable = u
function = bc_fn
[../]
[./H1error]
type = ElementH1Error
variable = u
function = bc_fn
[../]
[./H1Semierror]
type = ElementH1SemiError
variable = u
function = bc_fn
[../]
[]
[Executioner]
type = Steady
solve_type = 'NEWTON'
# We use higher-order quadrature to ensure that the forcing function
# is integrated accurately.
[./Quadrature]
order=ELEVENTH
[../]
[]
[Adaptivity]
steps = 2
marker = uniform
[./Markers]
[./uniform]
type = UniformMarker
mark = refine
[../]
[../]
[]
[Outputs]
execute_on = 'timestep_end'
exodus = true
csv = true
print_mesh_changed_info = true
[]