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ie_adapt.i
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ie_adapt.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
[]
[Variables]
active = 'u'
[./u]
order = FIRST
family = LAGRANGE
[./InitialCondition]
type = ConstantIC
value = 0
[../]
[../]
[]
[Functions]
[./forcing_fn]
type = ParsedFunction
# dudt = 3*t^2*(x^2 + y^2)
value = 3*t*t*((x*x)+(y*y))-(4*t*t*t)
[../]
[./exact_fn]
type = ParsedFunction
value = t*t*t*((x*x)+(y*y))
[../]
[]
[Kernels]
active = 'diff ie ffn'
[./ie]
type = TimeDerivative
variable = u
[../]
[./diff]
type = Diffusion
variable = u
[../]
[./ffn]
type = UserForcingFunction
variable = u
function = forcing_fn
[../]
[]
[BCs]
active = 'all'
[./all]
type = FunctionDirichletBC
variable = u
boundary = '0 1 2 3'
function = exact_fn
[../]
[./left]
type = DirichletBC
variable = u
boundary = 3
value = 0
[../]
[./right]
type = DirichletBC
variable = u
boundary = 1
value = 1
[../]
[]
[Postprocessors]
[./l2_err]
type = ElementL2Error
variable = u
function = exact_fn
[../]
[]
[Executioner]
type = Transient
scheme = 'implicit-euler'
# Preconditioned JFNK (default)
solve_type = 'PJFNK'
start_time = 0.0
num_steps = 5
dt = 0.25
[./Adaptivity]
refine_fraction = 0.2
coarsen_fraction = 0.3
max_h_level = 4
[../]
[]
[Outputs]
output_initial = false
exodus = true
[]