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penalty_dirichlet_bc_test.i
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penalty_dirichlet_bc_test.i
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[Mesh]
type = GeneratedMesh
dim = 2
xmin = -1
xmax = 1
ymin = -1
ymax = 1
nx = 10
ny = 10
elem_type = QUAD9
[]
[Functions]
[./forcing_fn]
type = ParsedFunction
value = -2*(x*x+y*y-2)+(1-x*x)*(1-y*y)
[../]
[./solution]
type = ParsedGradFunction
value = (1-x*x)*(1-y*y)
grad_x = 2*(x*y*y-x)
grad_y = 2*(x*x*y-y)
[]
[Variables]
[./u]
order = SECOND
family = HIERARCHIC
[../]
[]
[Kernels]
active = 'diff forcing reaction'
[./diff]
type = Diffusion
variable = u
[../]
[./reaction]
type = Reaction
variable = u
[../]
[./forcing]
type = UserForcingFunction
variable = u
function = forcing_fn
[../]
[]
[BCs]
active = 'bc_all'
[./bc_all]
type = PenaltyDirichletBC
variable = u
value = 0
boundary = 'top left right bottom'
penalty = 1e5
[../]
[]
[Postprocessors]
[./dofs]
type = NumDOFs
[../]
[./h]
type = AverageElementSize
variable = u
[../]
[./L2error]
type = ElementL2Error
variable = u
function = solution
[../]
[./H1error]
type = ElementH1Error
variable = u
function = solution
[../]
[./H1Semierror]
type = ElementH1SemiError
variable = u
function = solution
[../]
[]
[Executioner]
type = Steady
# Preconditioned JFNK (default)
solve_type = 'PJFNK'
nl_rel_tol = 1e-15
[]
[Outputs]
interval = 1
exodus = true
csv = true
print_perf_log = true
[]