* solving issue
This commit is contained in:
Dario Coscia
2024-08-12 14:47:14 +02:00
committed by GitHub
parent d4ced3a7d7
commit d00fb95d6e
2 changed files with 23 additions and 27 deletions

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@@ -32,45 +32,40 @@ class ParametricEllipticOptimalControl(SpatialProblem, ParametricProblem):
x_range = [xmin, xmax]
y_range = [ymin, ymax]
# setting parameters range
amin, amax = 0.0001, 1
amin, amax = 0.01, 1
mumin, mumax = 0.5, 3
mu_range = [mumin, mumax]
a_range = [amin, amax]
# setting field variables
output_variables = ['u', 'p', 'y']
output_variables = ['u', 'y', 'z']
# setting spatial and parameter domain
spatial_domain = CartesianDomain({'x1': x_range, 'x2': y_range})
parameter_domain = CartesianDomain({'mu': mu_range, 'alpha': a_range})
# equation terms as in https://arxiv.org/pdf/2110.13530.pdf
def term1(input_, output_):
laplace_p = laplacian(output_, input_, components=['p'], d=['x1', 'x2'])
return output_.extract(['y']) - input_.extract(['mu']) - laplace_p
laplace_z = laplacian(output_, input_, components=['z'], d=['x1', 'x2'])
return output_.extract(['y']) - input_.extract(['mu']) - laplace_z
def term2(input_, output_):
laplace_y = laplacian(output_, input_, components=['y'], d=['x1', 'x2'])
return - laplace_y - output_.extract(['u'])
def fixed_y(input_, output_):
return output_.extract(['y'])
def fixed_p(input_, output_):
return output_.extract(['p'])
# setting problem condition formulation
conditions = {
'gamma1': Condition(
location=CartesianDomain({'x1': x_range, 'x2': 1, 'mu': mu_range, 'alpha': a_range}),
equation=SystemEquation([fixed_y, fixed_p])),
equation=FixedValue(0, ['y',])),
'gamma2': Condition(
location=CartesianDomain({'x1': x_range, 'x2': -1, 'mu': mu_range, 'alpha': a_range}),
equation=SystemEquation([fixed_y, fixed_p])),
equation=FixedValue(0, ['y', 'z'])),
'gamma3': Condition(
location=CartesianDomain({'x1': 1, 'x2': y_range, 'mu': mu_range, 'alpha': a_range}),
equation=SystemEquation([fixed_y, fixed_p])),
equation=FixedValue(0, ['y', 'z'])),
'gamma4': Condition(
location=CartesianDomain({'x1': -1, 'x2': y_range, 'mu': mu_range, 'alpha': a_range}),
equation=SystemEquation([fixed_y, fixed_p])),
equation=FixedValue(0, ['y', 'z'])),
'D': Condition(
location=CartesianDomain(
{'x1': x_range, 'x2': y_range,