demo Namespace Reference

Classes
class	DirichletBoundary
Variables
tuple	mesh = UnitSquare(32, 32)
tuple	V = FunctionSpace(mesh, "CG", 1)
tuple	u0 = Constant(0.0)
tuple	bc = DirichletBC(V, u0, DirichletBoundary())
tuple	v = TestFunction(V)
tuple	u = TrialFunction(V)
tuple	f = Expression("500.0 * exp(-(pow(x[0] - 0.5, 2) + pow(x[1] - 0.5, 2)) / 0.02)")
tuple	ff = Function(V)
tuple	a = dot(grad(v), grad(u))
	L = v*ff*dx
tuple	ok = (u.vector().norm("l2") - 142.420764968)

---

Detailed Description

This demo program solves Poisson's equation

    - div grad u(x, y) = f(x, y)

on the unit square with source f given by

    f(x, y) = 500*exp(-((x - 0.5)^2 + (y - 0.5)^2) / 0.02)

and boundary conditions given by

    u(x, y) = 0 for x = 0 or x = 1

---

Variable Documentation

tuple demo::a = dot(grad(v), grad(u))

Definition at line 63 of file demo.py.

Referenced by SyFi.homogenous_pol(), SyFi.inner(), SyFi.lagrange(), SyFi.lagrangev(), SyFi.lst_equals(), main(), and setDigits().

tuple demo::bc = DirichletBC(V, u0, DirichletBoundary())

Definition at line 55 of file demo.py.

tuple demo::f = Expression("500.0 * exp(-(pow(x[0] - 0.5, 2) + pow(x[1] - 0.5, 2)) / 0.02)")

Definition at line 60 of file demo.py.

Referenced by SyFi.grad(), SyFi.legendre(), main(), SyFi.pol(), SyFi.polb(), and SWIG_Python_NonDynamicSetAttr().

tuple demo::ff = Function(V)

Definition at line 61 of file demo.py.

demo::L = v*ff*dx

Definition at line 64 of file demo.py.

tuple demo::mesh = UnitSquare(32, 32)

Definition at line 45 of file demo.py.

tuple demo::ok = (u.vector().norm("l2") - 142.420764968)

Definition at line 70 of file demo.py.

tuple demo::u = TrialFunction(V)

Definition at line 59 of file demo.py.

Referenced by SyFi::Nedelec2Hdiv.compute_basis_functions(), SyFi::Robust.compute_basis_functions(), SyFi::RaviartThomas.compute_basis_functions(), SyFi::Robust.compute_basis_functions_old(), compute_poisson_element_matrix(), SWIG_PackData(), and SWIG_UnpackData().

tuple demo::u0 = Constant(0.0)

Definition at line 54 of file demo.py.

tuple demo::V = FunctionSpace(mesh, "CG", 1)

Definition at line 46 of file demo.py.

Referenced by SyFi::Robust.compute_basis_functions(), and SyFi::Robust.compute_basis_functions_old().

tuple demo::v = TestFunction(V)

Definition at line 58 of file demo.py.

Referenced by swig::traits_as< Type, value_category >.as(), swig::traits_as< Type, pointer_category >.as(), swig::traits_as< Type *, pointer_category >.as(), SyFi.collect_symbols(), SyFi::Hermite.compute_basis_functions(), SyFi.count_ops(), SyFi.count_symbols(), SyFi.div(), SyFi.extract_symbols(), DofT< D, C >.insert_dof(), SyFi::Simplex.sub_simplex(), SWIG_AsVal_double(), SWIG_AsVal_int(), SWIG_AsVal_long(), SWIG_AsVal_ptrdiff_t(), SWIG_AsVal_size_t(), SWIG_AsVal_unsigned_SS_int(), SWIG_AsVal_unsigned_SS_long(), and SwigPyObject_dealloc().