def runTest(self): m = MeshLine(np.linspace(0., 1.)).refined(2) ib = InteriorBasis(m, self.e) fb = FacetBasis(m, self.e) @LinearForm def boundary_flux(v, w): return v * (w.x[0] == 1.) L = asm(laplace, ib) b = asm(boundary_flux, fb) D = m.nodes_satisfying(lambda x: x == 0.0) I = ib.complement_dofs(D) # noqa E741 u = solve(*condense(L, b, I=I)) # noqa E741 np.testing.assert_array_almost_equal(u[ib.nodal_dofs[0]], m.p[0], -10)
def runTest(self): m = MeshLine(np.linspace(0., 1.)) m.refine(2) e = ElementLineP1() ib = InteriorBasis(m, e) fb = FacetBasis(m, e) @linear_form def boundary_flux(v, dv, w): return -v * (w.x[0] == 1.) L = asm(laplace, ib) b = asm(boundary_flux, fb) D = m.nodes_satisfying(lambda x: x == 0.0) I = ib.complement_dofs(D) # noqa E741 u = solve(*condense(L, b, I=I)) # noqa E741 self.assertTrue(np.sum(np.abs(u + m.p[0, :])) < 1e-10)