linear_elasticity.py
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	# Copyright (C) 2018-2020 by the RROMPy authors
	#
	# This file is part of RROMPy.
	#
	# RROMPy is free software: you can redistribute it and/or modify
	# it under the terms of the GNU Lesser General Public License as published by
	# the Free Software Foundation, either version 3 of the License, or
	# (at your option) any later version.
	#
	# RROMPy is distributed in the hope that it will be useful,
	# but WITHOUT ANY WARRANTY; without even the implied warranty of
	# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
	# GNU Lesser General Public License for more details.
	#
	# You should have received a copy of the GNU Lesser General Public License
	# along with RROMPy. If not, see <http://www.gnu.org/licenses/>.
	#

	import numpy as np
	from linear_elasticity_beam_poisson_ratio_engine import \
	LinearElasticityBeamPoissonRatioEngine
	from rod_3d import rod3Dsolver

	def test_elastic_beam():
	solver = LinearElasticityBeamPoissonRatioEngine(n = 10, rho_ = 1e3, g = 3,
	E = 1e6, nu0 = .45, length = 5, verbosity = 0)
	mu = .45
	uh = solver.solve(mu)[0]
	assert np.isclose(solver.norm(uh), 9.33957e-08, rtol = 1e-1)
	assert np.isclose(solver.norm(solver.residual(mu, uh)[0], dual = True),
	8.4545952e-13, rtol = 1e-1)

	def test_elastic_rod():
	solver = rod3Dsolver()
	uh = solver.solve()[0]
	assert np.isclose(solver.norm(uh), 0.15563476339534466, rtol = 1e-5)
	assert np.isclose(solver.norm(solver.residual([], uh)[0], dual = True),
	1.2210129e-07, rtol = 1e-1)