def calcPoissonError (solname, outputdir, exactsol):
# get aproximated solution at each node
sol = Solution(solname, outdir=outputdir)
uh = sol.getPhie()[0,:]
# compute exact solution at each node
ue = np.zeros((np.shape(uh)[0]),dtype='float32') # exact u
lM = sol.getLumpedMassMatrixE() # lumped Mass
mesh = sol.getNodes()
X = mesh[:,0]
Y = mesh[:,1]
Z = mesh[:,2]
ue = evalExactSolution(exactsol, X, Y, Z)
# compute nodal error
err = ue - uh
# compute the L2 norm of the error
normeu = sol.calcL2NormError(err, lM)
return normeu
def viewLaplaceSolution (solname):
lasol = Solution(solname)
lphie = lasol.getPhie()
# no time steps
lphie = lphie[0,:]
peshp = np.shape(lphie)[0]
# view structured square mesh only
numNodesX = int( sqrt(peshp) )
numNodesY = int( sqrt(peshp) )
# reshape for visualization
phie = np.reshape(lphie, (numNodesX,numNodesY))
ax = subplot(111)
im = imshow(phie,cmap=cm.jet)
im.set_interpolation('bilinear')
title('Solution of the Laplace problem')
colorbar()
show()
E2t = np.zeros(m)
E2q = np.zeros(m)
E2i = np.zeros(m)
EM = np.zeros(m)
DOF = np.zeros(m)
# reference solutions
triRef = Solution('/data/sim/simulacao_3/tri_10um/tri_10um')
quaRef = Solution('/data/sim/simulacao_3/qua_10um/qua_10um')
quaisoRef = Solution('/data/sim/simulacao_3/qua_iso_10um/qua_iso_10um')
# convergence for triangle
for t in xrange(len(time)):
for i in xrange(m):
solname = os.path.join(dataPrefix + tr_name[i], tr_name[i])
triSol = Solution(solname)
E2t[i] = triSol.getL2NormError(triRef, time[t])
DOF[i] = triSol.getNumberOfNodes()
print 'Tr ', E2t
# convergence for quadrangle (hybrid approach)
for t in xrange(len(time)):
for i in xrange(m):
solname = os.path.join(dataPrefix + qd_name[i], qd_name[i])
quaSol = Solution(solname)
E2q[i] = quaSol.getL2NormError(quaRef, time[t])
DOF[i] = quaSol.getNumberOfNodes()
print 'Qd ', E2q