def findTriangleEigs(x,y,h,n): mesh = assembleTriangle(x,y,h) evals,evecs = FE.findEigs(mesh,n=2*n) return evals[n], evecs[:,n], mesh
def findTriangleEig(x,y,h): mesh = assembleTriangle(x,y,h) evals,evecs = FE.findEigs(mesh,n=2) return evals[1], evecs[:,1], mesh
mesh1 = triangle.triangulate(domain1, "pqa0.02r")
mesh2 = triangle.triangulate(domain2, "pqa0.02r")
ax1 = plt.subplot(121, aspect="equal")
ax2 = plt.subplot(122, aspect="equal")
plot.plot(ax1, **mesh1)
plot.plot(ax2, **mesh2)
plt.show()
X1 = mesh1["vertices"][:, 0]
Y1 = mesh1["vertices"][:, 1]
X2 = mesh2["vertices"][:, 0]
Y2 = mesh2["vertices"][:, 1]
evals1, evecs1 = FE.findEigs(mesh1, 25)
evals2, evecs2 = FE.findEigs(mesh2, 25)
for j in range(25):
x1 = evals1[j]
x2 = evals2[j]
print x1, x2, np.abs(x2 - x1), np.abs(x2 - x1) / min(x2, x1)
k = 17
v1 = evecs1[:, k]
v2 = evecs2[:, k]
# ax1 = plt.subplot(121,aspect='equal')
# ax1.tricontourf(X1,Y1,v1,0,cmap='copper')
# ax2 = plt.subplot(122,aspect='equal')
# ax2.tricontourf(X2,Y2,v2,0,cmap='copper')
def __init__(self,root,canvas_width,canvas_height):
self.root=root
self.canvas_width = canvas_width
self.canvas_height = canvas_height
self.nodes = False
self.eiglevel = 1
self.current_refine = 1
# set up the domain
self.dom = {'vertices':np.array([[0.,0.],[1.,0.7],[0.5,0.5]])}
self.mesh = triangle.triangulate(self.dom,'qa0.001')
x = self.mesh['vertices'][:,0]
y = self.mesh['vertices'][:,1]
self.eigvals,self.eigvecs = FE.findEigs(self.mesh,10)
z = self.eigvecs[:,self.eiglevel]
# set up the matplotlib nonsense
self.fig, self.ax = mpl.pyplot.subplots()
self.ax.clear()
self.ax.autoscale(enable=False)
self.ax.axis('off')
triang = tri.Triangulation(x,y)
self.ax.tricontourf(triang,z,100,cmap=plt.get_cmap('copper'))
self.canvas = FigureCanvasTkAgg(self.fig,master=root)
self.canvas.show()
self.canvas.get_tk_widget().pack()
#self.canvas.mpl_connect("button_press_event", self.setVertex)
self.canvas.mpl_connect("key_press_event", self.keyEvent)
print 'connected key press'
self.ax.set_xlim([0,1])
self.ax.set_ylim([0,1])
self.ax.autoscale(enable=False)
self.fig.tight_layout()
self.redraw()
# build and pack other controls
self.control_frame = Frame(master=root,width=canvas_width/4,height=canvas_height)
self.control_frame.pack(side=TOP)
self.b = Button(self.control_frame, text="QUIT", command = self.quit)
self.b.pack(side=LEFT)
self.c = Button(self.control_frame, text="Toggle Nodal", command=self.toggle)
self.c.pack(side=LEFT)
self.s = Button(self.control_frame, text="Energy Up", command=self.energy_up)
self.s.pack(side=LEFT)
self.t = Button(self.control_frame, text="Energy Down", command=self.energy_down)
self.t.pack(side=LEFT)
[6.4,-11], [30,-11], [30,0]]), 'segments':np.array([[0,1],[1,2],[2,3],[3,4],[4,5],[5,6],[6,7],[7,0]])}#, #'segment_markers': np.array([[1],[1],[1],[1],[1],[1],[1],[1]]), #'vertex_markers':np.array([[1],[1],[1],[1],[1],[1],[1],[1]])} mesh = triangle.triangulate(point_list,'pqa0.02') ax1 = plt.subplot(111, aspect='equal') plot.plot(ax1, **mesh) plt.show() print len(mesh['vertices']) evals, evecs = FE.findEigs(mesh,50) X = mesh['vertices'][:,0] Y = mesh['vertices'][:,1] v = evecs[:,45] fig = plt.figure() ax = fig.add_subplot(111,aspect='equal') ax.tricontourf(X,Y,v,0,cmap='copper') #ax.triplot(tri.Triangulation(t['vertices'][:,0],d['vertices'][:,1])) #ax.tricontourf(X,Y,v,levels=[-1e9,0,1e9],cmap='gray') plt.show()