Data Science Asked on February 4, 2021
I am new to python and programming for that matter. I am trying to solve a special type of wave equation using finite element method and carry out simulations in python. I am getting some errors which I do not understand and I need help. Below is the error and subsequently a part of the code.
ValueError Traceback (most recent call last)
<ipython-input-138-b33b0055e38e> in <module>
6 # Finite Element Method
7 #unew = (dt**2) * Minv @ (f*src[it] - K @ u) + 2*u - uold
----> 8 vnew = dt * Minv @ (f*src[it] - (Kv @ v) - (Ku @ u)) + v
9 v = v, vnew
10 unew = (dt) * vnew
ValueError: matmul: Input operand 1 has a mismatch in its core dimension 0, with gufunc signature (n?,k),(k,m?)->(n?,m?) (size 2 is different from 1000)
for it in range(nt):
# --------------------------------------
# Finite Element Method
#unew = (dt**2) * Minv @ (f*src[it] - K @ u) + 2*u - uold
vnew = dt * Minv @ (f*src[it] - (Kv @ v) - (Ku @ u)) + v
v = v, vnew
unew = (dt) * vnew
#uold, u = u, unew
u = u, unew
# --------------------------------------
# Finite Difference Method
pnew = (dt**2) * Mfd @ ( f/dx*src[it]+ D @ p) + 2*p #- pold
p = p, pnew
# --------------------------------------
# Animation plot. Display both solutions
if not it % iplot:
for l in line1:
l.remove()
del l
for l in line2:
l.remove()
del l
line1 = plt.plot(x, v, 'k', lw=1.5, label='FEM')
line2 = plt.plot(x, p, 'r', lw=1.5, label='FDM')
plt.legend()
plt.gcf().canvas.draw()
It has to do with your coding style. Your code is too similar to mathematical notion. Issues include doing too much on single line and operator precedence in Python
Your code:
vnew = dt * Minv @ (f*src[it] - (Kv @ v) - (Ku @ u)) + v
Breaking into simpler statements would allow for easier debugging.
term_1 = (f*src[it]) - (Kv @ v) - (Ku @ u)
term_2 = term_1 + v
term_3 = Minv @ term_2
vnew = dt * term_3
Answered by Brian Spiering on February 4, 2021
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