On 7/5/21 3:27 AM, Sylvain Mathonnière wrote:

On a side note (irrelevant now), when I was talking about orthonormal basis, I was refering to something like \int w_i(x) w_j(x)= kronecker_{i,j}, which should be doable and in which basis T_n^3 would look like *T_{n}^3 = sum([T_{n}]_i^3 * w_i).*

No, that's not right. You don't have w_i w_k = w_i. The kronecker property only holds if you integrate over things.


By the way, Isn't there a mistake in tutorial 15 when it says F'(u_n, δu_n) = -F(u_n) (just after "...use a damping parameter αnto get better global convergence behavior: "). Shouldn't we read F'(u_n, δu_n) * δu_n = -F(u_n) otherwise it is not homogeneous ?

That's just a question of notation. When we say
  F'(un, delta un)
then this quantity is linear in delta u_n. Other people might have written this 
as
  J(un) delta u_n

Best
 W.


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Wolfgang Bangerth          email:                 [email protected]
                           www: http://www.math.colostate.edu/~bangerth/

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