Method of Weighted Residuals - Least Squares

  • Thread starter mcooper
  • Start date
  • #1
29
0
I am having a problem applying the Least Squares method in the case where I have 2 fundamental solutions and therefore 2 unknown wieghts to find.


[tex]I=\int_{\Gamma} |\varphi + 1/2|^2 \mathrm{d}s}_{1} + \underbrace{\int_{\Gamma_{in}} |\varphi + 1/4|^2 \mathrm{d}s[/tex]

(im not sure if this equation will show, if not please refer to the attachment, equation (2))


I am thinking I need to partially differentiate separately by c_j and d_j but am struggling to obtain a system of equations that I can code up in Matlab. I have attached a 1 page outline of the problem I am having.

Any help would be greatly appreciated.

Many thanks in advance.
 

Attachments

  • annular.pdf
    71.6 KB · Views: 127

Answers and Replies

Related Threads on Method of Weighted Residuals - Least Squares

  • Last Post
Replies
4
Views
1K
  • Last Post
Replies
3
Views
1K
  • Last Post
Replies
12
Views
2K
Replies
2
Views
3K
  • Last Post
Replies
7
Views
929
  • Last Post
Replies
1
Views
2K
  • Last Post
Replies
3
Views
1K
  • Last Post
Replies
8
Views
2K
  • Last Post
Replies
4
Views
987
  • Last Post
Replies
4
Views
982
Top