Complex number field

The inner product is defined as follows, if you take the inner product over a complex field, does the test function have to be a conjugate function, is the inner product defined the same way?
屏幕截图 2022-03-27 200731

This is the L2 inner product for real functions. For complex functions, one would use a conjugate function.

Hello, in FreeFem++, does the programming language


represent real-valued functions. But I see an example of a complex function, which is also


which in fact should not be


Yes but the test function is real so no conj .

1 Like

I see. Thank you very much for your reply. :smile:

Good morning, if the test function is a real function, then the stiffness matrix is real, but why define matrix complex>A=va (Xh,Xh) rather than matrix A=va(Xh,Xh)?

because the you get matrix coefficient as complex and not real.

1 Like

Thank you for your reply. The problem has been solved.