In Reply to: Re: FEA vs BEM posted by John Sheerin on January 28, 2006 at 07:47:41:
"So that's an approximation of infinity that becomes better as the radius increases, iirc."This is correct, but as you go further and further out the matrices get bigger and bigger and less and less accurate so your not really getting anywhere. In our paper we derive a true infinite element which is accurate at even the smallest possible radius's that encompass the geometry, thus allowing small matrices for higher wavenumber solutions.
"I gravitate towards the exact geometry because I like trying a lot of different geometries."
To me this is eactly the problem, you keep trying things hoping to find something good. By doing the problem analytically I was able to go directly to the best geometry, which, as you point out, was built, tested, listened to, and low and behold, wonder of wonders, it works! And I can now prove how and why nothing else can work better. You can never do that with "cut and try".
I have always found that people in audio ask the wrong questions. They are always asking "What will happen if I do X?" A better, but more difficult approach is to ask the question "What do I want to do and how do I do it?" The second question will lead to real results far more often and far faster than the first will.
FEA does the first question well but analytical approachs are usually required to answer the second one. Thats why I moved away from FEA and BEM. I did my PhD in FEA problems in Acoustics way back in 1979. I used it for about 5 years after that, always asking the "what if" questions, but I never seemed to find anything important. Then I started asking the other question and I found that FEA was not well suited to that one.
So if your having fun, then great, but if you want to move the needle forward, I'd look to the analytical methods. They are far more difficult, but far more effective.
Earl Geddes
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Follow Ups
- Re: FEA vs BEM - EGeddes 01/28/0608:44:52 01/28/06 (1)
- Re: FEA vs BEM vs "what do I want" - freddyi 12:13:46 01/28/06 (0)