Is BEM a More Efficient Alternative to FEA in Computational Science?

AI Thread Summary
The discussion centers on the comparison between the Boundary Element Method (BEM) and Finite Element Analysis (FEA) in computational science. BEM is noted for its efficiency in computational time, as it requires discretization only at the boundaries rather than throughout the entire body, making it advantageous for simpler problems. However, it is less widely used than FEA, which excels in handling complex shapes and fields due to advancements in computational power. The conversation also touches on the potential benefits of learning BEM as a stepping stone toward Computational Fluid Dynamics (CFD). Ultimately, while BEM has specific advantages, its limitations in handling complex scenarios compared to FEA are acknowledged.
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Hello! I'm starting a project with one of my professors at college whose subject is the Boundary Element Method. I've studied a little bit of Finite Element Method, but BEM is new to me. This project will envolve a lot of programming in Python and Matlab.

I would like to know how does BEM compares to FEA. My professor said that BEM takes less computational time because you only have to discretize the boundaries of your problem, and not the whole body (that's what I understood). But looks like BEM is way less widespread than FEA, for example. Ultimately, I would like to learn CFD, and I wonder if learning BEM now would be a good step towards this.
 
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Baluncore said:
In the days of slow computers …
BEM can only handle simple isotropic fields. Think black line art.

Now that we have faster numerical processors with much greater storage ...
FEM can handle problems with very complex shapes and fields. Think colour pictures.

https://en.wikipedia.org/wiki/Boundary_element_method#Comparison_to_other_methods

Well, but probably BEM still has advantage on some fields, right? My professor's research in university is pretty much focused only on BEM.
 
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