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

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SUMMARY

The discussion centers on the comparison between the Boundary Element Method (BEM) and the Finite Element Method (FEM) in computational science. BEM is noted for its efficiency in computational time as it requires discretization of only the boundaries of a problem, while FEM can handle complex shapes and fields. Despite BEM's advantages in specific applications, it is less widely adopted than FEM. The conversation also touches on the relevance of BEM as a stepping stone towards learning Computational Fluid Dynamics (CFD).

PREREQUISITES
  • Understanding of Boundary Element Method (BEM)
  • Familiarity with Finite Element Method (FEM)
  • Proficiency in Python programming
  • Basic knowledge of Computational Fluid Dynamics (CFD)
NEXT STEPS
  • Research the implementation of BEM in Python and Matlab
  • Explore advanced topics in Finite Element Analysis (FEA)
  • Study the applications of BEM in engineering problems
  • Learn about Computational Fluid Dynamics (CFD) techniques
USEFUL FOR

This discussion is beneficial for students and researchers in computational science, particularly those interested in numerical methods, engineering applications, and anyone transitioning from FEM to BEM or CFD.

ramzerimar
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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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