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An Introduction to the Boundary Element Method (BEM)

1An Introduction to the Boundary Element Method (BEM) and Its Applications in EngineeringYijun LiuUpdated: October 20, 2018 Available at: Boundary Element Method (BEM)nnn Boundary Element methodapplies surface elements on the Boundary of a 3-D domain and line elements on the Boundary of a 2-D domain. The number of elements is O(n2) as compared to O(n3) in other domain based methods (n= number of elements needed per dimension). BEM is good for problems with complicated geometries, stress concentration problems, infinite domain problems, wave propagation problems, and many others. finite Element methodcan solve a model with 1 million DOFs on a PC with 1 GB RAM.

• Finite element method can solve a model with 1 million DOFs on a PC with 1 GB RAM. • Fast multipole BEM can also solve a model with 1 million DOFs on a PC with 1 GB RAM. However, these DOFs are on the boundary of the model only, which would require 1 billion DOFs for the corresponding domain model. ANSYS

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