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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. Fast multipole BEMcan also solve a model with 1 million DOFs on a PC with 1 GB RAM.

• More efficient in meshing due to the reduction of dimensions • Good for stress concentration and infinite domain problems • Good for modeling thin shell -like structures/models of materials • Neat … (integration, superposition, boundary solutions for BVPs) Disadvantages: •

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