Synonyms
Boundary element method; Boundary integral approaches
Definition
The boundary element method is a numerical method for solving integral equations. These integral equations are the integral representations of the governing equations of the underlying physical problems, often formulated based on the fundamental solutions of the problems.
Overview
The boundary element method (BEM) has been established as a powerful numerical method for solving engineering problems. Applications include, but are not limited to, electromagnetics, elasticity, acoustics, potential, and viscous flow. In contrast to other numerical techniques, the governing equations are cast into a set of integral equations that are solved by collocation or Galerkin discretization. A detailed description of this method can be found in [1]. One major advantage of the BEM is that it reduces the dimensionality of the problem by one. Thus, for the majority of practical cases, the simple boundary discretization leads to a...
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Ye, W. (2015). Boundary Element Method and Its Applications to the Modeling of MEMS Devices. In: Li, D. (eds) Encyclopedia of Microfluidics and Nanofluidics. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-5491-5_122
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DOI: https://doi.org/10.1007/978-1-4614-5491-5_122
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Publisher Name: Springer, New York, NY
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Online ISBN: 978-1-4614-5491-5
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