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Boundary-Element Method in Microfluidics

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Encyclopedia of Microfluidics and Nanofluidics

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Synonyms

Boundary element method; Boundary integral approach

Definition

The boundary element method (BEM) is a numerical method for solving partial differential equations which are encountered in many engineering disciplines such as solid and fluid mechanics, electromagnetics, and acoustics.

Overview

Boundary element method (or boundary integral method) is a numerical tool that is well applied to many linear problems in engineering. There are several advantages of the boundary element method (BEM) over other numerical methods (such as finite element method (FEM)) and some of which are (i) discretization and modeling of only the boundary of the solution domain, (ii) improved solutions in stress concentration problems, (iii) accuracy of the solution regarding that it is a semi-analytical method (the integral equation is obtained using exact solution of the corresponding linear problem; the numerical approach is necessary only for evaluating the resulting integrals), and (iv) the...

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References

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Author information

Authors and Affiliations

  1. Mechanical Engineering Department, Bilkent University, EA-124 Bilkent, 06800, Ankara, Turkey

    Barbaros Cetin

  2. Department of Manufacturing Engineering, Atılım University, 06836, Ankara, Turkey

    Besim Baranoğlu

Authors
  1. Barbaros Cetin
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  2. Besim Baranoğlu
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Corresponding author

Correspondence to Barbaros Cetin .

Editor information

Editors and Affiliations

  1. VU Station B 351592, Vanderbilt University Dept. Mechanical Engineering, Nashville, Tennessee, USA

    Dongqing Li

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Cetin, B., Baranoğlu, B. (2014). Boundary-Element Method in Microfluidics. In: Li, D. (eds) Encyclopedia of Microfluidics and Nanofluidics. Springer, Boston, MA. https://doi.org/10.1007/978-3-642-27758-0_121-6

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  • DOI: https://doi.org/10.1007/978-3-642-27758-0_121-6

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  • Publisher Name: Springer, Boston, MA

  • Online ISBN: 978-3-642-27758-0

  • eBook Packages: Springer Reference EngineeringReference Module Computer Science and Engineering

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