Living Reference Work Entry

Encyclopedia of Microfluidics and Nanofluidics

pp 1-12

Date: Latest Version

Boundary-Element Method in Microfluidics

  • Barbaros CetinAffiliated withMechanical Engineering Department, Bilkent University Email author 
  • , Besim BaranoğluAffiliated withDepartment of Manufacturing Engineering, Atılım University

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 possibility o ...

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