Analytical Integrations Of The Linearly
Interpolated Triangular IBEM Element With The
Aid Of The Matlab Symbolic Math Toolbox
Author(s)
Gong Andong
Abstract
This paper deals with the analytical integration over the linearly interpolated
triangular boundary element involved in an indirect boundary element method
(IBEM) for solving three dimensional potential problems. The analytical
solutions of all the IBEM integrals are derived using the Matlab Symbolic Math
Toolbox, with most of the deriving works carried out by computer, and
accompanied by a few crucial manual rectifications and integrating techniques.
Compared with the presently published kindred analytical solutions, the
computer-produced and human-rectified ones take much less tedious manual
work and have their own advantages in implementation, such as convenience for
programming, and no need to trace the relevant literature for detailed
expressions, etc. A calculation test is also carried out to justify the analytical
solutions.
Keywords: indirect boundary element method, triangular element, analytical
integration, Matlab Symbolic Math Toolbox.
Keywords
indirect boundary element method, triangular element, analytical
integration, Matlab Symbolic Math Toolbox
Related Book
Other papers in this volume
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