Potential gradient recovery using a local smoothing procedure in the Cauchy integral

✍ Scribed by Mantič, V. ;Graciani, E. ;París, F.

• Book ID: 101280810
• Publisher: John Wiley and Sons
• Year: 1999
• Tongue: English
• Weight: 133 KB
• Volume: 15
• Category: Article
• ISSN: 1069-8299
• DOI: 10.1002/(sici)1099-0887(199908)15:8<547::aid-cnm268>3.0.co;2-s

✦ Synopsis

A new approach for evaluation of the potential gradient in the 2D boundary element method is presented. The two key elements of the procedure developed are, ®rstly, a new Strongly Singular Boundary Integral Representation of Potential Gradient in complex variable formulation (equivalent to the Cauchy integral representation of analytic functions), and secondly a continuous approximation of the integral density of this representation determined by a local smoothing procedure applied to the data obtained from BEM analysis. Numerical tests show the high accuracy of the recovered value of the tangential derivative of the potential on smooth and non-smooth boundaries.