Abstract
A direct boundary element method (BEM) has been studied in the paper based on a set of sufficient and necessary boundary integral equations (BIE) for the plane harmonic functions. The new sufficient and necessary BEM leads to accurate results while the conventional insufficient BEM will lead to inaccurate results when the conventional BIE has multiple solutions. Theoretical and numerical analyses show that it is beneficial to use the sufficient and necessary BEM, to avoid hidden dangers due to non-unique solution of the conventional BIE.
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Wenjun, H., Haojiang, D. & Haichang, H. Numerical comparison of two boundary element methods for plane harmonic functions. Acta Mech Sinica 9, 312–319 (1993). https://doi.org/10.1007/BF02486859
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DOI: https://doi.org/10.1007/BF02486859