Boundary Integral Equations in Clifford Analysis

• Main Authors: Kuan-Fu Lin, 林冠甫
• Other Authors: 洪宏基
• Format: Others
• Language: en_US
• Published: 2008
• Online Access: http://ndltd.ncl.edu.tw/handle/48415108120238576682

碩士 === 國立臺灣大學 === 土木工程學研究所 === 96 === It is well known that plane problems of harmonic functions are analyzed and solved effectively when expressed in the form of complex variables. This effectiveness is generally attributed to the powerful techniques of complex analysis and the richness of complex function theory. In view of this, the present thesis is aimed to extend the techniques to n-dimensional problems of boundary integral equations (BIEs) for harmonic field variables. Regarding usefulness for practical purposes, we derive singular and hypersingular BIEs not only for points on smooth boundaries but also for corner boundary points. The relations of real, complex, quaternion, and Clifford valued BIEs are explored. In Clifford valued BIEs, the three types of functions of are treated.