O. Michael et al., A NEW BOUNDARY SPECTRAL STRIP METHOD FOR NON-PERIODICAL GEOMETRICAL ENTITIES BASED ON ANALYTICAL INTEGRATIONS, Computer methods in applied mechanics and engineering, 135(3-4), 1996, pp. 327-342
A method based on expanding the boundary integral equation into a trig
onometric series or a high-order polynom is proposed, depending on the
domain geometry. It is a non-element method which yields solutions to
elastostatic and potential problems, using a small computer memory, y
et obtaining more precise results as compared with other common numeri
cal methods. When the geometry of the problem contains circles and str
aight lines, all the integrations required for solution of the boundar
y integral are solved analytically. Some elastostatic problems are sol
ved here, and compared with the boundary element method (BEM), which s
hows some remarkable advantages of the boundary strip method over the
BEM.