A new boundary spectral strip method for non-periodical geometrical entities based on analytical integrations

A method based on expanding the boundary integral equation into a trigonometric 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, yet obtaining more precise results as compared with other common numerical methods. When the geometry of the problem contains circles and straight lines, all the integrations required for solution of the boundary integral are solved analytically. Some elastostatic problems are solved here, and compared with the boundary element method (BEM), which shows some remarkable advantages of the boundary strip method over the BEM.