| Abstract: | In the current research, the primary focus is to extend the CVBEM to solving potential problems in three dimensions (3D). This is achieved by applying the CVBEM to three coupled projections of the 3D problem domain, in 2D planes, and then superimposing the resulting corresponding 2D CVBEM solutions. The new 3D CVBEM technique is also applied towards improving 3D problem approximations, which are based on the usual 3D boundary element method (BEM) techniques, by approximating the 3D BEM residual error. Finally, a technique to extend a 3D problem geometry into higher geometric dimensions is introduced, and a corresponding numeric error reduction technique is advanced for use in superimposing multiple dimension approximations to improve 3D approximations. © 2000 John Wiley & Sons, Inc. Numer Methods Partial Differential Eq 16: 535–560, 2000. |
