Unifying treatment of body force method and boundary element method. Proposal of a general method of numerical analysis based on the principle of superposition

The body force method is a method based on the principle of superposition. By inserting the region in question into the supplementary region and reducing the given problem to the problem of an infinite body without any cavity or additional, the most general formula based on superposing of fundamental solutions can be obtained. The direct method of BEM can be regarded as a special case of the proposed general formula in which the deformation in the supplementary region is put to be zero.