Inverse field calculation for structure positioning

摘要

Structure positioning is a special type of inverse problem where the only unknown parameter is the position of a given structure. Present methods find the unknown distance in several iterations by computing the direct field problem at every step. A novel concept that solves the inverse problem without iterations within the computation time of one direct problem is presented. This is demonstrated on a geophysical example using Trefftz (1926) elements as a kernel method.