Application of a Meshless Method in

Abstract—An improved meshless method is presented with an emphasis on the detailed description of this new computational technique and its numerical implementations by investigating the usefulness of a commonly neglected parameter in this paper. Two approaches to enforce essential boundary conditions are also thor-oughly investigated. Numerical tests on a mathematical function is carried out as a means of validating the proposed method. It will be seen that the proposed method is more robust than the conven-tional ones. Applications in solving electromagnetic problems are also presented. Index Terms—Lagrange multiplier method, least squares method, meshless method, moving-least square approximants. I