近隣節点情報を利用した数値解析法

抄録

A new approach which is effective when applied to energy methods such as finite-element methods is proposed. Using the Taylor-Maclaurin theorem, information from the neighboring nodes can be utilized, and any nth-order derivative is obtained as a continuous unique value. Therefore, utilizing this method for various types of energy principles, convergence to a theoretical value is assured by inceasing the mesh division. By applying this method to the finite-element method based on the principle of stationary potential energy for plate bending problems, satisfactory results are obtained.