Finite Element Method with Web-splines for Electromagnetics

Finite Element Method (FEM) is one of the popular numerical methods when studying the complex geometries and arbitrary boundaries with inhomogeneous media for electromagnetics. However, mesh generation of standard FEM causes consumption in computation time for higher dimensions. This book presents the fundamental overview of electromagnetics and FEM with weighted extended basis splines (web-splines), which is a new developed FEM for electromagnetic problems such as two dimensional wave equation, reflection, and waveguide problems. The analyses presented in this study show the suitability of the proposed method to the electromagnetic problems. More accurate results are obtained by using fewer nodes. The method does not need any mesh generation as in the standard FEM, and more accurate results can be obtained by using less memory in computations. A Matlab-based Graphical User Interface for the web-spline is also presented. This book can be a good reference for engineers and scientists who are interested in computational electromagnetics.