Efficient analysis of waveguided structures using multiscalets-finite element method based on new reduction meshing

High order multiscalets functions applied in a finite element method (MS‐FEM) using the tetrahedric elements is presented in this article. This method is based on a vector‐edge element, which is proposed for the global analysis of microstrip structures. However, this new computational technique will be presented when the electromagnetic differential equations are incorporated into interpolations. In first approach, multiscalets with higher order multiplicity r = 3 are employed as basis functions. A new mesh‐truncated technique is introduced for the frequency‐domain solution of closed‐region scattering problems. The main idea of our refinement scheme based of the hexahedral form inspired properties is to use auxiliary elements, which are constructed in some practices. The coarse grid tetrahedron is split into four tetrahedrals that are similar to their parent plus one different tetrahedral in the center. Hence, our refinement procedure results are divided into only two classes of similar tetrahedral, implying that mesh quality will never deteriorate. This approach presents an efficiency technique to reduce the size of a regular structure meshing (≈40% is the reduction report). Then, a great gain in memory and time consumption will be obtained (square matrices size will have a total edges divided by 5.1). The entire new technique will be developed in our article. Numerical results presented in this article for a partially loaded waveguide problem will have a great importance to validate the usefulness of this new approach. © 2011 Wiley Periodicals, Inc. Microwave Opt Technol Lett 53:875–880, 2011; View this article online at wileyonlinelibrary.com. DOI 10.1002/mop.25848