A three-dimensional self-adaptive hp finite element method for the characterization of waveguide discontinuities

A Graph Grammar Model of the hp Adaptive Three Dimensional Finite Element Method. Part I

The first part of our paper presents a composite programmable graph grammar model for the self-adaptive two dimensional hp Finite Element Method algorithms (2D hp-FEM) with mixed triangular and rectangular finite elements. The two dimensional model is a starting point for the three dimensional model of self-adaptive hp-FEM presented in the second part of this paper. A computational mesh is repr...

A Graph Grammar Model of the hp Adaptive Three Dimensional Finite Element Method. Part II

This paper presents a composite programmable graph grammar model of the three dimensional self-adaptive hp Finite Element Method (hp-FEM) algorithms. The computational mesh composed of hexahedral finite elements is represented by a composite graph. The operations performed over the mesh are expressed by composite graph grammar productions. The three dimensional model is based on the extension o...

Analysis of Waveguide Junction Discontinuities Using Finite Element Method

Adaptive hp-Finite Element Method for Low Mach Number Flows

Flow configurations in the low-Mach number regime usually lead locally to large gradients in the velocity field as well as in the temperature variable. Such structures including boundary layers are typical in the study of e.g. heat transfer problems or more generally in situations where compression effects are mainly due to thermodynamical effects (see e.g. [1]). We propose a method based on hp...

Waveguide Finite Element Method

1 EXECUTIVE SUMMARY In a low frequency analysis of vibration in a built-up structure, the eigen frequencies and the corresponding eigenmodes help the understanding of how and why the structure behaves as it does. These eigen solutions are also useful in calculations of forced response by modal super-position procedures. However, as frequency increases there are more and more modes with increasi...