Title :
Mixed-order tangential vector finite elements for triangular elements
Author :
Andersen, Lars S. ; Volakis, John L.
Author_Institution :
Dept. of Electr. Eng. & Comput. Sci., Michigan Univ., Ann Arbor, MI, USA
fDate :
2/1/1998 12:00:00 AM
Abstract :
The paper begins by reviewing the principles of edge- and face-based vector basis functions for FEM expansion, using tangential vector finite elements (TVFEs) for triangular elements. A basic description of the hierarchical concept is then given and mixed-order TVFEs are described for triangular elements. After an introduction of the geometry, a presentation of the lowest-order TVFE (of order 0.5) is given. Subsequently, a non-hierarchical and a hierarchical TVFE of order 1.5 are presented
Keywords :
electromagnetic field theory; finite element analysis; FEM expansion; TVFE; edge-based vector basis functions; face-based vector basis functions; geometry; hierarchical concept; hierarchical elements; mixed-order tangential vector finite elements; nonhierarchical elements; triangular elements; Computer science; Electromagnetic fields; Finite element methods; Geometry; Mechanical engineering; Polynomials; USA Councils;
Journal_Title :
Antennas and Propagation Magazine, IEEE
