Title :
Building Trefftz finite elements for electromagnetic problems
Author :
Shlepnev, Yuriy Olegovich
Author_Institution :
Innoveda Inc., Camarillo, CA, USA
Abstract :
Generalized algorithm to build descriptor matrices of convex politope Trefftz finite elements is introduced in the paper. A finite number of plane waves is used to expand electromagnetic field inside the elements. Projections of the intra-element field on an additional set of basis functions defined on the element surface are used to build admittance matrix descriptors of the element.
Keywords :
Maxwell equations; computational electromagnetics; electromagnetic fields; electromagnetic wave propagation; finite element analysis; admittance matrix descriptors; basis functions; convex politope Trefftz finite elements; descriptor matrices; electromagnetic field; electromagnetic problems; element surface; intra-element field; plane waves; Admittance; Boundary conditions; Boundary value problems; Buildings; Computational electromagnetics; Electromagnetic fields; Finite element methods; Magnetic fields; Maxwell equations; Polynomials;
Conference_Titel :
Mathematical Methods in Electromagnetic Theory, 2002. MMET '02. 2002 International Conference on
Conference_Location :
Kiev, Ukraine
Print_ISBN :
0-7803-7391-X
DOI :
10.1109/MMET.2002.1106975
