Efficient mode analysis with edge elements and 3-D adaptive refinement

• Published in: IEEE transactions on microwave theory and techniques 1994-01, Vol.42 (1), p.99-107
• Main Authors: Golias, N.A., Papagiannakis, A.G., Tsiboukis, T.D.
• Format: Article
• Language: English
• Subjects: Adaptive mesh refinement; Applied sciences; Cavity resonators; Circuit properties; Dielectrics; Documentation; Eigenvalues and eigenfunctions; Electric, optical and optoelectronic circuits; Electromagnetic fields; Electronics; Exact sciences and technology; Microwave circuits, microwave integrated circuits, microwave transmission lines, submillimeter wave circuits; Nonuniform electric fields; Numerical models; Partial differential equations; Shape
• ISSN: 0018-9480; 1557-9670
• DOI: 10.1109/22.265536

Efficient mode analysis of 3-D inhomogeneously loaded cavity resonators of arbitrary shape by the finite edge element method is presented in this paper. Two weak formulations involving field vectors E and H are derived from a Galerkin weighted scheme resulting in a sparse symmetric generalized eigenvalue problem, the solution of which is obtained by a sparse eigenvalue technique. Edge elements with divergence free shape functions guarantee the continuity of the tangential components of the field variables E or H, but not of their normal components, across element interfaces in contrast with node based elements that impose full continuity. The discontinuity of the normal component of D or B, present in the numerical model, is proposed as an error estimator suitable for adaptive mesh refinement of 3-D tetrahedral meshes with edge elements. Application to a dielectrically loaded cavity is given with full documentation and by way of illustration.< >