Singular high-order complete vector functions for the analysis and design of electromagnetic structures with Finite Methods

This dissertation presents new singular curl- and divergence- conforming vector bases that incorporate the edge conditions. Singular bases complete to arbitrarily high order are described in a unified and consistent manner for curved triangular and quadrilateral elements. The higher order basis functions are obtained as the product of lowest order functions and Silvester–Lagrange interpolatory polynomials with specially arranged arrays of interpolation points. The completeness properties are discussed and these bases are proved to be fully compatible with the standard, high-order regular vector bases used in adjacent elements. The curl (divergence) conforming singular bases guarantee tangential (normal) continuity along the edges of the elements allowing for the discontinuity of normal (tangential) components, adequate modeling of the curl (divergence), and removal of spurious modes (solutions). These singular high-order bases should provide more accurate and efficient numerical solutions of both surface integral and differential problems. Sample numerical results confirm the faster convergence of these bases on wedge problems.

Grantor dc:publisher

Politecnico di Torino

Year dc:date

2004

Author dc:creator

• LOMBARDI, Guido

• Electromagnetic analysi
• electromagnetic scattering
• finite element methods (FEMs)
• Galerkin method
• high-order modeling
• method of moments (MoM)
• numerical analysi
• singular vector functions incorporating edge condition
• wedges.
• Settore ING-IND/31 - Elettrotecnica

Language dc:language

eng

Handle dc:identifier

http://hdl.handle.net/11583/2504599

OAI identifier oai:identifier

oai:iris.polito.it:11583/2504599