Higher Order Modeling in Hybrid Approaches to the Computation of Electromagnetic FieldsHigher order geometry representations and interpolatory basis functions for computational electromagnetics are reviewed. Two types of vector-valued basis functions are described: curl-conforming bases, used primarily in finite element solutions, and divergence-conforming bases used primarily in integral equation formulations. Both sets satisfy Nedelec constraints, which optimally reduce the number of degrees of freedom required for a given order. Results are presented illustrating the improved accuracy and convergence properties of higher order representations for hybrid integral equation and finite element methods.
Document ID
20100042635
Acquisition Source
Johnson Space Center
Document Type
Conference Paper
Authors
Wilton, Donald R. (Houston Univ. Houston, TX, United States)
Fink, Patrick W. (NASA Johnson Space Center Houston, TX, United States)
Graglia, Roberto D. (Politecnico di Turin Turin, Italy)