A fast FEM-based field optimization using analytically calculated gradients

P. Harscher, S. Amari, R. Vahldieck
2000 Asia-Pacific Microwave Conference. Proceedings (Cat. No.00TH8522)  
This paper describes an efficient gradient-based optimization algorithm for the FEM. In contrast to the standard approach, which uses a finite difference calculation to find the gradient of a cost function, the gradient is calculated analytically. Hence only a single FEM analysis is required and no mesh re-adjustment is necessary. This saves not only computer memory but reduces computer time significantly. The analytically calculated gradient is exact and singularities (like in the finite
more » ... ence technique) do not occur. To illustrate the approach a simple H-plane filter is used heading.
doi:10.1109/apmc.2000.925848 fatcat:65noedpcordmpdolrglduizrzu