论文信息 - Estimating errors in design sensitivities

Estimating errors in design sensitivities

Design sensitivities are useful quantities that may be efficiently computed by finite element analysis, from the field solution and its adjoint. However, the computed sensitivities are subject to discretization error. A method is described for the a posteriori estimation of this error, making use of the properties of hierarchal finite elements. The method is applied to the sensitivities of microwave scattering parameters, computed with three-dimensional tetrahedral elements. Results for a waveguide filter, a waveguide transformer, and a magic T demonstrate the quality of the estimator

J. P. Webb | D. Nair | J.P. Webb | D. Nair

[1] Rolf Rannacher,et al. An optimal control approach to a posteriori error estimation in finite element methods , 2001, Acta Numerica.

[2] J. P. Webb. Using adjoint solutions to estimate errors in global quantities , 2005, IEEE transactions on magnetics.

[3] S. Gitosusastro,et al. Performance derivative calculations and optimization process , 1989 .

[4] J. P. Webb. Hierarchal vector basis functions of arbitrary order for triangular and tetrahedral finite elements , 1999 .

[5] Ralf Beyer,et al. Automated design of waveguide components using hybrid mode-matching/numerical EM building-blocks in optimization-oriented CAD frameworks-state of the art and recent advances , 1997 .

[6] A. Bondeson,et al. Goal-oriented error estimation and h-adaptivity for Maxwell's equations , 2003 .

[7] J. P. Webb,et al. An Error Estimator for Design Sensitivities of Microwave Device Parameters , 2002 .

[8] F. Arndt,et al. Fast CAD and optimization of waveguide components and aperture antennas by hybrid MM/FE/MoM/FD methods-state-of-the-art and recent advances , 2004, IEEE Transactions on Microwave Theory and Techniques.