An adjoint enhanced reduced-order model for monostatic RCS computation

Electromagnetics

Volumn 28, Issue 1-2, 2008, Pages 54-76

  Ledger, P D ^a   Morgan, K ^a  

^a SWANSEA UNIVERSITY   (United Kingdom)

Author keywords

Edge elements; Electromagnetic scattering; Hp finite elements; Radar cross section; Reduced order model

Indexed keywords

APPROXIMATION ALGORITHMS; FINITE ELEMENT METHOD; MATHEMATICAL MODELS; NUMERICAL METHODS; RADAR CROSS SECTION; THREE DIMENSIONAL;

EDGE ELEMENTS; NUMERICAL EXAMPLES; REDUCED ORDER MODELS;

ELECTROMAGNETIC WAVE SCATTERING;

EID: 39749152733     PISSN: 02726343     EISSN: 1532527X     Source Type: Journal    
DOI: 10.1080/02726340701818063     Document Type: Conference Paper

References (28)

1. Ainsworth, M. 2004. Discrete properties of high order Nédélec/edge element approximation of the time-harmonic Maxwell equations. Philo. Trans. Roy. Soe. Ser. A 362:471-493.
2. Ainsworth, M., & J. Coyle. 2001. Hierarchic hp-edge element families for Maxwell's equations on hybrid quadrilateral/triangular meshes. Comp. Meth. Appl. Mech. Eng. 190:6709-6733.
3. Ainsworth, M., & J. Coyle. 2003. Hierarchic finite element basis on unstructured tetrahedral meshes. Int. J. Numer. Meth. Eng. 58:2103-2130.
4. Berenger, J.-P. 1994. A perfectly matched layer for the absorption of electromagnetic waves. J. Comput. Phys. 114:185-200.
5. Cohen, G. C. 2002. Higher order numerical methods for transient wave equations. Berlin, Heidelberg, New York: Springer.
6. Demkowicz, L., & W Rachowicz. 1998. A 2D hp adaptive finite element package for electromagnetics. Technical Report, TICAM Report 98-15, University of Texas at Austin.
7. Demkowicz, L., & L. Vardapetyan. 1998. Modeling of electromagnetic/scattering problems using hp-adaptive finite elements. Comp. Meth. Appl. Mech. Eng. 152:103-124.
8. Ledger, P. D. 2002. An hp-Adaptive Finite Element Procedure for Electromagnetic Scattering Problems. Ph.D. Thesis, University of Wales, Swansea, United Kingdom.
9. Ledger, P. D., & K. Morgan. 2005. The application of the hp-finite element method to electromagnetic problems. Arch. Comput. Meth. Sci. Eng. 12:235-302.
10. Ledger, P. D., K. Morgan, & O. Hassan. 2007. Electromagnetic scattering simulation using an H(curl) conforming hp finite element method in three dimensions. Int. J. Numer. Meth. Fluids 53:1267-1296.
11. Ledger, P. D., K. Morgan, O. Hassan, & N. P. Weatherill. 2002. Arbitrary order edge elements for electromagnetic scattering simulations using hybrid meshes and a PML. Int. J. Numer. Meth. Eng. 55:339-358.
12. Ledger, P. D., J. Peraire, K. Morgan, O. Hassan, & N. P. Weatherill. 2003. Adaptive hp finite element computations of the scattering width output of Maxwell's equations. Int. J. Numer. Meth. Fluids 43:953-978.
13. Ledger, P. D., J. Peraire, K. Morgan, O. Hassan, & N. P. Weatherill. 2004. Parameterised electromagnetic scattering solutions for a range of incident wave angles. Comp. Meth. Appl. Mech. Eng. 193:3587-3605.
14. Lui, S. H. 1997. Computation of pseudospectraby continuation. SIAM J. Sci. Comput. 18:565-573.
15. Maday, Y., A. T. Patera, & D. V. Rovas. 2001. A black box reduced-basis output method for non-coercive problems. Proceedings of the College De France Seminars Non-Linear Partial Differential Equations and Their Applications.
16. Michiels, L., Y. Maday, & A. T. Patera. 2002. Output bounds for reduced-order approximations of elliptic partial differential equations. Comp. Meth. Appl. Mech. Eng. 190:3413-3426.
17. Monk, P. 1995. The near to far field transformation. Int. J. Comput. Math. Elect. Electron. Eng. 14:41-56.
18. Monk, P. 2003. Finite element method for Maxwell's equations. Heikkola, E., Kuznetsov, Y., Neittaanmaki, P., & Pironneau, O., eds. Oxford: Oxford Science Publications.
19. Monk, P., & E. Suli. 1998. The adaptive computation of far field patterns by a posteriori error estimation of linear functionals. SIAM J. Numer. Anal. 36:251-274.
20. Morgan, K., P. D. Ledger, O. Hassan, N. P. Weatherill, & J. Peraire. 2003. Edge elements for 2D electromagnetic scattering simulations. In Numerical methods for scientific computing. Variational problems and applications, 139-152. Barcelona: CIMNE.
21. Nédélec, J. C. 1978. Computation of eddy currents on a surface in R3 by finite element methods. SIAM J. Numer. Anal. 15:580-594.
22. 3. Numer. Math. 35:315-341.
23. 3. Numer. Math. 50:57-81.
24. Parott, K., & P. Monk. 2001. Phase accuracy and improved farfield estimates for 3-D edge elements on tetrahedral meshes. J. Comput. Phys. 170:614-641.
25. Rachowicz, W., & L. Demkowicz. 2002. A three-dimensional hp adaptive finite element package for electromagnetics. Int. J. Numer. Meth. Eng. 53:147-180.
26. Rachowicz, W., & A. Zdunek. 2005. An hp adaptive finite element method for scattering problems in electromagnetics. Int. J. Numer. Meth. Eng. 62:1226-1249.
27. Weatherill, N. P., & O. Hassan. 1994. Efficient three-dimensional Delaunay triangulation with automatic point creation and imposed boundary conditions. Int. J. Numer. Meth. Eng. 37:2005-2039.
28. Zdunek, A., & W. Rachowicz. 2005. A goal orientated hp adaptive finite element approach to radar scattering problems. Comp. Meth. Appl. Mech. Eng. 194:657-674.