An innovative method for fast analysis of electromagnetic problems comprising nonlinear dielectrics is proposed. The method is based on the combination of finite elements and domain decomposition methods. This latter technique allows for the separation of the problem in multiple subproblems which can be solved separately. By appropriately defining one of such subdomains as containing all the nonlinear dielectrics it is possible to restrict the application of an iterative algorithm for the numerical solution of nonlinear equations only to this latter, smaller, domain. Numerical results showing the accuracy and efficiency of this technique are presented in few 2D cases.

A Domain Decomposition Techique for Efficient Approximate Solution of Nonlinear Electromagnetic Problems / G. Guarnieri; G. Pelosi; L. Rossi; S. Selleri. - In: IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION. - ISSN 0018-926X. - STAMPA. - 58:(2010), pp. 4090-4095. ((Intervento presentato al convegno 10th International Workshop on Finite Elements for Microwave Engineering tenutosi a Meredith (NH) nel October 12-13, 2010 [10.1109/TAP.2010.2078462].

A Domain Decomposition Techique for Efficient Approximate Solution of Nonlinear Electromagnetic Problems

PELOSI, GIUSEPPE;SELLERI, STEFANO
2010

Abstract

An innovative method for fast analysis of electromagnetic problems comprising nonlinear dielectrics is proposed. The method is based on the combination of finite elements and domain decomposition methods. This latter technique allows for the separation of the problem in multiple subproblems which can be solved separately. By appropriately defining one of such subdomains as containing all the nonlinear dielectrics it is possible to restrict the application of an iterative algorithm for the numerical solution of nonlinear equations only to this latter, smaller, domain. Numerical results showing the accuracy and efficiency of this technique are presented in few 2D cases.
58
4090
4095
G. Guarnieri; G. Pelosi; L. Rossi; S. Selleri
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2158/402946
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