A Simple Way of Applying the Calderón Preconditioner to a Finite-Element Boundary-Integral Method

The Calderón preconditioner effectively improves the convergence of the iterative solution of surface integral equations. This work presents an alternative way to apply the Calderón preconditioner to a finite-element boundary-integral system, as well as a twofold iterative solver where the finite-el...

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Bibliographic Details
Published in:IEEE transactions on antennas and propagation 2023-06, Vol.71 (6), p.1-1
Main Authors: Mao, Yiqian, Zhong, Yang, Zhan, Qiwei, Wang, Dezhi, Liu, Qing Huo
Format: Article
Language:English
Subjects:
Basis functions
Calderón multiplicative preconditioner
Convergence
domain decomposition method
Finite element method
Finite-element boundary-integral method
Integral equations
iterative method
Iterative methods
Iterative solution
Mathematical analysis
Operators (mathematics)
Subsystems
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Summary:The Calderón preconditioner effectively improves the convergence of the iterative solution of surface integral equations. This work presents an alternative way to apply the Calderón preconditioner to a finite-element boundary-integral system, as well as a twofold iterative solver where the finite-element subsystem and boundary-integral subsystem are preconditioned separately. In this approach, the finite-element domain can utilize second-order basis functions to reduce the number of unknowns required for scatterers with large dielectric constants. Numerical experiments are provided to compare the accuracy and convergence of the proposed method with the approach based on the Poincaré-Steklov operator.
ISSN:0018-926X
1558-2221
DOI:10.1109/TAP.2023.3269845