New Preconditioning Techniques for Saddle Point Problems Arising from the Time-Harmonic Maxwell Equations | Zendy

Qingbing Liu | Zendy

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New Preconditioning Techniques for Saddle Point Problems Arising from the Time-Harmonic Maxwell Equations

Author(s) -

Qingbing Liu

Publication year - 2013

Publication title -

isrn applied mathematics

Language(s) - English

Resource type - Journals

eISSN - 2090-5572

pISSN - 2090-5564

DOI - 10.1155/2013/905723

Subject(s) - parameterized complexity , saddle point , discretization , maxwell's equations , mathematics , saddle , finite element method , mathematical analysis , harmonic , point (geometry) , physics , mathematical optimization , geometry , algorithm , quantum mechanics , thermodynamics

We study two parameterized preconditioners for iteratively solving the saddle point linear systems arising from finite element discretization of the mixed formulation of the time-harmonic Maxwell equations in electromagnetic problems. We establish some spectral properties of the preconditioned saddle point matrices, involving the choice of the parameter. Meanwhile, we provide some results of numerical experiments to show the effectiveness of the proposed parameterized preconditioners.

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