Numerical comparison of spectral properties of volume-integral-equation formulations

Johannes Markkanen*, Pasi Ylä-Oijala

*Corresponding author for this work

    Research output: Contribution to journalArticleScientificpeer-review

    14 Citations (Scopus)


    We study and compare spectral properties of various volume-integral-equation formulations. The equations are written for the electric flux, current, field, and potentials, and discretized with basis functions spanning the appropriate function spaces. Each formulation leads to eigenvalue distributions of different kind due to the effects of discretization procedure, namely, the choice of basis and testing functions. The discrete spectrum of the potential formulation reproduces the theoretically predicted spectrum almost exactly while the spectra of other formulations deviate from the ideal one. It is shown that the potential formulation has the spectral properties desired from the preconditioning perspective.

    Original languageEnglish
    Pages (from-to)269–275
    JournalJournal of Quantitative Spectroscopy and Radiative Transfer
    Publication statusPublished - 2016
    MoE publication typeA1 Journal article-refereed


    • Numerical modeling
    • Spectrum of integral operator
    • Volume-integral-equation


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