Efficient determination of the left-eigenvectors for the Method of  Lines

Helfert, S. F.

doi:10.5194/ars-13-19-2015

Articles | Volume 13

https://doi.org/10.5194/ars-13-19-2015

© Author(s) 2015. This work is distributed under
the Creative Commons Attribution 3.0 License.

https://doi.org/10.5194/ars-13-19-2015

© Author(s) 2015. This work is distributed under
the Creative Commons Attribution 3.0 License.

Articles | Volume 13

03 Nov 2015

| 03 Nov 2015

Efficient determination of the left-eigenvectors for the Method of Lines

S. F. Helfert

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Latest update: 01 Mar 2026

Short summary

To enforce the continuity of transverse electric and magnetic fields at boundaries, rectangular matrices containing the field distribution ('right eigenvectors') have to be inverted. This can be done with left eigenvectors. Here, it is shown how the latter ones can be determined with simple matrix products from previously determined right eigenvectors. For this purpose the relation between the transverse electric and magnetic fields known from Maxwell's equations is utilized.