“Mixed” systems of algebraic equations in computational electromagnetism

Abstract

Discusses some general algorithmic problems encountered when solving linear systems in electromagnetism, such as, e.g. the well‐known difficulties linked with the curl‐curl operator in discrete form. The problem is examined as part of a larger one: solving “mixed” (or as we prefer to say, “constrained”) linear systems, with Lagrange multipliers, for which available strategies are reviewed. It is shown that dealing with the mixed system directly, without first getting rid of multipliers, can be a viable proposition.

Citation

Bossavit, A. (1998), "“Mixed” systems of algebraic equations in computational electromagnetism", COMPEL - The international journal for computation and mathematics in electrical and electronic engineering, Vol. 17 No. 1, pp. 59-63. https://doi.org/10.1108/03321649810369302