MIXED SYSTEMS OF ALGEBRAIC EQUATIONS IN COMPUTATIONAL ELECTROMAGNETISM

Discusses some general algorithmic problems encountered when solving l inear systems in electromagnetism, such as, e.g. the well-known diffic ulties linked with the curl-curl operator in discrete form. The proble m is examined as part of a larger one: solving ''mixed'' (or as we pre fer to say, ''constrained'') linear systems, with Lagrange multipliers , for which available strategies are reviewed. It is shown that dealin g with the mixed system directly, without first getting rid of multipl iers, can be a viable proposition.