Abstract
A flnite element method based on the flrst order system LL ⁄ (FOSLL ⁄ ) approach is derived for time harmonic Maxwell's equations in three dimensional domains. The flnite element solution is a potential for the original fleld in a sense that the original fleld U is given by U = L ⁄ u. The Maxwellian boundary data appears as natural boundary condition. Homogeneous Dirichlet boundary conditions for the potential must be imposed, and they are circumvented with weak enforcement of boundary conditions and it is proved that the sesquilinear form of the flnite element system is elliptic in the space where the Dirichlet boundary conditions are satisfled weakly.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
