Approximation of the eigenvalue problem for the time harmonic Maxwell system by continuous Lagrange finite elements Academic Article uri icon

abstract

  • We propose and analyze an approximation technique for the Maxwell eigenvalue problem using H1-conforming finite elements. The key idea consists of considering a mixed method controlling the divergence of the electric field in a fractional Sobolev space H-α with α ∈ (1/2, 1). The method is shown to be convergent and spectrally correct. © 2011 American Mathematical Society.

author list (cited authors)

  • Bonito, A., & Guermond, J.

citation count

  • 37

publication date

  • February 2011