Maxwell and Lam E Eigenvalues on Polyhedra

@inproceedings{Dauge2007MaxwellAL,
  title={Maxwell and Lam E Eigenvalues on Polyhedra},
  author={Monique Dauge},
  year={2007}
}
e Eigenvalues on Polyhedra Martin COSTABEL & Monique DAUGE Abstract. In a convexpolyhedron, a part of the Lam e eigenvalues with hard simple support boundary conditions does not depend on the Lam e coe cients and coincide with the Maxwell eigenvalues. The other eigenvalues depend linearly on a parameter s linked to the Lam e coe cients and the associated eigenmodes are the gradients of the Laplace-Dirichlet eigenfunctions. In a non-convexpolyhedron, such a splitting of the spectrum disappears… CONTINUE READING
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