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[02961] An analysis of boundary variations in Laplace-Steklov eigenvalue problems

  • Session Time & Room : 2E (Aug.22, 17:40-19:20) @G402
  • Type : Contributed Talk
  • Abstract : We analyze the influence of boundary perturbations on the spectrum of Laplace-Steklov eigenvalue problems. Both the differential equation and a boundary condition involve the spectral parameter. We derive Hadamard type expressions for the variation of the eigenvalues as the problem domain deforms. Consequently, we provide the convergence characteristics of the eigenvalues on the perturbed domain as its boundary approaches to that of the unperturbed one. Numerical results are obtained using a finite element formulation.
  • Classification : 35-XX, 65-XX, FEM analysis of eigenvalues in PDEs
  • Format : Talk at Waseda University
  • Author(s) :
    • Önder Türk (Middle East Technical University)
    • Eylem Bahadır (Gebze Technical University)