Asymptotic convergence in finite and boundary element methods: part 2: The LBB constant for rigid and elastic scattering problems

AbstractThe paper is a continuation of [1] and contains the evaluation of the (exact) LBB constant, in terms of the wave number, for typical problems (all with spherical geometry) in elastic scattering. Solutions to the problem of scattering of a plane wave on an elastic spherical shell, for different wave numbers, illustrate the dramatic effect of the magnitude of the LBB constant on the convergence