L. Demkowicz, ASYMPTOTIC CONVERGENCE IN FINITE AND BOUNDARY-ELEMENT METHODS .2. THELBB CONSTANT FOR RIGID AND ELASTIC-SCATTERING PROBLEMS, Computers & mathematics with applications, 28(6), 1994, pp. 93-109
The paper is a continuation of [1] and contains the evaluation of the
(exact) LBB constant, in terms of the wave number, for typical problem
s (all with spherical geometry) in elastic scattering. Solutions to th
e problem of scattering of a plane wave on an elastic spherical shell,
for different wave numbers, illustrate the dramatic effect of the mag
nitude of the LBB constant on the convergence.