Conforming Finite Element Approximations for a Fourth-Order Steklov Eigenvalue Problem

Table 1

Numerical eigenvalues on the square domain Ω=(0,𝜋/2)×(0,𝜋/2) using the Bogner-Fox-Schmit element.

ℎ	𝜆1,ℎ	𝜆2,ℎ	𝜆3,ℎ	𝜆4,ℎ
√2𝜋10	2.2127407	4.4166105	4.4166105	6.0842699
√2𝜋20	2.2127002	4.4162026	4.4162026	6.0819058
√2𝜋40	2.2126976	4.4161741	4.4161741	6.0817349
√2𝜋60	2.2126974	4.4161725	4.4161725	6.0817253
√2𝜋80	2.2126974	4.4161723	4.4161723	6.0817236