Structured eigenvalue methods for the computation of corner singularities in 3D anisotropic elastic structures

摘要

This paper is concerned with the computation of three-dimensional vertex singularities of anisotropic elastic fields. The singularities are described by eigenpairs of a corresponding operator pencil on a subdomain of the sphere. The Solution approach is to introduce a modified quadratic variational boundary eigenvalue problem which consists of two Self-adjoint, positive definite sesquilinear forms and a skew-Hermitian form. This eigenvalue problem is discretized by The finite element method.