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This paper is concerned with the computation of 3D vertex singularities of anisotropic elastic fields with Dirichlet boundary conditions, focusing on the derivation of error estimates for a finite element method on graded meshes. The singularities are described by eigenpairs of a corresponding operator pencil on spherical polygonal domains. The main idea is to introduce a modified quadratic variational boundary eigenvalue problem which consists of two self-adjoint, positive definite sesquilinear...
This paper is concerned with the computation of 3D vertex
singularities of anisotropic elastic fields with Dirichlet boundary
conditions, focusing on the derivation of error estimates for
a finite element method on graded meshes. The singularities are
described by eigenpairs of a corresponding operator pencil on
spherical polygonal domains. The main idea is to introduce a
modified quadratic variational boundary eigenvalue problem which
consists of two self-adjoint, positive definite sesquilinear...
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