26 citations · 30 across the 5 of their papers we have counts for
5 papers
A simple low-degree optimal finite element scheme for the elastic transmission eigenvalue problem
Yingxia Xi, Xia Ji, Shuo Zhang
The paper presents a finite element scheme for the elastic transmission eigenvalue problem written as a fourth order eigenvalue problem. The scheme uses piecewise cubic polynomials…
A high accuracy nonconforming finite element scheme for Helmholtz transmission eigenvalue problem
Yingxia Xi, Xia Ji, Shuo Zhang
In this paper, we consider a cubic nonconforming finite element scheme which does not correspond to a locally defined finite element with Ciarlets triple but ad…
A lowest order mixed finite element method for the elastic transmission eigenvalue problem
Yingxia Xi, Xia Ji
The goal of this paper is to develop numerical methods computing a few smallest elastic interior transmission eigenvalues, which are of practical importance in inverse elastic scat…
Direct sampling methods for inverse elastic scattering problems
Xia Ji, Xiaodong Liu, Yingxia Xi
We consider the inverse elastic scattering of incident plane compressional and shear waves from the knowledge of the far field patterns. Specifically, three direct sampling methods…
A Multi-level Mixed Element Method for the Eigenvalue Problem of Biharmonic Equation
Shuo Zhang, Yingxia Xi, Xia Ji
In this paper, we discuss approximating the eigenvalue problem of biharmonic equation. We first present an equivalent mixed formulation which admits amiable nested discretization.…