5 papers
Finite Volume Element Method on Curved-Edge Meshes
Xiaoxiao Chen, Zexi Hu, Zhiming Gao +3
This paper proposes and analyzes a high-order finite volume element method on curved-edge quadrilateral meshes for elliptic equations. Unlike existing theories, which are primarily…
New superconvergent structures developed from the finite volume element method in 1D
Xiang Wang, Junliang Lv, Yonghai Li
New superconvergent structures are introduced by the finite volume element method (FVEM), which allow us to choose the superconvergent points freely. The general orthogonal conditi…
An Adaptive Finite Element DtN Method for Maxwell's Equations in Biperiodic Structures
Xue Jiang, Peijun Li, Junliang Lv +3
Consider the diffraction of an electromagnetic plane wave by a biperiodic structure where the wave propagation is governed by the three-dimensional Maxwell equations. Based on tran…
Convergence of the PML solution for elastic wave scattering by biperiodic structures
Xue Jiang, Peijun Li, Junliang Lv +1
This paper is concerned with the analysis of elastic wave scattering of a time-harmonic plane wave by a biperiodic rigid surface, where the wave propagation is governed by the thre…
An adaptive finite element PML method for the elastic wave scattering problem in periodic structures
Xue Jiang, Peijun Li, Junliang Lv +1
An adaptive finite element method is presented for the elastic scattering of a time-harmonic plane wave by a periodic surface. First, the unbounded physical domain is truncated int…