2023/01/24 by Heping Dong, Dong, Heping, Peijun Li +1 · 5 citations
Engineering · Physics and Astronomy · #Numerical methods in engineering #Electromagnetic Simulation and Numerical Methods #Electromagnetic Scattering and Analysis
paper · pdf · doi:10.48550/arxiv.2301.10142
This paper is concerned with the cavity scattering problem in an infinite thin plate, where the out-of-plane displacement is governed by the two-dimensional biharmonic wave equation. Based on an operator splitting, the scattering problem is recast into a coupled boundary value problem for the Helmholtz and modified Helmholtz equations. A novel boundary integral formulation is proposed for the coupled problem. By introducing an appropriate regularizer, the well-posedness is established for the system of boundary integral equations. Moreover, the convergence analysis is carried out for the semi- and full-discrete schemes of the boundary integral system by using the collocation method. Numerical results show that the proposed method is highly accurate for both smooth and nonsmooth examples.