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Journal of Scientific Computing

Erschienen in:

01.02.2024

A Novel Boundary Integral Formulation for the Biharmonic Wave Scattering Problem

verfasst von: Heping Dong, Peijun Li

Erschienen in: Journal of Scientific Computing | Ausgabe 2/2024

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Abstract

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.

Vorheriger Artikel Numerical Methods for Fourth-Order PDEs on Overlapping Grids with Application to Kirchhoff–Love Plates

Nächster Artikel High-Order Accurate Entropy Stable Schemes for Relativistic Hydrodynamics with General Synge-Type Equation of State

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Titel: A Novel Boundary Integral Formulation for the Biharmonic Wave Scattering Problem
verfasst von: Heping Dong
Peijun Li
Publikationsdatum: 01.02.2024
Verlag: Springer US
Erschienen in: Journal of Scientific Computing / Ausgabe 2/2024
Print ISSN: 0885-7474
Elektronische ISSN: 1573-7691
DOI: https://doi.org/10.1007/s10915-023-02429-6

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