CaltechAUTHORS
Published September 1, 2019 | Version Submitted
Journal Article Open

Boundary integral equation methods for the elastic and thermoelastic waves in three dimensions

Creators

  • 1. ROR icon Zhejiang University
  • 2. ROR icon University of Electronic Science and Technology of China
  • 3. ROR icon California Institute of Technology

Abstract

In this paper, we consider the boundary integral equation (BIE) methods for solving the exterior Neumann boundary value problems of elastic and thermoelastic waves in three dimensions based on the Fredholm integral equations of the first kind. The innovative contribution of this work lies in the proposal of the new regularized formulations for the hyper-singular boundary integral operators (BIO) associated with the time-harmonic elastic and thermoelastic wave equations. With the help of the new regularized formulations, we only need to compute the integrals with weak singularities at most in the corresponding variational forms of the boundary integral equations. The accuracy of the regularized formulations is demonstrated through numerical examples using the Galerkin boundary element method (BEM).

Additional Information

© 2019 Elsevier B.V. Received 7 December 2018, Revised 19 May 2019, Accepted 20 May 2019, Available online 28 May 2019. The work of G. Bao is supported in part by a NSFC Innovative Group Fund (No. 11621101), an Integrated Project of the Major Research Plan of NSFC (No. 91630309), and an NSFC A3 Project (No. 11421110002). The work of L. Xu is partially supported by a Key Project of the Major Research Plan of NSFC (No. 91630205), and a NSFC Grant (No. 11771068). The authors also would like to thank the referees for their constructive comments which helped to improve the paper.

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1902.04095.pdf

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Additional details

Identifiers

Eprint ID
95811
DOI
10.1016/j.cma.2019.05.027
Resolver ID
CaltechAUTHORS:20190528-101603856

Related works

Describes
10.1016/j.cma.2019.05.027 (DOI)
https://arxiv.org/abs/1902.04095 (URL)

Funding

National Natural Science Foundation of China
11621101
National Natural Science Foundation of China
91630309
National Natural Science Foundation of China
11421110002
National Natural Science Foundation of China
91630205
National Natural Science Foundation of China
11771068

Dates

Created
2019-05-28
Created from EPrint's datestamp field
Updated
2021-11-16
Created from EPrint's last_modified field