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A windowed Green function method for elastic scattering problems on a half-space

Bruno, Oscar P. and Yin, Tao (2021) A windowed Green function method for elastic scattering problems on a half-space. Computer Methods in Applied Mechanics and Engineering, 376 . Art. No. 113651. ISSN 0045-7825. https://resolver.caltech.edu/CaltechAUTHORS:20200629-081223570

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Abstract

This paper presents a windowed Green function (WGF) method for the numerical solution of problems of elastic scattering by “locally-rough surfaces” (i.e., local perturbations of a half space), under either Dirichlet or Neumann boundary conditions, and in both two and three spatial dimensions. The proposed WGF method relies on an integral-equation formulation based on the free-space Green function, together with smooth operator windowing (based on a “slow-rise” windowing function) and efficient high-order singular-integration methods. The approach avoids the evaluation of the expensive layer Green function for elastic problems on a half-space, and it yields uniformly fast convergence for all incident angles. Numerical experiments for both two and three dimensional problems are presented, demonstrating the accuracy and super-algebraically fast convergence of the proposed method as the window-size grows.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1016/j.cma.2020.113651DOIArticle
https://arxiv.org/abs/2006.00124arXivDiscussion Paper
ORCID:
AuthorORCID
Bruno, Oscar P.0000-0001-8369-3014
Additional Information:© 2020 Elsevier B.V. Received 29 May 2020, Revised 8 December 2020, Accepted 13 December 2020, Available online 15 January 2021. This work was supported by NSF and AFOSR under contracts DMS-1714169 and FA9550-15-1-0043, and by the NSSEFF Vannevar Bush Fellowship under ONR contract N00014-16-1-2808. The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper.
Funders:
Funding AgencyGrant Number
NSFDMS-1714169
Air Force Office of Scientific Research (AFOSR)FA9550-15-1-0043
Vannevar Bush FellowshipUNSPECIFIED
National Security Science and Engineering Faculty FellowshipN00014-16-1-2808
Subject Keywords:Elastic wave; Half-space; Windowed Green function; Boundary integral equation
Record Number:CaltechAUTHORS:20200629-081223570
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20200629-081223570
Official Citation:Oscar P. Bruno, Tao Yin, A windowed Green function method for elastic scattering problems on a half-space, Computer Methods in Applied Mechanics and Engineering, Volume 376, 2021, 113651, ISSN 0045-7825, https://doi.org/10.1016/j.cma.2020.113651. (http://www.sciencedirect.com/science/article/pii/S0045782520308367)
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:104110
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:29 Jun 2020 15:19
Last Modified:15 Jan 2021 22:35

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