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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.

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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 Paper
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.
Funding AgencyGrant Number
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
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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, (
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:104110
Deposited By: Tony Diaz
Deposited On:29 Jun 2020 15:19
Last Modified:15 Jan 2021 22:35

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