Parallel mosaic-skeleton algorithm for the numerical solution of a three-dimensional scalar scattering problem in integral form

DOI10.1134/S0965542520050097zbMath1451.65236OpenAlexW3038764772MaRDI QIDQ2207569

M. Yu. Timofeenko, A. A. Kashirin, S. I. Smagin

Publication date: 23 October 2020

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0965542520050097

zbMATH Keywords

integral equationscattering problemincomplete cross approximationmosaic-skeleton method

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Iterative numerical methods for linear systems (65F10) Fredholm integral equations (45B05) Boundary element methods for boundary value problems involving PDEs (65N38)

Cites Work

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• Potential-based numerical solution of Dirichlet problems for the Helmholtz equation
• Numerical solution of the integral equation of the first kind with a weak singularity for the density of a simple layer potential
• GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
• On Single Integral Equations for the Transmission Problem of Acoustics

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