Parallel implementation for some applications of integral equations method

DOI10.1134/S1995080218040029zbMath1483.65211OpenAlexW2804818462WikidataQ129768304 ScholiaQ129768304MaRDI QIDQ1662761

S. L. Stavtsev, A. A. Aparinov, Alexey V. Setukha

Publication date: 20 August 2018

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1995080218040029

zbMATH Keywords

integral equationsparallel algorithmsscattering problemsvortex methodsfast matrix algorithms

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Parallel numerical computation (65Y05) Theoretical approximation of solutions to integral equations (45L05) Vortex methods applied to problems in fluid mechanics (76M23)

Related Items (5)

On the application of Mosaic-Skeleton approximations of matrices in electrodynamics problems with impedance boundary conditions ⋮ Discrete Vortices and Their Generalizations for Scattering Problems ⋮ Low Rank Structures in Solving Electromagnetic Problems ⋮ Low rank methods of approximation in an electromagnetic problem ⋮ Application of mosaic-skeleton approximations of matrices in the physical optics method for electromagnetic scattering problems

Uses Software

• ScaLAPACK

Cites Work

• Method of hypersingular integral equations in a three-dimensional problem of diffraction of electromagnetic waves on a piecewise homogeneous dielectric body
• On the convergence of a vortical numerical method for three-dimensional Euler equations in Lagrangian coordinates
• On the application of mosaic-skeleton approximations of matrices for the acceleration of computations in the vortex method for the three-dimensional Euler equations
• Mosaic-skeleton approximations
• Incomplete cross approximation in the mosaic-skeleton method
• Application of the method of incomplete cross approximation to a nonstationary problem of vortex rings dynamics
• GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
• ScaLAPACK Users' Guide

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