ℌ 2 $$\mathcal{H}^{2}$$ Matrix and Integral Equation for Electromagnetic Scattering by a Perfectly Conducting Object

DOI10.1007/978-3-319-59387-6_25zbMath1405.78011OpenAlexW2756034395MaRDI QIDQ4562639

S. L. Stavtsev

Publication date: 17 December 2018

Published in: Integral Methods in Science and Engineering, Volume 2 (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-59387-6_25

zbMATH Keywords

electromagnetic scatteringelectric field integral equationblock-tridiagonal matrixparallel direct solver

Mathematics Subject Classification ID

Computational methods for sparse matrices (65F50) Diffraction, scattering (78A45) Parallel numerical computation (65Y05) Boundary element methods applied to problems in optics and electromagnetic theory (78M15) Direct numerical methods for linear systems and matrix inversion (65F05)

Related Items (3)

Low Rank Structures in Solving Electromagnetic Problems ⋮ Low rank methods of approximation in an electromagnetic problem ⋮ The method of relocation of boundary condition for the problem of electromagnetic wave scattering by perfectly conducting thin objects

Uses Software

• MUMPS

Cites Work

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• Incomplete cross approximation in the mosaic-skeleton method
• Integral equations and sound propagation in a shallow sea
• An iterative approach to the numerical solution of the system of integral equations for boundary value problems for the scalar Helmholtz equation
• An \(O(N)\) direct solver for integral equations on the plane
• Application of the method of incomplete cross approximation to a nonstationary problem of vortex rings dynamics
• Hierarchical Matrices: Algorithms and Analysis
• Application of mosaic-skeleton approximations in the simulation of three-dimensional vortex flows by vortex segments
• GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
• Mathematical modelling of the three-dimensional boundary value problem of the discharge of the well system in a homogeneous layer
• Iterative representing set selection for nested cross approximation

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