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  1. Calculation of the Inductance of Normal Conductors and Superconductors

    Abstract

    We consider the problem of calculating the matrices of linear inductance and resistance, as well as the distribution of current and magnetic...

    M. M. Khapaev, M. Yu. Kupriyanov in Differential Equations
    Article 01 August 2022

  3. High-Frequency Estimates on Boundary Integral Operators for the Helmholtz Exterior Neumann Problem

    We study a commonly-used second-kind boundary-integral equation for solving the Helmholtz exterior Neumann problem at high frequency, where, writing ...

    J. Galkowski, P. Marchand, E. A. Spence in Integral Equations and Operator Theory
    Article Open access 17 October 2022

  4. RET of Dense Polyatomic Gas with Seven Fields

    In this chapter, we study a RET theory of dense polyatomic gases taking into account the experimental evidence that the relaxation times of molecular...
    Tommaso Ruggeri, Masaru Sugiyama in Classical and Relativistic Rational Extended Thermodynamics of Gases
    Chapter 2021

  6. RET of Dense Polyatomic Gas with Six Fields

    A RET theory of dissipative dense gases is presented. In this chapter, we study, in particular, the RET theory with six fields, where we ignore the...
    Tommaso Ruggeri, Masaru Sugiyama in Classical and Relativistic Rational Extended Thermodynamics of Gases
    Chapter 2021

  7. Applying GMRES to the Helmholtz equation with strong trap**: how does the number of iterations depend on the frequency?

    We consider GMRES applied to discretisations of the high-frequency Helmholtz equation with strong trap**; recall that in this situation the problem...

    P. Marchand, J. Galkowski, ... A. Spence in Advances in Computational Mathematics
    Article Open access 04 June 2022

  10. A Non-perturbative Approach to Computing Seismic Normal Modes in Rotating Planets

    A continuous Galerkin method based approach is presented to compute the seismic normal modes of rotating planets. Special care is taken to separate...

    Jia Shi, Ruipeng Li, ... Maarten V. de Hoop in Journal of Scientific Computing
    Article 15 April 2022

  11. On the Application of Mosaic-Skeleton Approximations of Matrices in Electrodynamics Problems with Impedance Boundary Conditions

    Abstract

    A boundary value problem for Maxwell’s equations in the frequency domain with impedance boundary conditions is considered. The problem is...

    A. V. Setukha, S. L. Stavtsev in Lobachevskii Journal of Mathematics
    Article 01 September 2023

  12. \(\mathcal {N}\)IPM-HLSP: an efficient interior-point method for hierarchical least-squares programs

    Hierarchical least-squares programs with linear constraints (HLSP) are a type of optimization problem very common in robotics. Each priority level...

    Kai Pfeiffer, Adrien Escande, Ludovic Righetti in Optimization and Engineering
    Article 03 August 2023

  13. Broadband Recursive Skeletonization

    The dense linear systems arising from the discretization of integral equations have in last few decades been rendered tractable through the...
    Abinand Gopal, Per-Gunnar Martinsson in Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2020+1
    Conference paper 2023

  17. Multiple internal resonances of rotating composite cylindrical shells under varying temperature fields

    Composite cylindrical shells, as key components, are widely employed in large rotating machines. However, due to the frequency bifurcations and dense...

    Yunfei Liu, Jun Wang, ... Fulei Chu in Applied Mathematics and Mechanics
    Article Open access 24 September 2022

  18. Periodic \(\mathrm{L}_{p}\) Estimates by ℛ-Boundedness: Applications to the Navier-Stokes Equations

    General evolution equations in Banach spaces are investigated. Based on an operator-valued version of de Leeuw’s transference principle,...

    Thomas Eiter, Mads Kyed, Yoshihiro Shibata in Acta Applicandae Mathematicae
    Article Open access 16 October 2023

  19. Fast hybrid numerical-asymptotic boundary element methods for high frequency screen and aperture problems based on least-squares collocation

    We present a hybrid numerical-asymptotic (HNA) boundary element method (BEM) for high frequency scattering by two-dimensional screens and apertures,...

    A. Gibbs, D. P. Hewett, ... E. Parolin in SN Partial Differential Equations and Applications
    Article Open access 04 August 2020

  20. Galerkin Boundary Element Methods for High-Frequency Multiple-Scattering Problems

    We consider high-frequency multiple-scattering problems in the exterior of two-dimensional smooth scatterers consisting of finitely many compact,...

    Fatih Ecevit, Akash Anand, Yassine Boubendir in Journal of Scientific Computing
    Article 16 March 2020
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