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Mathematics

D-Index
38
Citations
6456
World Ranking
2331
National Ranking
986

Overview

Paul A. Martin is a researcher affiliated with the Colorado School of Mines in the United States. Their work spans multiple domains within engineering and physics, with a primary focus on acoustic wave propagation and scattering phenomena.

Their research contributions are distributed across a variety of topics including:

  • Ultrasonics and Acoustic Wave Propagation
  • Acoustic Wave Phenomena Research
  • Numerical Methods in Engineering
  • Underwater Acoustics Research
  • Electromagnetic Scattering and Analysis
  • Seismic Waves and Analysis
  • Experimental and Theoretical Physics Studies

Paul A. Martin's main fields of study include Engineering with 29 publications and Physics and Astronomy with 15 publications. Within these broad fields, they have produced work in several subfields such as:

  • Mechanics of Materials
  • Atomic and Molecular Physics, and Optics
  • Biomedical Engineering
  • Statistical and Nonlinear Physics
  • Mathematical Physics

The researcher has published in numerous specialized venues. Frequent publication outlets include:

  • Wave Motion (5 publications)
  • Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences (3 publications)
  • Mathematical Methods in the Applied Sciences (3 publications)
  • The Journal of the Acoustical Society of America (2 publications)
  • Quarterly of Applied Mathematics (2 publications)

Notable recent papers include:

  • "Scattering by a sphere in a tube, and related problems" (2020, The Journal of the Acoustical Society of America)
  • "On blockage coefficients: flow past a body in a pipe" (2022, Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences)
  • "Dynamic response of an infinite thin plate loaded with concentrated masses" (2020, Wave Motion)
  • "On acoustic scattering of beams" (2022, Wave Motion)
  • "On Fourier-Bessel series and the Kneser-Sommerfeld expansion" (2021, Mathematical Methods in the Applied Sciences)

Collaborations have been established with several researchers, with frequent coauthors including Alexei T. Skvortsov, Leandro Fariña, Guillaume Lang, Andrew J. Hull, and Blandine Becard.

Aside from articles, Paul A. Martin has contributed to book publications, including a title published by Cambridge University Press: Time-Domain Scattering (2021).

Best Publications

  • Multiple Scattering: Interaction of Time-Harmonic Waves with N Obstacles

    Paul A. Martin

  • Reflection and transmission from porous structures under oblique wave attack

    Robert A. Dalrymple;Miguel A. Losada;P. A. Martin

  • The method of fundamental solutions for scattering and radiation problems

    Graeme Fairweather;Andreas Karageorghis;P.A. Martin

  • On single integral equations for the transmission problem of acoustics

    R. E. Kleinman;P. A. Martin

  • On Boundary Integral Equations for Crack Problems

    P. A. Martin;F. J. Rizzo

  • HYPERSINGULAR INTEGRALS: HOW SMOOTH MUST THE DENSITY BE?

    P. A. Martin;F. J. Rizzo

  • Multiple scattering by random configurations of circular cylinders: Second-order corrections for the effective wavenumber

    Christopher Linton;P.A. Martin

  • Fluid-solid interaction: acoustic scattering by a smooth elastic obstacle

    C. J. Luke;P. A. Martin

  • Scattering of water waves by submerged plates using hypersingular integral equations

    N.F. Parsons;P.A. Martin

  • WAVE DIFFRACTION THROUGH OFFSHORE BREAKWATERS

    Robert A. Dalrymple;Paul A. Martin

  • Diffraction of Elastic Waves by a Penny-Shaped Crack: Analytical and Numerical Results

    P. A. Martin;G. R. Wickham

  • Radiation of water waves by a heaving submerged horizontal disc

    P. A. Martin;Leandro Farina

  • Scattering of water waves by submerged curved plates and by surface-piercing flat plates

    N.F. Parsons;P.A. Martin

  • On Green's function for a three-dimensional exponentially graded elastic solid

    P. A. Martin;J. D. Richardson;L. J. Gray;J. R. Berger

  • ON THE NULL-FIELD EQUATIONS FOR THE EXTERIOR PROBLEMS OF ACOUSTICS

    P. A. Martin

  • Discrete scattering theory : Green's function for a square lattice

    P.A. Martin

  • Exact Solution of a Simple Hypersingular Integral Equation

    P.A. Martin

  • Boundary integral equations for the scattering of electromagnetic waves by a homogeneous dielectric obstacle

    P. A. Martin;Petri Ola

  • End-Point Behaviour of Solutions to Hypersingular Integral Equations

    P. A. Martin

  • Boundary integral equations for the scattering of elastic waves by elastic inclusions with thin interface layers

    P. A. Martin

Frequent Co-Authors

Wendy Thomson
Wendy Thomson University of Manchester
Anne Hinks
Anne Hinks University of Manchester
Soumya Raychaudhuri
Soumya Raychaudhuri Brigham and Women's Hospital
Anne Barton
Anne Barton University of Manchester
Jane Worthington
Jane Worthington University of Manchester
Robert A. Dalrymple
Robert A. Dalrymple Johns Hopkins University
Ann W. Morgan
Ann W. Morgan University of Leeds
Anthony G. Wilson
Anthony G. Wilson University College Dublin
Robert M. Plenge
Robert M. Plenge Bristol Myers Squibb
Lynne J. Hocking
Lynne J. Hocking University of Aberdeen

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