His main research concerns Mathematical analysis, Integral equation, Scattering, Electric-field integral equation and Boundary element method. His work in the fields of Mathematical analysis, such as Mellin transform, intersects with other areas such as Non-linear least squares. His study in Integral equation is interdisciplinary in nature, drawing from both Incidence, Vector field, Boundary value problem and Classical mechanics.
His research integrates issues of Grating, Geometry, Method of matched asymptotic expansions, Kondratiev wave and Wind wave in his study of Scattering. His work carried out in the field of Electric-field integral equation brings together such families of science as Simple, Mechanics and Summation equation. The concepts of his Boundary element method study are interwoven with issues in Discretization, Smoothness, Variable and Limit.
Paul A. Martin focuses on Mathematical analysis, Scattering, Integral equation, Geometry and Classical mechanics. Paul A. Martin has included themes like Boundary element method, Displacement and Wavenumber in his Mathematical analysis study. His Scattering research incorporates elements of Electromagnetic radiation, Diffraction, Acoustic wave and Multipole expansion.
His Integral equation study frequently links to adjacent areas such as Simple. His Wind wave research extends to Geometry, which is thematically connected. In his study, Reflection is inextricably linked to Mechanics, which falls within the broad field of Optics.
Paul A. Martin mostly deals with Mathematical analysis, Scattering, Classical mechanics, Geometry and Work. Mathematical analysis is closely attributed to Acoustic wave in his work. He has researched Scattering in several fields, including Cylindrical waveguide, Tube, Reflection and Multipole expansion.
The Classical mechanics study combines topics in areas such as T matrix, Acoustic wave scattering, Spherical coordinate system and Laplace transform. His Geometry study combines topics from a wide range of disciplines, such as Ring, Gravitational singularity and Hyperbolic partial differential equation. His Work research includes elements of Concentric, Displacement, Algebraic equation, Bubble and Division.
Mathematical analysis, Classical mechanics, Scattering, Helmholtz equation and Acoustic wave scattering are his primary areas of study. His Mathematical analysis and Wave equation, Exact solutions in general relativity, Separation of variables, Limit and Jacobi polynomials investigations all form part of his Mathematical analysis research activities. His Classical mechanics study incorporates themes from T matrix, Laplace transform, Radiative transfer and Algebra.
His research in Scattering intersects with topics in Conformal map, Field, Cylinder, Wave function and Rayleigh scattering. His Helmholtz equation research is multidisciplinary, relying on both Robin boundary condition, Free boundary problem, Mixed boundary condition and Perturbation theory. The study incorporates disciplines such as Computational physics, Cluster, Cross section, Scattering cross-section and Series in addition to Acoustic wave scattering.
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Multiple Scattering: Interaction of Time-Harmonic Waves with N Obstacles
Paul A. Martin.
The method of fundamental solutions for scattering and radiation problems
Graeme Fairweather;Andreas Karageorghis;P.A. Martin.
Engineering Analysis With Boundary Elements (2003)
Reflection and transmission from porous structures under oblique wave attack
Robert A. Dalrymple;Miguel A. Losada;P. A. Martin.
Journal of Fluid Mechanics (1991)
On single integral equations for the transmission problem of acoustics
R. E. Kleinman;P. A. Martin.
Siam Journal on Applied Mathematics (1988)
On Boundary Integral Equations for Crack Problems
P. A. Martin;F. J. Rizzo.
Proceedings of The Royal Society A: Mathematical, Physical and Engineering Sciences (1989)
HYPERSINGULAR INTEGRALS: HOW SMOOTH MUST THE DENSITY BE?
P. A. Martin;F. J. Rizzo.
International Journal for Numerical Methods in Engineering (1996)
Multiple scattering by random configurations of circular cylinders: Second-order corrections for the effective wavenumber
Christopher Linton;P.A. Martin.
Journal of the Acoustical Society of America (2005)
Fluid-solid interaction: acoustic scattering by a smooth elastic obstacle
C. J. Luke;P. A. Martin.
Siam Journal on Applied Mathematics (1995)
Scattering of water waves by submerged plates using hypersingular integral equations
N.F. Parsons;P.A. Martin.
Applied Ocean Research (1992)
WAVE DIFFRACTION THROUGH OFFSHORE BREAKWATERS
Robert A. Dalrymple;Paul A. Martin.
Journal of Waterway Port Coastal and Ocean Engineering-asce (1990)
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