Papers by P. A. Martin in Conference Proceedings and Edited Books

  1. On the null-field equations for water-wave radiation problems. (With F. Ursell). Proc. 3rd Int. Conf. on Numerical Ship Hydrodynamics, Paris (1981) 543-550.
  2. Water-wave problems and the null-field method. In: `Treatment of Integral Equations by Numerical Methods' (ed. C.T.H. Baker & G.F. Miller) Academic Press, London (1982) 149-152.
  3. Multiple scattering of surface water waves. In: `University of Strathclyde Seminars in Applied Mathematical Analysis: Classical Scattering' (ed. G.F. Roach) Shiva Publ. Ltd., Nantwich, Cheshire (1984) 110-123.
  4. Multiple scattering of surface water waves and the null-field method. Proc. 15th Symposium on Naval Hydrodynamics, Hamburg (1984) 119-132.
  5. Null-field methods for floating cylinders whose cross-sections are elongated. Proc. 1st Int. Workshop on Water Waves and Floating Bodies, M.I.T. (1986) 87-88; disc. 89-91.
  6. Single integral equations for scattering by a penetrable obstacle. (With R.E. Kleinman). In: `Advanced Boundary Element Methods' (ed. T.A. Cruse) Springer-Verlag, Berlin (1988) 207-213.
  7. Oscillating immersed plates and hypersingular integral equations. Proc. 3rd Int. Workshop on Water Waves and Floating Bodies, Woods Hole, MA (1988) 117-119; disc. 119.
  8. Water wave scattering by rows of circular cylinders. (With R.A. Dalrymple & S.N. Seo). Proc. 21st Int. Coastal Engineering Conf., Torremolinos (1988) 2216-2228.
  9. Single integral equations for scattering of elastic waves by an elastic inclusion. In: `Elastic Wave Propagation' (ed. M.F. McCarthy & M.A. Hayes) North-Holland, Amsterdam (1989) 387-391.
  10. On the computation and excitation of trapping modes. Proc. 4th Int. Workshop on Water Waves and Floating Bodies, Oystese, Norway (1989) 145-147; disc. 148.
  11. Thin interface layers: adhesives, approximations and analysis. In: `Elastic Waves and Ultrasonic Nondestructive Evaluation' (ed. S.K. Datta, J.D. Achenbach & Y.S. Rajapakse) North-Holland, Amsterdam (1990) 217-222.
  12. Oscillating immersed plates and hypersingular integral equations, II. Proc. 5th Int. Workshop on Water Waves and Floating Bodies, Manchester (1990) 114-117; disc. 118.
  13. Scattering of elastic waves by inclusions with thin interface layers. In: `Direct and Inverse Boundary Value Problems' (ed. R. Kleinman, R. Kress & E. Martensen) Peter Lang Verlag, Bern (1991) 161-168.
  14. Ursell's multipoles and the Rayleigh hypothesis. Proc. 6th Int. Workshop on Water Waves and Floating Bodies, Woods Hole, MA (1991) 163-166; disc. 167.
  15. Asymptotic study of scattering frequencies for a coupled system. (With C. Luke). Proc. 7th Int. Workshop on Water Waves and Floating Bodies, Val de Reuil, France (1992) 165-168; disc. 169.
  16. Interaction of water waves with thin plates. (With N.F. Parsons). Proc. 7th Int. Workshop on Water Waves and Floating Bodies, Val de Reuil, France (1992) 227-230; disc. 231.
  17. Trapped modes above a submerged flat plate. (With N.F. Parsons). Proc. 8th Int. Workshop on Water Waves and Floating Bodies, St. John's, Newfoundland (1993), vol. 1, 113-116; disc., vol. 2, 56-57.
  18. Boundary integral equations for bodies of small, but finite, thickness. (With F.J. Rizzo). Proc. 8th Int. Workshop on Water Waves and Floating Bodies, St. John's, Newfoundland (1993), vol. 1, 91-94; disc., vol. 2, 44-45.
  19. Elastodynamic inverse obstacle scattering. (With G. Dassios). In: `2nd Int. Conf. on Mathematical and Numerical Aspects of Wave Propagation' (ed. R. Kleinman, T. Angell, D. Colton, F. Santosa & I. Stakgold) SIAM, Philadelphia (1993) 330-337.
  20. Electromagnetic scattering modeling using boundary element methods. (With J. Chao, Y.J. Liu, F. Rizzo and L. Udpa). Proc. 2nd Annual Midwest Electro-Technology Conference, Ames, IA (1993) 126-129.
  21. Electromagnetic wave scattering: a modern boundary element approach for NDE applications. (With J. Chao, Y.J. Liu, L. Udpa and F.J. Rizzo). In: `Review of Progress in Quantitative Nondestructive Evaluation' (ed. D.O. Thompson & D.E. Chimenti) Plenum Press, New York. 13 (1994) 661-668.
  22. Some hydrodynamic applications of hypersingular boundary integral equations. (With N.F. Parsons and L. Farina). Proc. 2nd ACME Conference, Computational Mechanics in U.K. - 1994, Manchester (1994) 151-154.
  23. Some applications of the Mellin transform to asymptotics of series. In: `Inverse Scattering and Potential Problems in Mathematical Physics' (ed. R.E. Kleinman, R. Kress & E. Martensen) Peter Lang Verlag, Frankfurt (1995) 129-140.
  24. Multiple scattering: an invitation. In: `3rd Int. Conf. on Mathematical and Numerical Aspects of Wave Propagation' (ed. G. Cohen, E. Becache, P. Joly & J.E. Roberts) SIAM, Philadelphia (1995) 3-16.
  25. Another look at wide-spacing approximations for three-dimensional multiple scattering problems. Proc. 10th Int. Workshop on Water Waves and Floating Bodies, Oxford (1995) 159-162; disc. 163.
  26. Interaction of water waves with floating and submerged circular plates. (With L. Farina). Proc. 10th Int. Workshop on Water Waves and Floating Bodies, Oxford (1995) 51-54; disc. 55-56.
  27. Exact Green's functions and the boundary element method. (With F.J. Rizzo, L. Pan and D. Zhang). In: `Boundary Elements XVII' (ed. C.A. Brebbia, S. Kim, T.A. Osswald & H. Power), Computational Mechanics Publications, Southampton (1995) 19-26.
  28. On the radiation of water waves by oscillating submerged plates. (With L. Farina). In: `Developments in Mechanics', vol. 18 (Proc. 24th Midwestern Mechanics Conference) (ed. T.J. Rudolphi & L.W. Zachary), Ames, IA (1995) 147-149.
  29. Boundary elements and a Green's function library. (With F.J. Rizzo and R.A. Roberts). In: `Green's Functions and Boundary Element Analysis for Modeling of Mechanical Behavior of Advanced Materials' (NIST Special Publication 910) (ed. J.R. Berger & V.K. Tewary), National Institute of Standards and Technology (1996) 101-111.
  30. Interaction of water waves with thin plates. (With N.F. Parsons and L. Farina). In: `Mathematical Techniques for Water Waves' (ed. B.N. Mandal), Advances in Fluid Mechanics, vol. 8, Computational Mechanics Publications, Southampton (1997) 197-229.
  31. Parabolic modelling of water waves. (With R.A. Dalrymple and J.T. Kirby). In: `Gravity Waves in Water of Finite Depth' (ed. J.N. Hunt), Advances in Fluid Mechanics, vol. 10, Computational Mechanics Publications, Southampton (1997) 169-213.
  32. Diffraction by non-planar cracks. In: `4th Int. Conf. on Mathematical and Numerical Aspects of Wave Propagation' (ed. J.A. DeSanto) SIAM, Philadelphia (1998) 102-106.
  33. Some negative results on the use of Helmholtz integral equations for rough-surface scattering. (With J.A. DeSanto). In: `Mathematical Methods in Scattering Theory and Biomedical Technology' (ed. G. Dassios, D.I. Fotiadis, C.V. Massalas & K. Kiriaki), Pitman Research Notes in Maths 390, Addison Wesley Longman, Harlow (1998) 33-44.
  34. On the added mass of wrinkled discs. In: `EMAC '98, 3rd Biennial Engineering Mathematics and Applications Conference' (ed. E.O. Tuck & J.A.K. Stott), Institution of Engineers, Australia (1998) 351-354.
  35. Scattering by inclusions. In: `Analytical and Computational Methods in Scattering and Applied Mathematics' (ed. F. Santosa & I. Stakgold), Research Notes in Mathematics 417, Chapman & Hall/CRC Press, Boca Raton (2000) 209-216.
  36. Water waves in a simple inlet and bay system. (With R.A. Dalrymple and I.J. Losada). In: `Coastal Structures '99', vol. 1 (ed. I.J. Losada), A.A. Balkema, Rotterdam (2000) 101-106.
  37. Waves in wood: elastic waves in cylindrically orthotropic materials. (With J.R. Berger). In: `5th Int. Conf. on Mathematical and Numerical Aspects of Wave Propagation' (ed. A. Bermudez, D. Gomez, C. Hazard, P. Joly & J.E. Roberts) SIAM, Philadelphia (2000) 182-186.
  38. Torsional waves in composite co-axial cylinders with imperfect interfaces. (With J.R. Berger and S.J. McCaffery). In: `5th Int. Conf. on Mathematical and Numerical Aspects of Wave Propagation' (ed. A. Bermudez, D. Gomez, C. Hazard, P. Joly & J.E. Roberts) SIAM, Philadelphia (2000) 389-393
  39. A boundary element investigation of the potential boundary determination. (With D. Lesnic and J.R. Berger). In: `Third UK Conference on Boundary Integral Methods' (ed. P.J. Harris) University of Brighton Press (2001) 47-56.
  40. Waves in wood. (With J.R. Berger). In: `IUTAM Symposium on Diffraction and Scattering in Fluid Mechanics and Elasticity' (ed. I.D. Abrahams, P.A. Martin and M.J. Simon) Kluwer, Dordrecht (2002) 337-344.
  41. Scattering by inhomogeneities. In: `Mathematical and Numerical Aspects of Wave Propagation (WAVES 2003)' (ed. G.C. Cohen, E. Heikkola, P. Joly and P. Neittaanmaki) Springer-Verlag, Berlin (2003) 233-238.
  42. Fundamental solutions and functionally graded materials. In: `Integral Methods in Science and Engineering' (ed. C. Constanda, M. Ahues and A. Largillier) Birkhauser, Boston (2004) 123-131.
  43. On the scattering of spherical electromagnetic waves by a penetrable chiral obstacle. (With C. Athanasiadis, A. Spyropoulos and I.G. Stratis). In: `Advances in Scattering and Biomedical Engineering' (ed. D.I. Fotiadis and C.V. Massalas) World Scientific, New Jersey (2004) 34-43.
  44. A long-wave multiple scattering theory. (With C.M. Linton). Proc. 20th Int. Workshop on Water Waves and Floating Bodies, Longyearbyen, Spitsbergen, Norway (2005) 4 pages.
  45. A long-wave multiple scattering theory. (With C.M. Linton and I. Thompson). Proc. 7th Int. Conf. on Mathematical and Numerical Aspects of Wave Propagation, Brown University, Providence (2005) 139-141.
  46. On the T-matrix for scattering by a small obstacle. Proc. 7th Int. Conf. on Mathematical and Numerical Aspects of Wave Propagation, Brown University, Providence (2005) 173-175.
  47. Effect of non-linear interface kinetics on coarsening phenomena. (With M. Upmanyu and A.D. Rollett). arXiv:0704.2118v1, April 2007. 4 pages.

Last modified: 18th July 2007

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