Professor Peter Bettess

School of Engineering, University of Durham

List of Publications during period of EPSRC Senior Research Fellowship

1st. October, 2000 to 30th September, 2004

EPSRC Grant Number: SF/000169

 

1.      Bettess P, Laghrouche O, Shirron J and Peseux B. Semi-Analytical Integration Rules for Special Wave Finite Elements. Proceedings of the Seventh International Congress on Sound and Vibration, Garmisch-Partenkirchen, Germany, 4 - 7 July 2000, pp. 2163-2170.

 

2.      Laghrouche O, Bettess P and Sugimoto R. Short Wave Scattering by Elliptical Cylinders, Proceedings of the 8th. ACME Conference, University of Greenwich, Greenwich, London, April, 2000; 70—73, ISBN 1 86166 1 50 9.

 

3.      Laghrouche O and Bettess P. Short wave modelling using special finite elements - Towards an adaptive approach, The Mathematics of Finite Elements and Applications X, edited JR Whiteman, Elsevier, Amsterdam, 2000; 181-194.

 

4.      Laghrouche O and Bettess P. Short wave modelling using special finite elements. Journal of Computational Acoustics, 8(1), pp 189-210, 2000.

 

5.      Laghrouche O, Bettess P and Sugimoto R. Analysis of the Conditioning Number of the Plane Wave Approximation for the Helmholtz Equation. Proceedings of the European Congress on Computational Methods  in  Applied  Sciences and Engineering, ECCOMAS 2000, Barcelona, Spain, 11-14 September, 2000.

 

  1. Bettess P, Peseux B and Laghrouche O. Construction de la matrice de l'element fini triangulaire a deformation plane pour l'etude des problemes a potentiel a partir de criteres de consistence. Mecanique Industrielle et Materiaux, Revue du GAMI, 52,(2):66-70, 2000.

 

  1. Reynolds D, Christie WC, Bettess P, McConnachie J, and Bull JW. Evolutionary material translation: a tool for the automatic design of low weight, low stress structures. Int. Journ. Num. Meth. Engng. 50:147-167, 2001.

 

  1. Looyeh MRE, Rados K and Bettess P. Thermochemical responses of sandwich panels to fire. Finite Elements in Analysis and Design, 37:913-927, 2001.

 

  1. Perrey-Debain E, Trevelyan J and Bettess P. Plane wave basis in BEM for short wave problems. Proceedings of the 9th. Annual ACME Conference, Birmingham, edited by Andrew H. C. Chan, ISBN 0-70442-302-2, pp 151 -154, 2001.

 

  1. Laghrouche O, Bettess P and Astley RJ. Approximating systems of plane waves for the solution of Helmholtz equation at high frequency: integration and conditioning. ECCOMAS Fluid Dynamics Conference, 2001, Swansea, Wales 4 - 7 September, 2001.

 

  1. Sugimoto R, Bettess P and Laghrouche O. Special Wave Finite and Infinite Elements for Helmholtz Equation. 17th International Congress on Acoustics, 2-7 September 2001, Rome, Italy, organised byInternational Commision for Acoustics, local organisers Associazione Italiana di Acustica, 2001 

 

  1. Laghrouche O, Bettess P and Le Houedec D. Special Finite for High Frequency Elastodynamic Problems: First Numerical Experiments. Civil-Comp, Proceedings of the Eighth International Conference on Civil and Structural Computing, editor B.H.V.Topping, Eisenstadt, Vienna, Austria, September, 2001.

 

  1. Perrey-Debain E, Trevelyan J and P. Bettess P. Using boundary elements in BEM for high frequency scattering. Third UK Conference on Boundary Element Methods, University of Brighton, 10 - 11th. September; 119 – 128, 2001

 

  1. Laghrouche O, Bettess P and Astley RJ. Modelling of short wave diffraction problems using approximating systems of plane waves. Int. Journ. Num. Meth. Engng., 54:1501-1533, 2002.

 

  1. Marckmann G, Bettess P and Peseux B, Self Designing Structures: an evolutionary rule for thickness distribution in 2D problems. Communications in Num. Meth. Engng., 18:743-755, 2002.

 

  1. Bettess P and Abram RA. Finite and infinite elements for a simple problem in quantum mechanics. Communications in Num. Meth. Engng., 18:325-334, 2002.

 

  1. Perrey-Debain E, Trevelyan J and Bettess P. New special wave boundary elements for short wave problems. Communications in Num. Meth. Engng. 18:259-268, 2002.

 

  1. Perrey-Debain E, Trevelyan J and Bettess P. Use of wave boundary elements to extend discrete methods in acoustic computations to higher frequencies. Proceedings of the Fifth World Congress on Computational Mechanics, Vienna, Austria, July, 2002, 14 pages, 2002.

 

  1. Laghrouche O, Bettess P and Trevelyan J, Plane wave basis for wave scattering in three dimensions. Proceedings 10th ACME Conference, University of Wales, Swansea, J Bonet, R Ransing and S Slijepcevic (Eds.), pp.111-114, April, 2002. ISBN 0 9542544 0 6, 2002.

 

  1. Perrey-Debain E, Trevelyan J and Bettess P. P-wave and S-wave boundary elements for scattering of elastic waves. Proceedings of  the Tenth Annual ACME Conference, University of Wales, Swansea, April, J Bonet, R Ransing and S Slijepcevic (Eds.), pp.103-106, April 2002. ISBN 0 9542544 0 6, 2002.

 

  1. Sugimoto R, Bettess P and Trevelyan J. A numerical integration scheme for special quadrilateral finite elements for the Helmholtz equation. Communications in Num. Meth. Engng., 19:233 – 245, 2003.

 

  1. Bettess P, Shirron J, Laghrouche O, Peseux B, Sugimoto R and Trevelyan J. A numerical integration scheme for special finite elements for Helmholtz equation. Int. Journ.  Num. Meth. Engng., 56:531 – 552, 2003.

 

  1. Perrey-Debain E, Trevelyan J and Bettess P. Plane wave approximation in direct collocation boundary element method for radiation and wave scattering: numerical aspects and applications. Journal of Sound and Vibration, 261(5):839 – 858, 2003.

 

  1. Sugimoto R and Bettess P. Coupling of mapped wave infinite elements and plane wave basis finite elements for the Helmholtz equation in exterior domains. Comm.  Num. Meth. Engng., 19:761 – 777, 2003. 

 

  1. Laghrouche O, Bettess P, Perrey-Debain E and Trevelyan J. Plane wave basis for wave scattering in three dimensions, Communications in Num. Meth. Engng, 19(9):715 – 723, 2003.

 

  1. Perrey-Debain E, Trevelyan J and Bettess P. P-wave and S-wave decomposition in boundary integral equation for scattering of elastic waves. Communications in Numerical Methods in Engineering, 19(12):945 – 958, 2003.

 

  1. Perrey-Debain E, Trevelyan J and Bettess P. Use of wave boundary elements to extend discrete methods in acoustic computations to higher frequencies. Journal of Computational Acoustics, 17 pages, 11(2), 305 – 321, 2003.

 

  1. Laghrouche O, Bettess P and Trevelyan J. Three dimensional plane wave basis finite elements for short wave modelling. The Sixth International Conference on Mathematical and Numerical Aspects of Wave Propagation, WAVES 2003, Jyväskylä, Finland, June 30 - July 4, 2003.

 

  1. Perrey-Debain E, Trevelyan J and Bettess P, Plane wave basis in integral equation for 3D scattering, The Sixth International Conference on Mathematical and Numerical Aspects of Wave Propagation, WAVES 2003, Jyväskylä, Finland, June 30 - July 4, 2003.

 

  1. E. Perrey-Debain, J. Trevelyan and P. Bettess, Numerical aspects of single wave basis boundary elements for acoustic scattering, UKBIM 2003 Conference, Salford, 15-16 Sept. 2003.

 

31.  Sugimoto R, Bettess P and Laghrouche O. Special Wave Finite and Infinite Elements for the Solution of the Helmholtz Equation, Proceedings of the 2003 Spring Meeting of the Acoustical Society of Japan, pp 1011 – 1012, 2003. 


 

  1. Bettess P. Special wave basis finite elements for very short wave refraction and scattering problems, Communications in Numerical Methods in Engineering, 20:291 – 298, 2004.  

 

33.  Bettess, P Laghrouche, O and Perrey-Debain E. Introduction to Theme Issue on Short Wave Scattering, Philosophical Transactions of the Royal Society of London A, 362:417 – 419, 2004.

 

34.  Bettess P. Short Wave Scattering, Problems and Techniques. Philosophical Transactions of the Royal Society of London A, 362:421 – 443, 2004.

 

35.  Perrey-Debain E, Laghrouche O, Bettess P and Trevelyan J. Plane wave basis finite elements and boundary elements for three dimensional wave scattering. Philosophical Transactions of the Royal Society of London A, 362:561 – 577, 2004.

 

  1. Perrey-Debain E, Trevelyan J and Bettess, P. Wave boundary elements: a theoretical overview presenting applications in scattering of short waves, Engineering Analysis with Boundary Elements, 28, 131 – 141, 2004.

 

  1. Perrey-Debain E, Trevelyan J and Bettess P. On wave boundary elements for radiation and scattering problems with piecewise constant impedance, to appear IEEE Transactions Antennas and Propag. Letters, 2004.

 

  1. Laghrouche O, Bettess P, Perrey-Debain E and Trevelyan J. Wave interpolation finite elements for Helmholtz problems with jumps in the wave speed. to appear Computer Methods in Applied Mechanics and Engineering, 2004.

 

  1. Perrey-Debain E, Trevelyan J and Bettess P, Use of wave boundary elements to extend discrete methods in acoustic computations to higher frequencies, Journal of Computational Acoustics, 17 pages, to appear, 2004.

 

  1. Lefeuve-Mesgouez, G, Laghrouche O, Picoux B, Le Houedec D and Bettess P, Ground vibration in the vicinity of a moving harmonic load: semi-analytical and numerical models, Journal of Sound and Vibration, submitted for publication in 2004.

 

41.  Trevelyan J, Bettess P and Perrey-Debain E. Experiments in adaptive selection of plane wave basis directions for wave boundary elements, accepted for 18th Australian Conference on Mechanics of Structures and Materials, Perth, Western Australia, 1 – 3 December, 2004. 

 

42.  Bettess P, Waves, Chapter 8 of The Finite Element Method in Fluid Dynamics, by Zienkiewicz, OC and Taylor, RL, Elsevier, to appear.

 

43.  Bettess P, Short waves, Chapter 9 of The Finite Element Method in Fluid Dynamics, by Zienkiewicz, OC and Taylor, RL, Elsevier, to appear.