### Dr Paul Harris

Reader

**contact:**

Computing, Engineering and Mathematics

Moulsecoomb

Brighton

BN2 4GJ

Telephone: +44 (0)1273 642533

Email: P.J.Harris@brighton.ac.uk

### Personal web page

### Research

Paul is a member of the Computational Mathematics Group

### Publications

- K. Chen and P. J. Harris,
*On efficient preconditioners for iterative solution of a Galerkin boundary element equation for the three dimensional exterior Helmholtz problem*, The Journal of Computational and Applied Mathematics, 156, pp. 303-318, 2003. - H. Wang, P. J. Harris, R. Chakrabarti and D. Henwood,
*Modelling transient acoustic radiation using the retarded potential integral equation method*, Proc. Third UK Conference on Boundary Integral Methods (ed. S. Amini), University of Salford, pp. 57-66, 2003. - P. J. Harris,
*An investigation into the use of the boundary integral method to model the motion of a single gas or vapour bubble in a liquid*, Proc. 4th UK Conference on Boundary Integral Methods (ed. S. Amini), University of Salford, pp. 37-46, 2003. - K. Chen, S. Hawkins and P. J. Harris,
*Easily inverted approximation type preconditioners for matrices arising from wavelet discretisations of boundary integral equations*, Proc. Third UK Conference on Boundary Integral Methods (ed. S. Amini), University of Salford, pp. 165-174, 2003. - P. J. Harris and K. Chen,
*A discontinuous linear boundary element method for solving the three-dimensional exterior Helmholtz problem*, Proc. Third UK Conference on Boundary Integral Methods (ed. S. Amini), University of Salford, pp. 57-66, 2003. - P. J. Harris,
*An investigation into the use of the boundary integral method to model the motion of a single gas or vapour bubble in a liquid*, Engineering Analysis with Boundary Elements, 28, Issue 4, pp. 325-332, 2004. - P. J. Harris, W. K. Soh and H. Al-Awadi,
*An investigation into the effects of heat transfer on the motion of a spherical bubble*ANZAM J 45, pp. 361-371, 2004. - P. J. Harris, H. Wang, R. Chakrabarti and D. Henwood,
*A method for modelling non-harmonic periodic acoustic radiation from a loudspeaker*, Proceedings of 7th Integral Methods in Science and Engineering 2002, Ed. C. Constanda, Birkhauser, Boston, 2004. - Harris P.J., Wang H., Chakrabarti R. and Henwood D:
*Stability analysis of a collocation method for solving the retarded potential integral equation.*Journal of Computational Acoustics, Vol 13, No. 2, 287-299, 2005 - Harris P.J., Chappell D.J., Henwood D. and Chakrabarti R:
*On the significance of fluid-structure coupling for non-harmonic periodic acoustic radiation. Advances in Boundary Integral Methods*, Liverpool, 52-63, 2005. - Chappell D.J., Harris P.J., Henwood D. and Chakrabarti R.:
*A stable boundary integral equation method for modelling transient acoustic radiation*. Journal of the Acoustical Society of America,Vol 120 (1), 74-80, 2006

Publications from the document repository

**20**.

Harris, P.J. (2011) *On methods for evaluating a class of highly oscillatory integral* In: Proceedings of the 8th UK Conference on Boundary Integral Methods, 4-5 July, 2011, University of Leeds, UK.

Harris, P.J. and Hardwidge, C (2010) *A porous finite element model of the motion of the spinal cord* In: Tenth International Conference on Integral Methods in Science and Engineering, 7-10 July 2008, Santander, Spain.

Harris, Paul J. and Chen, Ke (2009) *An efficient method for evaluating the integral of a class of highly oscillatory functions* Journal of Computational and Applied Mathematics, 230 (2). pp. 433-442. ISSN 0377-0427

Chappell, D. and HARRIS, PAUL (2009) *On the choice of coupling parameter in the time domain Burton and Miller formulation* Quarterly Journal of Mechanics and Applied Mathematics, 62 (4). pp. 431-450. ISSN 0033-5614

Chappell, D. and Harris, P.J. (2009) *A Burtonâ€“Miller inverse boundary element method for near-field acoustic holography* The Journal of the Acoustical Society of America, 126 (1). pp. 149-157. ISSN 0001-4966

Chen, K., Cheng, J. and Harris, P.J. (2009) *A new study of the Burton and Miller method for the solution of a 3D Helmholtz problem* IMA Journal of Applied Mathematics, 74 (2). pp. 163-177. ISSN 0272-4960

Harris, P.J. and Hardwidge, C (2008) *The mathematical modelling of syringomyelia* In: The Ninth International Conference on Integral Methods in Science and Engineering, July 23-27, 2006, Niagara Falls, Ontario, Canada.

Chappell, D., Harris, P.J., Henwood, D. and Chakrabarti, R. (2008) *Modelling the transient interaction of a thin elastic shell with an exterior acoustic field* International Journal for Numerical Methods in Engineering, 75 (3). pp. 275-290. ISSN 0029-5981

Chappell, D., Harris, P.J., Henwood, D. and Chakrabarti, R. (2008) *Transient acoustic radiation from a thin spherical elastic shell* In: Constanda, C. and Potapenko, S., eds. Integral Methods in Science and Engineering: Techniques and Applications. Birkhauser, Boston, pp. 47-54. ISBN 9780817646707

Wang, H., Henwood, D., Harris, P. and Chakrabarti, R. (2007) *Concerning the cause of instability in time-stepping boundary element methods applied to the exterior acoustic problem* Journal of Sound and Vibration, 305 (1-2). pp. 289-297. ISSN 0022-460X

Hawkins, S.C., Chen, K. and Harris, P.J. (2007) *On the influence of the wavenumber on compression in a wavelet boundary element method for the Helmholtz equation* International Journal of Numerical Analysis and Modeling, 4 (1). pp. 48-62. ISSN 1705-5105

Chappell, D., Harris, P., Henwood, D. and Chakrabarti, R. (2006) *A stable boundary element method for modelling transient acoustic radiation* Journal of the Acoustical Society of America, 120 (1). pp. 74-80. ISSN 0001-4966

Hawkins, S.C., Chen, K. and Harris, P.J. (2005) *An operator splitting preconditioner for matrices arising from a wavelet boundary element method for the Helmholtz equation* International Journal of Wavelets, Multiresolution and Information Processing (ijwmip), 3 (4). pp. 601-620. ISSN 0219-6913

Harris, P.J., Wang, H., Chakrabarti, R. and Henwood, D.B. (2005) *Stability analysis of a collocation method for solving the retarded potential integral equation* Journal of Computational Acoustics, 13 (2). pp. 287-299. ISSN 0218-396X

Harris, P.J., Al-Awadi, H. and Soh, W.K (2004) *An investigation into the effects of heat transfer on the motion of a spherical bubble* The ANZIAM Journal, 45 (3). pp. 361-372.

Harris, P., Wang, H., Chakrabarti, R. and Henwood, D. (2004) *A method for modelling non-harmonic periodic acoustic radiation from a loudspeaker* In: Constanda, C., Ahues, M.P. and Largillier, A.R., eds. Integral methods in science and engineering: analytic and numerical techniques. Birkhauser, Boston, USA, pp. 73-78. ISBN 9780817632281

Harris, P.J. and Chen, K. (2003) *On efficient preconditioners for iterative solution of a Galerkin boundary element equation for the three-dimensional exterior Helmholtz problem* Journal of Computational and Applied Mathematics, 156 (2). pp. 303-318. ISSN 0377-0427

Harris, P.J. (2003) *An investigation into the use of the boundary integral method to model the motion of a single gas or vapour bubble in a liquid* Engineering Analysis with Boundary Elements, 28 (4). pp. 325-332. ISSN 0955-7997

Harris, P., Wang, H., Chakrabarti, R. and Henwood, D. (2003) *Modelling transient acoustic radiation using the retarded potential integral equation method* In: Fourth UK Conference on Boundary Integral Methods, Salford, 2003.

Chen, K. and Harris, P. (2001) *Efficient preconditioners for iterative solution of the boundary element equations for the three-dimensional Helmholtz problem* Applied Numerical Mathematics, 36 (4). pp. 475-489. ISSN 0168-9274