Projects per year
Personal profile
Research interests
Applied Mathematics, numerical methods, boundary integral and element method, finite element method, mathematical biology
My research interests are in applying numerical methods to solve problems in applied mathematics. I have particular interests in finite element and boundary element methods. I have used these methods to solve problems in fluid mechanics, acoustics and biomedical applications.
Scholarly biography
Dr Paul Harris is a reader in applied mathematics whose research interests are in applying numerical methods to solve problems in applied mathematics. He has worked on a range of problems from modelling the sound field radiated by a loudspeaker to modelling deformations of the spinal cord due to changes in the cerebrospinal fluid.
Supervisory Interests
I supervise PhD students who use numerical methods (such the boundary element method and finite element method) to solve problems in applied mathematics.
PhD projects that I am interested in supervising include using combined boundary element and finite element methods for modelling the motion of biological cells due to chemotaxis, the use of the finite element method to model deformations of the spinal cord (in relation to the medical condition syringomyelia) and the use of the finite element method in image analysis (such denoising images and segmenting images).
Education/Academic qualification
PhD, 'The numerical solution of the dynamic fluid-structure interaction problem, University of Plymouth
Award Date: 1 Feb 1990
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Collaborations and top research areas from the last five years
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A biomimetic macromolecular platform for tissue healing and diagnostics at medical device interfaces: a personalised wound dressing model
Santin, M. (PI), Georgoulas, A. (CoI), Harris, P. (CoI), Crua, C. (CoI), Sarker, D. (CoI), Elsom, J. (CoI), Sandeman, S. (CoI), Forss, R. (CoI), Redhead, L. (CoI), Terrazzini, N. (CoI), Saberianpour, S. (PI), Melotto, G. (PI), Hesketh, A. (PI) & Sinha, A. (PI)
1/06/22 → 31/03/28
Project: Research Councils / Government Depts.
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Mathematical Model for the formation of spinal cord cysts
Cercignani, M. (PI), Harris, P. (CoI), Dowell, N. G. (CoI), Samira Bouyagoub (CoI) & Hardwidge, C. (CoI)
1/02/18 → 31/01/19
Project: Research
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A Finite Element Method For Modelling Diffusion Over A Curved Surface
Harris, P., 1 May 2026, Integral Methods In Science And Engineering: Study and Solutions of Mathematical Models. Constanda, C., Bodmann, B. & Harris, P. (eds.). 1 ed. Birkhäuser, p. 151-161 11 p.Research output: Chapter in Book/Conference proceeding with ISSN or ISBN › Conference contribution with ISSN or ISBN › peer-review
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A method for simulating the growth of cells on a general surface using the finite element method
Harris, P., 15 Mar 2026, In: Computer Methods in Biomechanics and Biomedical Engineering. 12 p.Research output: Contribution to journal › Article › peer-review
Open AccessFile -
Fourier Analysis of the Deformations of a Porous Viscoelastic Structure with an Application to Syringomyelia
Harris, P. & Bodmann, B., 1 Jan 2026, Integral Methods In Science And Engineering: Study and Solutions of Mathematical Models. Constanda, C., Bodmann, B. & Harris, P. (eds.). 1 ed. Cham: Birkhäuser, p. 163-172 10 p.Research output: Chapter in Book/Conference proceeding with ISSN or ISBN › Conference contribution with ISSN or ISBN › peer-review
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Integral Methods In Science and Engineering: Study and Solution of Mathematical Models
Constanda, C. (Editor), Bodmann, B. (Editor) & Harris, P. (Editor), 29 May 2026, 1 ed. Cham: Birkhäuser. 458 p.Research output: Book/Report › Book - edited › peer-review
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Mathematically Modelling Cell Cluster Formation and Substrate Mobility
Farmer, A. & Harris, P., 1 May 2026, Integral Methods In Science and Engineering: Study and Solution of Mathematical Models. Constanda, C., Bodmann, B. & Harris, P. (eds.). 1 ed. Cham: Birkhäuser, p. 137 - 150 14 p.Research output: Chapter in Book/Conference proceeding with ISSN or ISBN › Conference contribution with ISSN or ISBN › peer-review