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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Projects
- 1 Active
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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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A Model of the Spread of a Disease Through a Population with Different Age Groups
Harris, P. & Bodmann, B., 13 May 2024, Exact and Approximate Solutions for Mathematical Models in Science and Engineering. Constanda, C., Harris, P. & Bodmann, B. (eds.). Birkhäuser, p. 73-94 22 p. (Trends in Mathematics).Research output: Chapter in Book/Conference proceeding with ISSN or ISBN › Conference contribution with ISSN or ISBN › peer-review
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Exact and Approximate Solutions for Mathematical Models in Science and Engineering
Constanda, C. (Editor), Harris, P. (Editor) & Bodmann, B. (Editor), 13 Jul 2024, Cham, Switzerland: Birkhäuser. 189 p. (Trends in Mathematics)Research output: Book/Report › Book - edited › peer-review
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On Spectroscopy of Sampled Signals Using the Hilbert Transform
Bodmann, B. & Harris, P., Jul 2024, Exact and Approximate Solutions for Mathematical Models in Science and Engineering. Constanda, C., Harris, P. & Bodmann, B. (eds.). Cham, Switzerland: Birkhäuser, p. 1-19 20 p. (Trends in Mathematics).Research output: Chapter in Book/Conference proceeding with ISSN or ISBN › Conference contribution with ISSN or ISBN › peer-review
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A mathematical model of cell movement and clustering due to chemotaxis
Farmer, A. & Harris, P., 16 Oct 2023, In: Journal of Theoretical Biology. 575, 8 p., 111646.Research output: Contribution to journal › Article › peer-review
Open AccessFile -
A mathematical model for simulating the spread of a disease through a country divided into geographical regions with different population densities
Harris, P. & Bodmann, B., 17 Sept 2022, In: Journal of Mathematical Biology. 85, 4, 20 p., 32 (2022).Research output: Contribution to journal › Article › peer-review
Open AccessFile