Research Output 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 numercial methods (such the boundary element method and finite element method) to solve problems in applied mathematics.
PhD projects that I am intested 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, University of Plymouth
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Network
Recent external collaboration on country level. Dive into details by clicking on the dots.
Research Output 2001 2019
A Combined Boundary Element And Finite Element Model Of Cell Motion Due To Chemotaxis
Harris, P., 19 Jul 2019, Integral Methods in Science and Engineering: Analytic treatment and Numerical Approximations. Constanda, C. & Harris, P. (eds.). Birkhäuser, p. 163-172 10 p.Research output: Chapter in Book/Conference proceeding with ISSN or ISBN › Chapter › Research › peer-review
Chemotaxis
Finite Element Model
Boundary Elements
Fluids
Motion
Integral Methods in Science and Engineering: Analytical Treatment and Numerical Approximations
Constanda, C. (ed.) & Harris, P. (ed.), Aug 2019, Birkhäuser. 478 p.Research output: Book/Report › Book - edited › Research › peer-review
Modelling the motion of clusters of cells in a viscous fluid using the boundary integral method
Harris, P., 26 Sep 2018, In : Mathematical Biosciences.Research output: Contribution to journal › Article › Research › peer-review
Boundary Integral Method
Viscous Fluid
Cells
Fluids
Motion
A simple mathematical model of cell clustering by chemotaxis
Harris, P., 16 Oct 2017, In : Mathematical Biosciences. 294, p. 62-70 9 p.Research output: Contribution to journal › Article › Research › peer-review
Open Access
File
mathematical models
cells
Runge-Kutta method
equations of motion
differential equations
Development of a Poroelastic Model of Spinal Cord Cavities
Venton, J., Harris, P. & Phillips, G., 17 Oct 2017, Integral Methods in Science and Engineering. Constanda, C., Dalla Riva, M., Domenico Lamberti, P. & Musolino, P. (eds.). USA: Birkhäuser, Vol. 2. p. 275-283 9 p.Research output: Chapter in Book/Conference proceeding with ISSN or ISBN › Chapter › Research