If you made any changes in Pure these will be visible here soon.

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

Fingerprint Dive into the research topics where Paul Harris is active. These topic labels come from the works of this person. Together they form a unique fingerprint.

  • 1 Similar Profiles
boundary element method Physics & Astronomy
Boundary Elements Mathematics
Hermann Von Helmholtz Mathematics
Collocation Method Mathematics
Boundary Integral Method Mathematics
Preconditioner Mathematics
Integral Equations Mathematics
Iterative Solution Mathematics

Network Recent external collaboration on country level. Dive into details by clicking on the dots.

Research Output 2001 2019

  • 16 Article
  • 6 Chapter
  • 6 Conference contribution with ISSN or ISBN
  • 1 Book - edited

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 ISBNChapterResearchpeer-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/ReportBook - editedResearchpeer-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 journalArticleResearchpeer-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 journalArticleResearchpeer-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 ISBNChapterResearch