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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

Award Date: 1 Feb 1990

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Research Output

  • 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 ISBNChapter

  • 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 - edited

    Open Access
    File
  • 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 journalArticle

    Open Access
    File
  • 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 ISBNChapter