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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.

Education/Academic qualification

PhD, University of Plymouth

Fingerprint Fingerprint is based on mining the text of the person's scientific documents to create an index of weighted terms, which defines the key subjects of each individual researcher.

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

Research Output 2001 2018

  • 16 Article
  • 6 Conference contribution with ISSN or ISBN
  • 5 Chapter
Boundary Integral Method
Viscous Fluid
Cells
Fluids
Motion

A simple mathematical model of cell clustering by chemotaxis

Harris, P. 16 Oct 2017 294, p. 62-70 9 p.

Research output: Contribution to journalArticle

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, Vol. 2, p. 275-283 9 p.

Research output: Chapter in Book/Report/Conference proceedingChapter

Mathematical Models of Cell Clustering Due to Chemotaxis

Harris, P. 9 Sep 2017 Integral Methods in Science and Engineering. Constanda, C., Dalla Riva, M., Lamberti, P. D. & Musolino, P. (eds.). Cham, Vol. 2, p. 97-104 8 p.

Research output: Chapter in Book/Report/Conference proceedingChapter

Cell membranes
Mathematical models
Cells
Equations of motion
Experiments

Mathematical Modelling

Elliott, N. S. J. & Harris, P. 1 Mar 2014 Syringomyelia: A Disorder of CSF Circulation. Flint, G. & Rusbridge, C. (eds.). Berlin Heidelberg, p. 102-116 15 p.

Research output: Chapter in Book/Report/Conference proceedingChapter