Summary

I have a broad interest in applied mathematics and modelling. Most my work has been about waves, instability, growth, and usually using the framework of nonlinear/linearized elasticity.

Other topics I like are industrial mathematics, seismic reflection, optimization and constitutive laws. I have recently worked on designing novel third-order automatic differentiation for large scale problems with Robert Gower.

Have a look at Media for a more colorful discussion of some of my work.

Articles in Journals

Recent

The higher the number the more recent the article. Fuel
Submitted
  1. A.L. Gower, P. Ciarletta, M. Destrade (2015a).
    Initial Stress Symmetry and Applications in Elasticity,
    ArXiv preprint, arXiv:1506.05038, 1--25.
    archive

  2. A.L. Gower, M. Destrade (2015b)
    Looking for M. Biot’s wrinkles,
    1--6,

  3. P. Ciarletta, M. Destrade, A.L. Gower (2015),
    On residual stresses and homeostasis: An elastic theory of functional adaptation in living matter,
    1--5

Published
  1. A.L. Gower (2014)
    Connecting the material parameters of soft fibre-reinforced solids with the formation of surface wrinkles,
    Journal of Engineering Mathematics,
    Special Issue on Fiber-Reinforced Materials [invited contribution]
    (to appear)
    Publisher | pdf

  2. D.R. Nolan, A.L. Gower, M. Destrade, R.W. Ogden, J.P. McGarry (2014)
    A robust anisotropic hyperelastic formulation for the modelling of soft tissue,
    Journal of the Mechanical Behavior of Biomedical Materials,
    39 48-60.
    Publisher | pdf

  3. R.M.Gower, A.L. Gower (2014)
    High order reverse automatic differentiation with emphasis on the third order,
    Mathematical Programming SERIES A
    Publisher | pdf

  4. A.L. Gower, M. Destrade, R.W. Ogden (2013)
    Counter-intuitive results in acousto-elasticity,
    Wave Motion,
    Special Issue in Honour of V.I. Alshits [invited contribution],
    50 1218-1228
    Publisher | pdf

  5. P. Ciarletta, M. Destrade, A.L. Gower (2013)
    Shear instability in skin tissue,
    Quarterly Journal of Mechanics and Applied Mathematics,
    66 273-288.
    Publisher | pdf
Reports

Origins

These reports come from both industrial mathematics study groups/workshops and my studies.

  1. A. L. Gower (2014b)
    Elimination of errors from track line detection, In: Train Positioning Using Video Odometry ( presented during the 100th European Study Group with Industry),
    The MIIS Eprints Archive.
    archive

  2. A. L. Gower (2012a)
    Detecting Geometric Faults from Measured Data (ESGI 85),
    The MIIS Eprints Archive.
    archive

  3. A. L. Gower, C. Brett, J. Herterich, K. Katterbauer, A. Melnik and J. Thompson (2012)
    Modelling of abrasive waterjet etching
    OCCAM 4th UK Graduate Modelling Camp,
    pdf

  4. A short introduction to Moving Finite Element Method and application to the wave equation.
    pdf

  5. Uma Prova da Convergencia da Serie de Fourier
    (A proof that the Fourier series converges)
    pdf

  6. Masters Thesis - Nonlinear Elastodynamics with Radial Symmetry
    (Elasticidade nao linear com simetria radial)
    archive | pdf

  7. O Metodo de Kirchhoff para o Modelamento Sismico
    (Modelling Seismic Reflections using the Kirchhoff Method).
    pdf

  8. Definicoes de Dinamica Caotica Discreta
    (Defining Discrete Chaotic Dynamics.)
    pdf

Funding

Large Grants

PI = Principal Investigator
k€ = thousand euro
kR$ = thousand reais
  • September 2013 - September 2015
    Irish Research Council , PhD scholarship,
    Topic: Nonlinear Modelling of Soft Matter: Biomechanics, Growth, Instabilities
    [PIs: Artur Gower & M Destrade, k€46]

  • September 2011 - September 2015,
    Hardiman Foundation, PhD scholarship,
    Topic: Skin deep, Non-Invasive Determination of the Mechanical Properties of Skin through the formation of Wrinkles
    [PIs: Artur Gower & M Destrade, k€84]

  • February 2009 - March 2011,
    Brazilian National Council for Scientific and Technological Development, MSc scholarship,
    Topic: Modelling Acoustic Wave Diffraction
    [PI: Artur Gower, kR$28]

  • Sao Paulo Research Foundation, Undergraduate Research Scholarship
    • March 2006 - March 2007,
      Introduction to Discrete Chaotic Dynamical Systems,
      [PI: Artur Gower & Lucio Tunes dos Santos, kR$6]

    • April 2007 - February 2008,
      Kirchhoff Modelling Acoustic Reflection
      [PI: Artur Gower & Lucio Tunes dos Santos, kR$6]

Small Grants

  • 2nd - 6th June 2014,
    participation in CISM Advanced course: Extremely Deformable Structures
    [support from the International Centre for Mechanical Sciences, Udine, Italy]

  • 7th - 11th April 2014,
    participation in the 100th European Study Group with Industry (ESGI)
    [support from the Oxford Centre for Collaborative Applied Mathematics, Oxford University, UK]

  • 15th Januray 2014,
    invited talk at Cambridge Analysts' Knowledge Exchange (CAKE)
    [support from Centre for Mathematical Sciences, Cambridge University, UK]

  • 2nd - 5th September 2013,
    invited talk at Euromech Colloquium 551: Mechanics of Fibre-Reinforced Materials, Nottingham University, UK.
    [support from Euromech].

  • 24th - 28th June 2013,
    invited talk at the conference on New Trends in Solid Mechanics: Coupled Fields and Multi-scale Modelling, Castro-Urdiales, Spain.
    [support from the Centro Internacional de Encuentros Matematicos, Castro-Urdiales, Spain].

  • 9th - 14th June 2013,
    talk at the 18th International Conference on Nonlinear Elasticity in Materials, Ascona, Switzerland.
    [support from the NUI Galway College of Science Travel Fund, Galway, Ireland].

  • 5th - 7th June 2013,
    invited talk at the conference on Advances in Applied Mathematics and Mechanics, Dublin, Ireland.
    [support from the Irish Society for Scientific & Engineering Computation].

  • 2nd - 16th March 2013,
    visiting researcher at University of Glasgow to work with Prof. Ray Ogden.
    [support from a Royal Society Joint Project, PIs: RW Ogden & M Destrade].

  • 16th - 20th April 2012,
    participation in the 85th European Study Group with Industry (ESGI).
    [support from Oxford Centre for Collaborative Applied Mathematics, Oxford University, UK]