Dr Brendan Harding

Research Associate

School of Mathematical Sciences

Faculty of Engineering, Computer and Mathematical Sciences


My current research is focused towards understanding how inertial lift force and secondary flow motion interact to cause particles to focus towards different locations within the cross-section of a curved microfluidic duct depending on their size. I'm also interested in iterated function systems and their associated dynamical systems, sparse grid methods for high dimensional approximation, hyperbolic partial differential equations and algorithm based fault tolerance in high performance computing.

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  • Journals

    Year Citation
    2019 Harding, B. (2019). A RAYLEIGH-RITZ METHOD for NAVIER-STOKES FLOW THROUGH CURVED DUCTS. ANZIAM Journal, 61(1), 1-22.
    DOI
    2019 Harding, B. (2019). SYMMETRIC ITINERARY SETS: ALGORITHMS and NONLINEAR EXAMPLES. Bulletin of the Australian Mathematical Society.
    DOI
    2018 Harding, B., & Stokes, Y. (2018). Fluid flow in a spiral microfluidic duct. Physics of Fluids, 30(4), 042007-1-042007-19.
    DOI Scopus1 WoS1
    2016 Strazdins, P., Ali, M., & Harding, B. (2016). Design and analysis of two highly scalable sparse grid combination algorithms. Journal of Computational Science, 17, 547-561.
    DOI Scopus3 WoS1
    2016 Ali, M., Strazdins, P., Harding, B., & Hegland, M. (2016). Complex scientific applications made fault-tolerant with the sparse grid combination technique. International Journal of High Performance Computing Applications, 30(3), 335-359.
    DOI Scopus7 WoS3
    2016 Barnsley, M., Harding, T., Vince, A., & Viswanathan, P. (2016). Approximation of rough functions. Journal of Approximation Theory, 209, 23-43.
    DOI
    2015 de Baar, J., & Harding, B. (2015). A gradient-enhanced sparse grid algorithm for uncertainty quantification. International Journal for Uncertainty Quantification, 5(5), 453-468.
    DOI Scopus3 WoS1
    2015 Harding, B., Hegland, M., Larson, J., & Southern, J. (2015). Fault tolerant computation with the sparse grid combination technique. SIAM Journal on Scientific Computing, 37(3), 331-353.
    DOI Scopus9 WoS5
    2014 Barnsley, M., Harding, B., & Vince, A. (2014). The entropy of a special overlapping dynamical system. Ergodic Theory and Dynamical Systems, 34(2), 483-500.
    DOI Scopus5 WoS6
    2011 Barnsley, M., Harding, B., & Igudesman, K. (2011). How to transform and filter images using iterated function systems. SIAM Journal on Imaging Sciences, 4(4), 1001-1028.
    DOI Scopus14 WoS12
  • Book Chapters

    Year Citation
    2015 Barnsley, M., & Harding, B. (2015). Three-dimensional fractal homeomorphisms. In M. Frame, & N. Cohen (Eds.), Benoit Mandelbrot A Life in Many Dimensions (pp. 117-142). Singapore: World Scientific Publishing Company Pty. Ltd..
    DOI
  • Conference Papers

    Year Citation
    2018 Harding, B. (2018). A study of inertial particle focusing in curved microfluidic ducts with large bend radius and low flow rate. In T. Lau, & R. Kelso (Eds.), Proceedings of the 21st Australasian Fluid Mechanics Conference. https://people.eng.unimelb.edu.au/imarusic/proceedings/21/: Australasian Fluid Mechanics Society.
    2016 Harding, T. (2016). Combination technique coefficients via error splittings. In ANZIAM Journal: Proceedings of the 17th Computational Techniques and Applications Conference Vol. 56 (pp. C355-C368). Australian National University, Canberra, Australia: Australian Mathematical Society.
    DOI
    2016 Strazdins, P., Harding, B., Lee, C., Mayo, J., Ray, J., & Armstrong, R. (2016). A robust technique to make a 2D advection solver tolerant to soft faults. In Procedia Computer Science Vol. 80 (pp. 1917-1926). Online: Elsevier.
    DOI Scopus2
    2016 Parra Hinojosa, A., Harding, B., Hegland, M., & Bungartz, H. (2016). Handling silent data corruption with the sparse grid combination technique. In Lecture Notes in Computational Science and Engineering Vol. 113 (pp. 165-186). Online: Springer Verlag.
    DOI Scopus2
    2016 Hegland, M., Harding, B., Kowitz, C., & Pflüger, D. (2016). Recent developments in the theory and application of the sparse grid combination technique. In Lecture Notes in Computational Science and Engineering Vol. 113 (pp. 143-163). Online: Springer Verlag.
    DOI Scopus1
    2016 Harding, B. (2016). Adaptive sparse grids and extrapolation techniques. In Lecture Notes in Computational Science and Engineering Vol. 109 (pp. 79-102). Online: Springer Verlag.
    DOI Scopus4
    2015 Strazdins, P., Ali, M., & Harding, B. (2015). Highly Scalable Algorithms for the Sparse Grid Combination Technique. In Proceedings - 2015 IEEE 29th International Parallel and Distributed Processing Symposium Workshops, IPDPSW 2015 (pp. 941-950). Online: IEEE.
    DOI Scopus7 WoS3
    2015 Ali, M., Strazdins, P., Harding, B., Hegland, M., & Larson, J. (2015). A fault-tolerant gyrokinetic plasma application using the sparse grid combination technique. In Proceedings of the 2015 International Conference on High Performance Computing and Simulation, HPCS 2015 (pp. 499-507). Online: IEEE.
    DOI Scopus11 WoS7
    2015 de Baar, J., Harding, B., Hegland, M., & Oehmigara, C. (2015). Reduced Basis Model Reduction for Statistical Inverse Problems with applications in Tsunami Modelling. In T. Weber, M. McPhee, & R. Anderssen (Eds.), Proceedings of 21st International Congress on Modelling and Simulation (MODSIM) held jointly with the 23rd National Conference of the Australian-Society-for-Operations-Research / DSTO led Defence Operations Research Symposium (DORS (pp. 112-118). Online: MODELLING & SIMULATION SOC AUSTRALIA & NEW ZEALAND INC.
    2014 Harding, B., & Hegland, M. (2014). Robust solutions to PDEs with multiple grids. In Lecture Notes in Computational Science and Engineering. 2nd Workshop on Sparse Grids and Applications, SGA 2012 Vol. 97 (pp. 171-193). Online: Springer.
    DOI Scopus5
    2014 Ali, M., Southern, J., Strazdins, P., & Harding, B. (2014). Application level fault recovery: Using fault-tolerant open MPI in a PDE solver. In Proceedings of the International Parallel and Distributed Processing Symposium, IPDPS (pp. 1169-1178). Online: IEEE.
    DOI Scopus17
    2014 Barnsley, M., Harding, B., & Rypka, M. (2014). Measure preserving fractal homeomorphisms. In Springer Proceedings in Mathematics and Statistics Vol. 92 (pp. 79-102). Online: Springer.
    DOI
    2014 Larson, J., Strazdins, P., Hegland, M., Harding, B., Roberts, S., Stals, L., . . . Southern, J. (2014). Managing complexity in the parallel sparse grid combination technique. In Advances in Parallel Computing. International Conference on Parallel Computing ParCo 2013 Vol. 25 (pp. 593-602). Online: IOS Publishing.
    DOI Scopus4 WoS4
    2014 Harding, B., & Hegland, M. (2014). A parallel fault tolerant combination technique. In Advances in Parallel Computing. International Conference on Parallel Computing, ParCo 2013 Vol. 25 (pp. 584-592). Online: IOS Publishing.
    DOI Scopus8 WoS2
    2013 Larson, J., Hegland, M., Harding, B., Roberts, S., Stals, L., Rendell, A., . . . Oishi, Y. (2013). Fault-tolerant grid-based solvers: Combining concepts from sparse grids and MapReduce. In V. Alexandrov, M. Lees, V. Krzhizhanovskaya, J. Dongarra, & P. Sloot (Eds.), Procedia Computer Science Vol. 18 (pp. 130-139). Barcelona, SPAIN: ELSEVIER SCIENCE BV.
    DOI Scopus14 WoS13
    2012 Harding, B., & Hegland, M. (2012). A robust combination technique. In ANZIAM Journal Vol. 54.
    Scopus9
  • Working Paper

    Year Citation
    Harding, B., Stokes, Y. M., & Bertozzi, A. L. (n.d.). Effect of inertial lift on a spherical particle suspended in flow
    through a curved duct
    .
  • Position: Research Associate
  • Phone: 83139843
  • Email: brendan.harding@adelaide.edu.au
  • Fax: 8313 3696
  • Campus: North Terrace
  • Building: Ingkarni Wardli, floor 6
  • Room: 6 64
  • Org Unit: Mathematical Sciences

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