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Heil, M. & Pedley, T.J. (1995) Large Axisymmetric Deformations of a Cylindrical Shell Conveying a Viscous Flow. Journal of Fluids and Structures 9, 237256. (abstract)
Heil, M. (1996) The Stability of Cylindrical Shells Conveying Viscous Flow. Journal of Fluids and Structures 10, 173196. (abstract) (pdf) (ps)
Heil, M. & Pedley, T.J. (1996) Large PostBuckling Deformations of Cylindrical Shells Conveying Viscous Flow. Journal of Fluids and Structures 10 , 565599. (abstract) (pdf) (ps)
Heil, M. (1997), Stokes Flow in Collapsible Tubes  Computation and Experiment. Journal of Fluid Mechanics 353, 285312. (abstract)(ps preprint)
Heil, M. (1998) Stokes Flow in an Elastic Tube  A LargeDisplacement FluidStructure Interaction Problem. The International Journal for Numerical Methods in Fluids 28, 243265. (abstract)(pdf preprint)
Heil, M. (1999) Minimal Liquid Bridges in NonAxisymmetrically Buckled Elastic Tubes. Journal of Fluid Mechanics 380, 309337. (abstract) (ps preprint)
Heil, M. (1999) Airway Closure: Liquid Bridges in Strongly Buckled Elastic Tubes. ASME Journal of Biomechanical Engineering 121, 487493. (ps preprint) (abstract)
Heil, M. (2000) Finite Reynolds number effects in the propagation of an air finger into a liquidfilled flexiblewalled channel. Journal of Fluid Mechanics 424, 2144.(ps preprint) (abstract)
Heil, M. (2001) The Bretherton problem in elasticwalled channels: Finite Reynolds number effects. In: IUTAM Symposium on Free Surface Flows, Editors: A. C. King & Y.D. Shikmurzaev. Kluwer, Dordrecht, Netherlands. pp. 113120. (ps preprint) (abstract)
Heil, M. (2001) Finite Reynolds number effects in the Bretherton problem. Physics of Fluids 13, 25172521. (ps preprint) (abstract)
Heil, M. & Hazel, A. L. (2001) PROSPER: L^{A}TEX based computer presentations. SIAM News 34(10), 1920. (pdf reprint). (html version of this article with all files).
Heil, M. & White, J.P. (2002) Airway Closure: Surfacetensiondriven nonaxisymmetric instabilities of liquidlined elastic rings. Journal of Fluid Mechanics 462, 79109. (ps preprint)(abstract)
Hazel, A. L. & Heil, M. (2002) The steady propagation of a semiinfinite bubble into a tube of elliptical or rectangular crosssection. Journal of Fluid Mechanics 470, 91114. (pdf preprint) (abstract)
Heil, M. & Jensen, O.E. (2003) Flows in deformable tubes and channels  Theoretical models and biological applications. Chapter 2 of: Flow in Collapsible Tubes and Past Other Highly Compliant Boundaries. Eds: T.J. Pedley and P.W. Carpenter. pp. 1550. Kluwer, Dordrecht, Netherlands. (pdf preprint)(abstract)
Hazel, A. L. & Heil, M. (2003) Threedimensional airway reopening: The steady propagation of a semiinfinite bubble into a buckled elastic tube. Journal of Fluid Mechanics 478 4770. (pdf preprint) (abstract)
Jensen, O.E. & Heil, M. (2003) Highfrequency selfexcited oscillations in a collapsiblechannel flow. Journal of Fluid Mechanics 481 235268. (pdf preprint) (abstract)
Hazel, A. L. & Heil, M. (2003) Steady finiteReynoldsnumber flows in threedimensional collapsible tubes. Journal of Fluid Mechanics 486 79103. (pdf preprint)(abstract)
Heil, M. & Hazel, A. L. (2003) Mass transfer from a finite strip near an oscillating stagnation point  implications for atherogenesis. Journal of Engineering Mathematics. 47 315334. (abstract)(pdf preprint)
Heil, M. (2004) An efficient solver for the fullycoupled solution of largedisplacement fluidstructure interaction problems. Computer Methods in Applied Mechanics and Engineering. 193 123. (abstract) (pdf preprint)
Watton, P. N., Hill, N. A. & Heil, M. (2004) A mathematical model for the growth of the abdominal aortic aneurysm. Biomechanics and Modeling in Mechanobiology 3 98113. (abstract) (pdf reprint)
White, J.P. & Heil, M. (2005) Threedimensional instabilities of liquidlined elastic tubes  a lubrication theory model. Physics of Fluids 17 (abstract) (pdf preprint)
Hazel, A. L. & Heil, M. (2005) Surfacetensioninduced buckling of liquidlined elastic tubes  a model for pulmonary airway closure. Proceedings of the Royal Society A 461, 18471868.(abstract) (pdf preprint)
Heil, M. & Waters, S.L. (2006) Transverse flows in rapidly oscillating, elastic cylindrical shells. Journal of Fluid Mechanics 547, 185214. (abstract) (pdf preprint)
Baroud, C.N., Tsikata, S. & Heil, M. (2006) The propagation of lowviscosity fingers into fluidfilled, branching networks. Journal of Fluid Mechanics 546, 285294. (abstract) (pdf preprint)
Hazel, A. L. & Heil, M. (2006) FiniteReynoldsNumber Effects in Steady, ThreeDimensional Airway Reopening. ASME Journal of Biomechanical Engineering 128, 573578. (abstract) (pdf preprint)
Heil, M. & Hazel, A. L. (2006) oomphlib  An ObjectOriented MultiPhysics FiniteElement Library. In: FluidStructure Interaction, Editors: M. Schafer und H.J. Bungartz. Springer (Lecture Notes on Computational Science and Engineering), pp. 1949. (abstract) (pdf preprint)
Heil, M. & Waters, S.L. (2008) How rapidly oscillating collapsible tubes extract energy from a viscous mean flow. Journal of Fluid Mechanics 601, 199227. (abstract) (pdf preprint)
Hazel, A.L. & Heil, M. (2008) The influence of gravity on the steady propagation of a semiinfinite bubble into a flexible channel. Physics of Fluids 20, 092109. (abstract) (pdf preprint)
Heil, M., Hazel, A.L. & Boyle, J. (2008) Solvers for largedisplacement fluidstructure interaction problems: Segregated vs. monolithic approaches. Computational Mechanics 43, 91101. (abstract) (pdf preprint)
Heil, M., Hazel, A.L. & Smith, J.A. (2008) The Mechanics of Airway Closure Respiratory Physiology & Neurobiology 163, 214221. (abstract) (pdf preprint)
Muddle, R.L., Boyle, J.W., Mihajlovic, M.D. & Heil, M. (2009) : The Development of an ObjectOriented Parallel Block Preconditioning Framework Parallel scientific computing and optimization: Advances and applications 27, 3746 (abstract)
Whittaker, R.J., Waters, S.L., Jensen, O.E., Boyle, J. & Heil, M. (2010) The energetics of flow through a rapidly oscillating tube. Part I: General theory. Journal of Fluid Mechanics 648, 83121 (abstract) (pdf)
Whittaker, R.J., Heil, M., Boyle, J., Jensen, O.E., & Waters, S.L. (2010) The energetics of flow through a rapidly oscillating tube. Part II: Application to an elliptical tube. Journal of Fluid Mechanics 648, 123153 (abstract) (pdf)
Heil, M., Boyle, J. (2010) Selfexcited oscillations in threedimensional collapsible tubes: Simulating their onset and largeamplitude oscillations. Journal of Fluid Mechanics 652, 405426 (abstract) (pdf)
Whittaker, R.J., Heil, M., Jensen, O.E., & Waters, S.L. (2010) A rational derivation of a tube law from shell theory. Quarterly Journal of Mechanics and Applied Mathematics (pdf) (abstract)
Whittaker, R.J., Heil, M., Jensen, O.E., & Waters, S.L. (2010) The onset of highfrequency selfexcited oscillations in elasticwalled tubes. Proceedings of the Royal Society A 466, 36353657. (abstract) (pdf)
Stewart, P.S., Heil, M., Waters, S.L. & Jensen, O.E. (2010) Sloshing and slamming oscillations in collapsible channel flow. Journal of Fluid Mechanics 662, 288319. (abstract) (pdf) (Supplementary material (movie))
Heil, M., Hazel, A. L. (2011) Fluidstructure interaction in internal physiological flows. Annual Review of Fluid Mechanics 43, 141162. (abstract). (pdf)
Whittaker, R.J., Heil, M., & Waters, S.L. (2011) The energetics of flow through a rapidly oscillating tube with slowly varying amplitude. Philosophical Transactions of the Royal Society A 369, 29893006. (abstract) (pdf)
Hazel, A. L., Heil, M., Waters, S.L. & Oliver, J.M. (2012) On the liquid lining in fluidconveying curved tubes. Journal of Fluid Mechanics 705, 213233. DOI: 10.1017/jfm.2011.346
PihlerPuzovic, D., Illien, P., Heil, M. & Juel, A. (2012) Suppression of Complex Fingerlike Patterns at the Interface between Air and a Viscous Fluid by Elastic Membranes. Phys. Rev. Lett. 108. DOI: 10.1103/PhysRevLett.108.074502
Heil, M., Kharrat, T., Cotterill, P.A. & Abrahams, I.D. (2012) Quasiresonances in soundinsulating coatings. Journal of Sound and Vibration 331 47744784. DOI: 10.1016/j.sv.2012.05.029
Muddle, R.L., Mihajlovic, M. & Heil, M. (2012) An efficient preconditioner for monolithicallycoupled largedisplacement fluidstructure interaction problems with pseudosolid mesh updates. Journal of Computational Physics 231, 73157334. DOI: 10.1016/j.jcp.2012.07.001
PihlerPuzovic, D., Perillat, R., Russell, M., Juel, A. & Heil, M. (2013) Modelling the suppression of viscous fingering in elasticwalled HeleShaw cells. Journal of Fluid Mechanics 731, 162183 DOI: 10.1017/jfm.2013.375
PihlerPuzovic, D., Juel, A. & Heil, M. (2014) The interaction between viscous fingering and wrinkling in elasticwalled HeleShaw cells. Physics of Fluids 26, 022102. DOI: doi:10.1063/1.4864188.
Shepherd, D., Miles, J., Heil, M., Mihajlovic, M. (2014) Discretisation induced stiffness in micromagnetic simulations. IEEE Trans. Magn., 50(11) 7201304. DOI: 10.1109/TMAG.2014.2325494
Evatt, G.W., Abrahams, I.D., Heil, M., Mayer, C., Kingslake, J., Mitchell, S.L., Fowler, A.C. & Clark, C.D. (2015) Glacial melt under a debris layer: the DADDI model. Journal of Glaciology 61, 825836. DOI: 10.3189/2015JoG14J235. (pdf)
Cimpeanu, R., Martinsson, A. & Heil, M. (2015) A parameterfree perfectly matched layer formulation for the finiteelementbased solution of the Helmholtz equation. Journal of Computational Physics 296 329347. DOI: doi:10.1016/j.jcp.2015.05.006.
Heil, M. & Hazel, A.L. (2015) Flow in flexible/collapsible tubes. In: FluidStructure Interactions in LowReynoldsNumber Flows. Eds: Duprat, C. & Stone, H.A. Royal Society of Chemistry, RSC Publishing. pp. 280311. See details on the publisher's webpage.
PihlerPuzovic, D., Juel, A., Peng, G., Lister, J. & Heil, M. (2015) Displacement flows under elastic membranes. Part 1: Experiments and direct numerical simulations. Journal of Fluid Mechanics 784 487 511. DOI: doi:10.1017/jfm.2015.590. (pdf)
Peng, G., PihlerPuzovic, D., Juel, A., Heil, M. & Lister, J. (2015) Displacement flows under elastic membranes. Part 2: Analysis of interfacial effects. Journal of Fluid Mechanics 784 512 547. DOI: doi:10.1017/jfm.2015.589. (pdf)
Pestana, J., Muddle, R., Heil, M., Tisseur, F. & Mihajlovic M. (2016) Efficient block preconditioning for a C1 finite element discretisation of the Dirichlet biharmonic problem. SIAM Journal on Scientific Computing 38(1), A325A345. DOI: 10.1137/15M1014887 . (pdf)
I am a member of the EPSRC College and regularly act as a referee for the following journals
Meet the family![very old pictures] 

How to contact me: 


Email:  M.Heil@maths.manchester.ac.uk 
Snail Mail: 
School of Mathematics University of Manchester Oxford Road Manchester M13 9PL U.K.

Phone:  +44 (0)161 275 5808 
Fax:  +44 (0)161 275 5819 
WWW:  http://www.maths.man.ac.uk/~mheil/ (this page) 