My Publications

This is a complete list of my papers all of which are available to download as pdf files.

    2014

  1. Mullis, A M, Bollada, P C & Jimack, P K, Towards a 3-Dimensional Phase-Field Model of Non-Isothermal Alloy Solidification. Materials Science Forum, vols.783-786, pp.2166--2171, 2014.

    2013

  2. Mullis, A M, Bollada, P C, Goodyer C E & Jimack, P K, Multi-scale modelling using 3-dimensional adaptive meshing with an implicit, multigrid solver: A crystallization example . Proceedings of TMS Annual Meeting, pp.13-20, 2013.

    2012

  3. Goodyer, C E, Jimack P K, Mullis, A M, Dong, H & Xie, Y, On the Fully Implicit Solution of a Phase-Field Model for Binary Alloy Solidification in Three Dimensions. Advances in Applied Mathematics and Mechanics, vol.4, pp.665--684, 2012.

  4. Mullis, A M, Goodyer, C E & Jimack P K, Towards a 3-Dimensional Phase-Field Model of Dendritic Solidification with Physically Realistic Interface Width. Trans. Indian Inst. Metals, vol.65, pp.617--621, 2012.

  5. Ahmed, S, Goodyer, C E & Jimack, P K, On the Linear Finite Element Analysis of Fully-Coupled Point Contact Elastohydrodynamic Lubrication Problems. Proc. IMechE Part J: J. Engrg. Tribology, vol.226, pp.350--361, 2012.

  6. Tan, X, Goodyer, C E, Jimack, P K, Taylor, R I & Walkley, M A, Computational Approaches for Modelling Elastohydrodynamic Lubrication Using Multiphysics Software. Proc. IMechE Part J: J. Engrg. Tribology, vol.226, pp.463--480, 2012.

  7. Bollada, P C, Jimack P K & Mullis, A M, A New Approach to Multi-Phase Formulation for the Solidification of Alloys Physica D: Nonlinear Phenomena, vol.241, pp.816--829, 2012.

  8. Ahmed, S, Goodyer, C E & Jimack, P K, An Efficient preconditioned Iterative Solution of Fully-Coupled Elastohydrodynamic Lubrication Problems. Applied Numerical Mathematics, vol.62, pp.649--663, 2012.

  9. Lu, H, Berzins M, Goodyer, C E & Jimack, P K, Adaptive High-Order Discontinuous Galerkin Solution of Elastohydrodynamic Lubrication Point Contact Problems Advances in Engineering Software, vol.45, pp.313--324, 2012.

  10. Bollada, P C, Jimack P K & Mullis, A M, A New Approach to Multi-Phase Field for the Solidification of Alloys IOP Conference Series: Materials Science and Engineering, vol.33, 012099, 2012.

    2011

  11. Hart, D E, Berzins, M, Goodyer, C E & Jimack, P K, Using Adjoint Error Estimation Techniques for Elastohydrodynamic Lubrication Line Contact Problems. Int. J. Numer. Meth. Fluids, vol.67, pp.1559--1570, 2011.

  12. Baines, M J, Hubbard, M E & Jimack P K, A Moving-Mesh Finite Element Method and its Application to the Numerical Solution of Phase-Change Problems. Communications in Computational Physics, vol.10, pp.509--576, 2011.

  13. Romanazzi, G, Jimack, P K & Goodyer, C E, Reliable Performance Prediction for Multigrid Software on Distributed Memory Systems Advances in Engineering Software, vol.42, pp.247--258, 2011.

  14. Jimack, P K & Kirby, R M, Towards the development on an h-p-refinement strategy based upon error estimate sensitivity Computers and Fluids, vol.46, pp.277--281, 2011.

  15. Marlow, R, Jimack, P K & Hubbard, M E, Moving mesh methods for solving parabolic partial differential equations Computers and Fluids, vol.46, pp.353--361, 2011.

  16. Fadel H, Agouzoul, M & Jimack, P K, High-Order Finite Difference Schemes for Incompressible Flows. Int. J. Numer. Meth. Fluids, vol.65, pp.1050--1070, 2011.

  17. Tenchev, R, Gough, T, Harlen, O G, Jimack, P K, Klein, D H & Walkley, M A, Three-dimensional finite element analysis of the flow of polymer melts. Journal of Non-Newtonian Fluids, vol.166, pp.307--320, 2011.

  18. Davies C J, Gubbins, D & Jimack, P K, Scalability of Pseudospectral Methods for Geodynamo Simulations Concurrency and Computation: Practice and Experience, vol.23, pp.38--56, 2011.

  19. Green, J, Jimack, P K, Mullis A M & Rosam, J, An Adaptive, Multilevel Scheme for the Implicit Solution of Three-Dimensional Phase-Field Equations Numerical Methods for PDEs, vol.27, pp.106--120, 2011.

  20. Jimack, P K & Walkley, M A, Asynchronous parallel solvers for linear systems arising in computational engineering. In Computational Technology Reviews, Volume 3, eds. P. Ivanyi and B.H.V. Topping (Saxe-Coburg Publications, UK), pp.1--20, 2011.

    2010

  21. Mullis A M, Rosam, J & Jimack, P K, Solute Trapping and the effects of Anti-Trapping Currents on Phase-Field Models of Coupled Thermo-Solutal Solidification J. Cryst. Growth, vol.312, pp.1891--1897, 2010.

  22. Lord, T D, Scelsi, L, Hassell, D G, Mackley, M R, Embery, J, Auhl, D, Harlen, O G, Tenchev, R, Jimack, P K & Walkley, M A, The Matching of 3D Rolie-Poly Viscoelastic Numerical Simulations with Experimental Polymer Melt Flow Within a Slit and a Cross-Slot Geometry. Journal of Rheology, vol.54, pp.355--373, 2010.

  23. Frazier, J D, Jimack, P K & Kirby, R M, On the Use of Adjoint-Based Sensitivity Estimates to Control Local Mesh Refinement. Communications in Computational Physics, vol.7, pp.631--638, 2010.

  24. Jimack, P K, Multigrid Algorithms for Optimal Engineering Computations. In Computational Technology Reviews, Volume 1, eds. B.H.V. Topping, L.M. Adam, F.J.Pallares, R. Bru and M.L. Romero (Saxe-Coburg Publications, UK), pp.57--81, 2010.

    2009

  25. Davies, C J, Gubbins, D & Jimack, P K, Convection in a Rapidly Rotating Spherical Shell with an Imposed Laterally Varying Thermal Boundary Condition. Journal of Fluid Mechanics, vol.641, pp.335--358, 2009.

  26. Martin, C J, Haji, M H, Dew, P M, Pilling, M J & Jimack, P K, A User-Orientated Approach to Provenance Capture and Representation for in silico Experiments: Explored within the Atmospheric Chemistry Community . Phil. Trans. R. Soc. A, vol.367, pp.2753-2770, 2009.

  27. Mullis, A M, Rosam, J & Jimack, P K, The Prediction of Tip Radius During Rapid Dendritic Growth Under Coupled Thermo-Solutal Control: What Value sigma?. Trans. Indian Inst. Metals, vol.62, pp.309-313, 2009.

  28. Hubbard, M E, Baines, M J & Jimack, P K, Consistent Dirichlet Boundary Conditions for Numerical Solution of Free Boundary Problems . Applied Numerical Mathematics, vol.59, pp.1337-1353, 2009.

  29. Rosam, J, Jimack, P K & Mullis, A M, Quantitative Phase-Field Modelling of Solidification at High Lewis Number . Physical Review E, vol.79, article 030601(R), 2009.

  30. Martin, C J, Haji, M H, Dew, P M, Pilling, M J & Jimack, P K, Semantically Enhanced Provenance Capture for Chamber Model Development with a Master Chemical Mechanism. Phil. Trans. R. Soc. A, vol.367, pp.987-990, 2009.

  31. Baines, M J, Hubbard, M E, Jimack, P K & Mahmood, R,, A Moving-Mesh Finite Element Method and its Application to the Numerical Solution of Phase-Change Problems. Communications in Computational Physics, vol.6, pp.595-624, 2009.

  32. Koh Y-Y, Lee Y C, Gaskell, P H , Jimack, P K & Thompson, H M, Droplet Migration: Quantitative comparisons with Experiment. Eur. Phys. J., vol.166, pp.117-120, 2009.

  33. Green, J R, Jimack, P K, Mullis, A M & Rosam, J, Towards a Three-Dimensional Parallel, Adaptive, Multilevel Solver for the Solution of Nonlinear, Time-Dependent, Phase-Change Problems. In Parallel, Distributed and Grid Computing for Engineering, eds. B.H.V. Topping and P. Ivanyi (Saxe-Coburg Publications, UK), pp.251--274, 2009.

  34. Romanazzi, G & Jimack, P K, Performance Prediction for Multigrid Codes Implemented with Different Parallel Strategies. In Proceedings of The First International Conference on Parallel, Distributed and Grid Computing for Engineering, eds. B.H.V. Topping and P. Ivanyi (Civil-Comp Press, UK), paper 43, 2009.

    2008

  35. Gaskell, P H, Jimack, P K, Koh, Y-Y & Thompson, H M, Development and Application of a Parallel Multigrid Solver for the Simulation of Spreading Droplets. Int. J. Num. Meth. Fluids, vol.56, pp.979-1002, 2008.

  36. Rosam, J, Jimack, P K & Mullis, A M, An Adaptive, Fully Implicit, Multigrid Phase-Field Model for the Quantitative Simulation of Non-isothermal Binary Alloy Solidification. Acta Materialia, vol.56, pp.4559-4569, 2008.

  37. Davies, C J, Gubbins, D, Willis, A P & Jimack, P K, Time-Averaged Paleomagnetic Field and Secular Variation: Predictions from Dynamo Solutions Based on Lower mantle Seismic Tomography. Physics of the Earth and Planetary Interiors, vol.169, pp.194-203, 2008.

  38. Schneider, R & Jimack, P K, On the Evaluation of Finite Element Sensitivities to Nodal Coordinates. Electronic Trans. Numer. Anal., vol.32, pp.134-144, 2008.

  39. Tenchev, R, Harlen, O, Jimack, P K & Walkley, M A, Finite Element Modelling of Two- and Three-Dimensional Viscoelastic Polymer Flows In Trends in Engineering Computational Technology, eds. M. Papadrakakis and B.H.V. Topping (Saxe-Coburg Publications, UK), pp.81--101, 2008.

  40. Romanazzi, G & Jimack, P K, Parallel Performance Prediction for Numerical Codes in a Multi-Cluster Environment. In Proceedings of the 2008 International Multiconference on Computer Science and Information Technology (IMCSIT'08), eds. M. Ganzha et.al. (PTI Press, Katowice, Poland), pp.467--474, 2008.

  41. Martin, C, Haji, M H, Dew, P M, Pilling, M & Jimack, P K, Semantically-enhanced Model-Experiment-Evaluation Processes (SeMEEPs) within the Atmospheric Chemistry Community. In Proceedings of Second International Provenance and Annotation Workshop (IPAW 2008), eds. J. Freire, D. Koop, and L. Moreau (Lecture Notes in Computer Science 5272, Springer-Verlag), pp.293--308, 2008.

  42. Romanazzi, G, Jimack, P K & Goodyer, C E, Reliable Performance Prediction for Parallel Scientific Software in a Multi-Cluster Grid Environment. In Proceedings of the Sixth International Conference on Engineering Computational Technology, eds. M. Papadrakakis and B.H.V. Topping (Civil-Comp Press, UK), paper 9, 2008.

    2007

  43. Rosam, J, Jimack, P K, & Mullis, A M, A Fully Implicit, Fully Adaptive Time and Space Discretization Method for Phase-Field Simulation of Binary Alloy Solidification. J. Comput. Phys., vol.225, pp.1271-1287, 2007.

  44. Green, J R, Jimack, P K, & Mullis, A M, Phase-Field Analysis of Eutectic Breakdown. Metallurgical and Materials Trans. A, vol.38, pp.1426-1432, 2007.

  45. Liu, D, & Jimack, P K, A Survey of Parallel Algorithms for Fractal Image Compression. Journal of Algorithms and Computational Technology, vol.1, pp.171-186, 2007.

  46. Rosam, J, Mullis, A M & Jimack, P K, Advanced Numerical Methods for the Simulation of Alloy Solidification with High Lewis Number. In Proceedings of the 5th Decennial International Conference on Solidification Prcoessing (SP07), ed. H. Jones (University of Sheffield), pp.26-30, 2007.

  47. Romanazzi, G & Jimack, P K, Parallel Performance Prediction for Multigrid Codes on Distributed Memory Architectures. In High Performance Computing and Communications (HPCC-07), ed. R. Perrott et al. (Lecture Notes in Computer Science 4782, Springer), pp.647--658, 2007.

  48. Romanazzi, G & Jimack, P K, Performance Prediction for Parallel Numerical Software on the White Rose Grid. In Proceedings of Sixth UK E-Science All-Hands Meeting, ed. S.J. Cox (ISBN 978-0-9553988-3-4), pp.517-524, 2007.

  49. Jimack, P K, Applications of Multigrid Techniques in CFD. In Proceedings of the 9th Conference on Numerical Methods for Fluid Dynamics, ed. M. Arthur et al. (ICFD, Reading), 2007.

  50. Afandizadeh Zargari, E, Jimack, P K, & Walkley M A, An investigation of the film thickness calculation for elastohydrodynamic lubrication problems. In Proceedings of the 9th Conference on Numerical Methods for Fluid Dynamics, ed. M. Arthur et al. (ICFD, Reading), 2007.

    2006

  51. Lu, H, Berzins, M, Goodyer, C E, Jimack, P K & Walkley, M A, Adaptive High-Order Finite Element Solution of Transient Elastohydrodynamic Lubrication Problems. Proc. IMechE Part J: J. Engrg. Tribology, vol.220, pp.215-225, 2006.

  52. Goodyer, C E, Berzins, M, Jimack, P K & Scales, L E, A Grid-Enabled Problem Solving Environment for Parallel Computational Engineering Design . Advances in Engineering Software, vol.37, pp.439-449, 2006.

  53. Baines, M J, Hubbard, M E, Jimack, P K & Jones, A C, Scale-Invariant Moving Finite Elements for Nonlinear Partial Differential Equations in Two Dimensions . Applied Numerical Mathematics, vol.56, pp.230-252, 2006.

  54. Gaskell, P H, Jimack, P K, Sellier, M & Thompson, H M, Flow of Evaporating, Gravity-Driven Thin Liquid Films Over Topography. Physics of Fluids, vol.18, article 013601, 2006.

  55. Lu, H, Berzins, M & Jimack, P K, Application of the Adaptive Discontinuous Galerkin Method to Problems in Elastohydrodynamic Lubrication. In Innovation in Engineering Computational Technology, eds. B.H.V. Topping, G. Montero and R. Montenegro (Saxe-Coburg Publications, Stirling), pp.169--191, 2006.

  56. Schneider, R & Jimack, P K, Anisotropic Mesh Adaption Based on A Posteriori Estimates and Optimisation of Node Positions. In Proceedings of BAIL 2006: International Conference on Boundary and Interior Layers, eds. G. Lube and G. Rapin (University of Gottingen, Germany), ISBN-10: 3-00-019600-5, 2006.

  57. Hart, D, Goodyer, C E, Berzins, B, Jimack, P K & Scales, L, Adjoint Error Estimation and Spatial Adaptivity for EHL-like Models. In IUTAM Symposium on Elastohydrodunamics and Micro-Elastohydrodynamics, eds. R.W. Snidle and H.P. Evans (Springer), pp.47-58, 2006.

    2005

  58. Fawehinmi, O B, Gaskell, P H , Jimack, P K, Kapur, N & Thompson, H M, A Combined Experimental and Computational Fluid Dynamics Analysis of the Dynamics of Drop Formation. Proc. IMechE Part C: J. Mech. Engrg. Sci., vol.219, pp.933-947, 2005.

  59. Lu, H, Berzins, M, Goodyer, C E & Jimack, P K, High Order Discontinuous Galerkin Method for Elastohydrodynamic Lubrication Line Contact Problems. Comm. Num. Meth. Eng., vol.21, pp.643-650, 2005.

  60. Walkley, M A, Gaskell, P H , Jimack, P K, Kelmanson, M A & Summers, J L, Finite Element Simulation of Three-Dimensional Free-Surface Flow Problems. J. Sci. Comput., vol.24, pp.147-162, 2005.

  61. Walkley, M A, Gaskell, P H , Jimack, P K, Kelmanson, M A & Summers, J L, Adaptive Finite Element Simulation of Three-Dimensional Surface-Tension Dominated Free-Surface Flow Problems. ANZIAM J. (electronic supplement), vol.46(E), pp.C558-C571, 2005.

  62. Baines, M J, Hubbard, M E & Jimack, P K, A Moving Mesh Finite Element Algorithm for the Adaptive Solution of Time-Dependent Partial Differential Equations with Moving Boundaries . Applied Numerical Mathematics, vol.54, pp.450-469, 2005.

  63. Hart, D, Goodyer, C E, Berzins, M, Jimack, P K & Scales, L E, Adjoint Error Estimation for EHL-Like Models, Int. J. Num. Meth. Fluids, vol.47, pp.1069-1075, 2005.

  64. Baines, M J, Hubbard, M E & Jimack, P K, A Moving Mesh Finite Element Algorithm for Fluid Flow Problems with Moving Boundaries, Int. J. Num. Meth. Fluids, vol.47, pp.1077-1083, 2005.

  65. Jones, A C & Jimack, P K, An Adaptive Multigrid Tool for Elliptic and Parabolic Systems, Int. J. Num. Meth. Fluids, vol.47, pp.1123-1128, 2005.

  66. Schneider, R & Jimack, P K, Efficient Preconditioning of the Discrete Adjoint Equations for the Incompressible navier-Stokes Equations, Int. J. Num. Meth. Fluids, vol.47, pp.1277-1283, 2005.

  67. Walkley, M A, Gaskell, P H , Jimack, P K, Kelmanson, M A & Summers, J L, Finite Element Simulation of Three-Dimensional free-Surface Flow Problems with Dynamic Contact Lines, Int. J. Num. Meth. Fluids, vol.47, pp.1353-1359, 2005.

    2004

  68. Mahmood, R & Jimack, P K, Locally Optimal Unstructured Finite Element Meshes in 3 Dimensions, Computers and Structures, vol.82, pp.2105--2116, 2004.

  69. Apel, T , Grosman, S, Jimack, P K, & Meyer, A, A New Methodology for Anisotropic Mesh Refinement Based Upon Error Gradients . Applied Numerical Mathematics, vol.50, pp.329--341, 2004.

  70. Gaskell, P H , Jimack, P K, Sellier, M & Thompson, H M, Efficient and Accurate Time Adaptive Multigrid Simulations of Droplet Spreading. Int. J. Num. Meth. Fluids, vol.45, pp.1161--1186, 2004.

  71. Gaskell, P H, Jimack, P K, Sellier, M, Thompson, H M & Wilson, M C T, Gravity-driven Flow of Continuous Thin Liquid Films on Non-Porous Substrates with Topography. J. Fluid Mechanics, vol.509, pp.253-280, 2004.

  72. Walkley, M A, Gaskell, P H , Jimack, P K, Kelmanson, M A, Summers, J L & Wilson, M C T, On the Calculations of Normals in Free-Surface Flow Problems. Comm. Num. Meth. Eng., vol.20, pp.343--351, 2004.

  73. Jimack, P K, Adaptive Algorithms for Free-Surface Flow Problems In Progress in Engineering Computational Technology, eds. B.H.V. Topping and C.A. Mota Soares (Saxe-Coburg Publications, Stirling), pp.57--80, 2004.

  74. Jimack, P K, Parallel and Multilevel Algorithms for Computational Partial Differential Equations In proceedings of the 2004 International Symposium on Distributed Computing and Applications to Business, Engineering and Science (DCABES 2004), ed. G. Qingping (Hubei Science and Technology Press, Wuhan, China), pp.305--310, 2004.

  75. Baines, M J, Hubbard, M E & Jimack P K, A Lagrangian Moving Finite Element Method incorporating Monitor Functions. In Advances in Scientific Computing and Applications, eds. Y.Y. Lu, W.W. Sun and T. Tang (Scientific Press, Beijing), pp.32--44, 2004.

  76. Gaskell, P H, Koh Y Y, Jimack, P K, Sellier, M, Thompson H M & Wilson M C T, Thin Film Flow over Substrates with Topography. In Proceedings of the 12th International Coating Science and Technology Symposium, pp.117--122, 2004.

    2003

  77. Jimack, P K & Nadeem, S A, Parallel Application of an Optimal Domain Decomposition Preconditioner for Adaptive Finite Element Solution of Three-Dimensional Convection-Dominated PDEs. Concurrency and Computation: Practice and Experience, vol.15, pp.939--956, 2003.

  78. Baines, M J, Hubbard, M E & Jimack P K, Adaptive Finite Element Solutions of Time-Dependent Partial Differential Equations using Moving Mesh Algorithms. In Modelling and Simulation in Chemical Engineering, Centro Internacional de Matematica 22, eds. A.E. Rodrigues, P. de Oliveira, J.A. Castro and J.A. Ferreira (Coimbra, Portugal), paper 3, 2003.

  79. Goodyer, C.E., Berzins, M., Jimack, P.K. & Scales, L.E., Grid-Based Numerical Optimisation in a Problem Solving Environment. In Proceedings of Second UK E-Science All-Hands Meeting, Nottingham, ed. S.J. Cox (ISBN 1-904425-11-9), pp.854--861, 2003.

  80. Gaskell, P H, Jimack, P K, Sellier, M & Thompson H M, Gravity-Driven Flow of Evaporating Thin Liquid Films over Substrates with Topography. In Proceedings of the 5th European Coating Symposium (ECS 2003), pp.32--39, 2003.

    2002

  81. Bank, R E, Jimack, P K, Nadeem, S A & Nepomnyaschikh, S V, A Weakly Overlapping Domain Decomposition Method for the Finite Element Solution of Elliptic Partial Differential Equations, SIAM Journal on Scientific Computing, vol.23, pp.1818--1842, 2002.

  82. Jimack, P K, Mahmood, R, Walkley, M & Berzins, M, A Multilevel Approach for Obtaining Locally Optimal Finite Element Meshes, Advances in Engineering Software, vol.33, pp.403--415, 2002.

  83. Nadeem, S A & Jimack, P K, Parallel Implementation of an Optimal Two Level Additive Schwarz Preconditioner for the 3-D Finite Element Solution of Elliptic Partial Differential Equations, Int. J. Num. Meth. Fluids, vol.40, pp.1571--1579, 2002.

  84. Walkley, M, Jimack, P K & Berzins, M, Anisotropic Adaptivity for Finite Element Solutions of 3-D Convection-Dominated Problems, Int. J. Num. Meth. Fluids, vol.40, pp.551--559, 2002.

  85. Bank, R E & Jimack, P K, A New Parallel Domain Decomposition Preconditioner I: Application with an Adaptive Parallel Finite Element Solver. In Computational Mechanics Using High Performance Computing, ed. B.H.V. Topping (Saxe-Coburg Publications), pp.225-242, 2002.

  86. Bank, R E & Jimack, P K, A New Parallel Domain Decomposition Preconditioner II: Generalization to a Mesh-Free Parallel Solver. In Computational Mechanics Using High Performance Computing, ed. B.H.V. Topping (Saxe-Coburg Publications), pp.243-259, 2002.

  87. Jimack, P K, Domain Decomposition Preconditioning for Parallel PDE Software. In Engineering Computational Technology, ed. B.H.V. Topping and Z. Bittnar (Saxe-Coburg Publications), pp.193-219, 2002.

  88. Jimack, P K & Nadeem, S A, A Weakly Overlapping Parallel Domain Decomposition Preconditioner for the Finite Element Solution of Convection-Dominated Problems in Three-Dimensions. In Parallel Computational Fluid Dynamics -- Practice and Theory, ed. P. Wilders et al. (Elsevier Science), pp.191--198, 2002.

  89. Jimack, P K & Nadeem, S A, A Parallel Domain Decomposition Algorithm for the Adaptive Finite Element Solution of 3-D Convection-Diffusion Problems. In Computational Science -- ICCS 2002: International Conference Amsterdam, The Netherlands, April 2002 Proceedings Part II, ed. P.M.A. Sloot et al. (Lecture Notes in Computer Science 2330, Springer), pp.797--805, 2002.

  90. Mahmood, R & Jimack, P K, Locally Optimal Unstructured Finite Element Meshes in Three Dimensions. In Proceedings of the Third International Conference on Engineering Computational Technology, ed. B.H.V. Topping and Z. Bittnar (Civil-Comp Press), paper 11, 2002.

    2001

  91. Bank, R E & Jimack, P K, A New Parallel Domain Decomposition Method for the Adaptive Finite Element Solution of Elliptic Partial Differential Equations, Concurrency and Computation: Practice and Experience, vol.13, pp.327--350, 2001.

  92. Peterson, R C, Jimack, P K & Kelmanson, M A, On the Stability of Viscous, Free-Surface Flow Supported by a Rotating Cylinder, Proc. R. Soc. Lond. A, vol.457, pp.1427--1445, 2001.

  93. Brown, B M, Jimack, P K & Mihajlovic, M D, An Efficient Direct Solver for a Class of Mixed Finite Element Problems, Applied Numerical Mathematics, vol.38, pp.1--20, 2001.

  94. Walkley, M, Jimack, P K & Berzins, M, Mesh Quality for Three-dimensional Finite Element Solutions on Anisotropic Meshes. In Proceedings of FEM3D, GAKUTO International Series, Mathematical Sciences and Applications, Vol. 15, pp. 310--321, 2001.

  95. Jimack, P K & Nadeem, S A, Parallel Application of a Novel Domain Decomposition Preconditioner for the Stable Finite Element Solution of Three-Dimensional Convection-Dominated PDEs. In Euro-Par 2001 Parallel Processing: 7th International Euro-Par Conference Manchester, UK, August 2001 Proceedings, ed. R. Sakellariou et al. (Lecture Notes in Computer Science 2150, Springer), pp.592--601, 2001.

  96. Walkley, M, Jimack, P K & Berzins, M, Anisotropic Adaptivity for Finite Element Solutions of 3-D Convection-Dominated Problems . In Numerical Methods for Fluid Dynamics VII, ed. M.J. Baines (ICFD, Oxford, ISBN 0 9524929 2 X), pp.525--531, 2001.

  97. Walkley, M, Jimack, P K & Berzins, M, Mesh Quality and Anisotropic Adaptivity for Finite Element Solutions of 3-D Convection-Dominated Problems . In proceedings of ECCOMAS Computational Fluid Dynamics Conference 2001, Swansea, UK (IMA, ISBN 0 905 091 12 4), 2001.

  98. Gaskell, P H , Jimack, P K, Sellier, M, Thompson H M & Decre, M, Numerical Simulation of the Spreading of Droplets. In Proceedings of the 4th European Coating Symposium (ECS 2001), pp.149--154, 2001.

    2000

  99. Brown, B M, Davies, E B, Jimack, P K & Mihajlovic, M D, A Numerical Investigation of the Solution of a Class of Fourth Order Eigenvalue Problems, Proc. R. Soc. Lond. A, vol.456, pp.1505--1521, 2000.

  100. Touheed, N, Selwood, P, Jimack, P K & Berzins, M, A Comparison of Some Dynamic Load-Balancing Algorithms for a Parallel Adaptive Flow Solver, Parallel Computing, vol.26, pp.1535--1554, 2000.

  101. Apel, Th, Berzins, M, Jimack, P K, Kunert, G, Plaks, A, Tsukerman, I & Walkley, M, Mesh Shape and Anistropic Elements: Theory and Practice. In The Mathematics of Finite Elements and Applications X, ed. J.R. Whiteman (Elsevier), pp.367--376, 2000.

  102. Jimack, P K & Touheed, N, Developing Parallel Finite Element Software Using MPI. In High Performance Computing for Computational Mechanics, ed. B.H.V. Topping and L. Lammer (Saxe-Coburg Publications), pp.15-38, 2000.

  103. Jimack, P K, Techniques for Parallel Adaptivity. In High Performance Computing for Computational Mechanics, ed. B.H.V. Topping and L. Lammer (Saxe-Coburg Publications), pp.105-118, 2000.

  104. Berzins, M, Jimack, P K, Walkley, M & Durbeck, L J K, Mesh Quality and Moving Meshes for 2D and 3D Unstructured Mesh Flow Solvers In VKI Lecture Series 2000-05, 31st Computational Fluid Dynamics, ed. N.P. Weatherill and H. Deconinck (von Karman Institute ISSN0377-8312), 2000.

  105. Jimack, P K & Nadeem, S A, A Weakly Overlapping Parallel Domain Decomposition Preconditioner for the Finite Element Solution of Elliptic Problems in Three Dimensions . In Proceedings of the 2000 International Conference on Parallel and Distributed Processing Techniques and Applications (PDPTA'2000), Volume III, ed. H.R. Arabnia (CSREA Press, USA), pp.1517--1523, 2000.

  106. Jimack, P K & Mahmood, R, A Multilevel Approach for Obtaining Locally Optimal Finite Element Meshes . In Developments in Engineering Computational Technology, ed. B.H.V. Topping (Civil-Comp Press), pp.191--197, 2000.

    1999

  107. Peterson, R C, Jimack, P K & Kelmanson, M A, The Solution of Two-Dimensional Free-Surface Problems Using Automatic Mesh Generation, Int. J. Num. Meth. Fluids, vol.31, pp.937--960, 1999.

  108. Pennington, S V, Jimack, P K & McFarlane, K, Adaptive Numerical Simulation of the Remediation of Soil Contamination by In-Situ Gas Venting, Computational Geosciences, vol.3, pp.135-160, 1999.

  109. Jimack, P K & Touheed, N, An Introduction to MPI for Computational Mechanics. In Parallel and Distributed Processing for Computational Mechanics: Systems and Tools, ed. B.H.V. Topping (Saxe-Coburg Publications), pp.24-45, 1999.

  110. Jimack, P K & Hodgson, D C, Parallel Preconditioners Based Upon Domain Decomposition. In Parallel and Distributed Processing for Computational Mechanics: Systems and Tools, ed. B.H.V. Topping (Saxe-Coburg Publications), pp.207-223, 1999.

  111. Jimack, P K, An Overview of Dynamic Load-Balancing for Parallel Adaptive Computational Mechanics Codes. In Parallel and Distributed Processing for Computational Mechanics: Systems and Tools, ed. B.H.V. Topping (Saxe-Coburg Publications), pp.350-369, 1999.

    1998

  112. Berzins, M, Capon, P J & Jimack, P K, On Spatial Adaptivity and Interpolation When Using the Method of Lines, Applied Numerical Mathematics, vol.26, pp.117-133, 1998.

  113. Touheed, N, Selwood, P, Jimack, P K & Berzins, M, A Comparison of Some Dynamic Load-Balancing Algorithms for a Parallel Adaptive Flow Solver In Advances in Computational Mechanics with High Perfromance Computing, ed. B.H.V. Topping (Civil-Comp Press), pp.153--161, 1998.

  114. Touheed, N, Selwood P, Jimack, P K, Berzins, M & Dew, P M, Parallel Dynamic Load-Balancing for the Solution of Transient CFD Problems Using Adaptive Tetrahedral Meshes. In Parallel Computational Fluid Dynamics -- Recent Developments and Advances Using Parallel Computers, ed. D.R. Emerson et al. (Elsevier Science), pp.81--88, 1998.

  115. Pennington, S V & Jimack, P K, Adaptive Numerical Simulation of the Remediation of Soil Contamination by In-Situ Gas Venting. In Numerical Methods for Fluid Dynamics 6, ed. M.J. Baines (ICFD, Oxford), pp.443--449, 1998.

  116. Peterson, R C, Jimack, P K & Kelmanson, M A, Automatic Generation of Finite Element Meshes for Evolving Gas/Liquid Interfaces with Arbitrary Geometry. In Numerical Methods for Fluid Dynamics 6, ed. M.J. Baines (ICFD, Oxford), pp.467--473, 1998.

    1997

  117. Capon, P J & Jimack, P K, An Inexact Newton Method for Systems Arising from the Finite Element Method, Applied Mathematics Letters, vol.10, pp.9-12, 1997.

  118. Jimack, P K, An Optimal Finite Element Mesh for Elastostatic Structural Analysis Problems, Computers and Structures, vol.64, pp.192-208, 1997.

  119. Hodgson, D C & Jimack, P K, A Domain Decomposition Preconditioner for a Parallel Finite Element Solver on Distributed Unstructured Grids, Parallel Computing, vol.23, pp.1157-1181, 1997.

  120. Touheed, N & Jimack, P K, Improved Parallel Mesh Generation Through Dynamic Load-Balancing. In Advances in Computational Mechanics with Parallel and Distributed Processing, ed. B.H.V. Topping (Civil-Comp Press), pp.105--111, 1997.

  121. Touheed, N & Jimack, P K, Dynamic Load-Balancing for Adaptive PDE Solvers with Hierarchical Refinement. In Proceedings of the Eighth SIAM Conference on Parallel Processing for Scientific Computing, ed. M. Heath et al. (SIAM), 1997.

    1996

  122. Jimack, P K, Optimal Eigenvalue and Asymptotic Large Time Approximations Using the Moving Finite Element Method, IMA Journal of Numerical Analysis, vol.16, pp.381-398, 1996.

  123. Hodgson, D C & Jimack, P K, Efficient Parallel Generation of Partitioned, Unstructured Meshes, Advances in Engineering Software, vol.27, pp.59-70, 1996.

  124. Jimack, P K, A Best Approximation Property of the Moving Finite Element Method, SIAM Journal of Numerical Analysis, vol.33, pp.2206-2232, 1996.

  125. Hodgson, D C, Jimack, P K, Selwood, P & Berzins, M, Scalable Parallel Generation of Partitioned, Unstructured Meshes. In Parallel Computational Fluid Dynamics -- Implementation and Results Using Parallel Computers, ed. A. Ecer et al. (Elsevier Science), pp.665--672, 1996.

    1995

  126. Hodgson, D C & Jimack, P K, Efficient Mesh Partitioning for Parallel Elliptic Differential Equation Solvers, Computing Systems in Engineering, vol.6, pp.1-12, 1995.

  127. Capon, P J & Jimack, P K, On the Adaptive Finite Element Solution of the Compressible Navier-Stokes Equations. In Proceedings of The Fifth International Conference on Reliability of FE Methods for Engineering Application, (NAFEMS), pp.25--36, 1995.

  128. Hodgson, D C & Jimack, P K, Scalable Parallel Generation of Partitioned, Unstructured Meshes. In Proceedings of The Fifth International Conference on Reliability of FE Methods for Engineering Application, (NAFEMS), pp.236--247, 1995.

  129. Capon, P J & Jimack, P K, An Adaptive Finite Element Method for the Compressible Navier-Stokes Equations. In Numerical Methods for Fluid Dynamics 5, ed. M.J. Baines and K.W. Morton (OUP), pp.327--334, 1995.

    1994

  130. Hodgson, D C & Jimack, P K, Parallel Generation of Partitioned, Unstructured Meshes. In Advances in Parallel and Vector Processing for Structural Mechanics, ed. B.H.V. Topping and M. Papadrakakis (Civil-Comp Press), pp.147--157, 1994.

  131. Jimack, P K, An Optimal Finite Element Mesh for Linear Elastic Structural Analysis. In Advances in Post and Preprocessing for Finite Element Technology, ed. M. Papadrakakis and B.H.V. Topping (Civil-Comp Press), pp.157--167, 1994.

    1993

  132. Emerson, D R, Franklin, T N, Jimack, P K & Leschziner, M A, Parallel CFD at the UK-North Pilot Centre. ERCOFTAC Bulletin, vol.18, pp.26-33, 1993.

  133. Jimack, P K, A New Approach to Finite Element Error Control for Time-Dependent Problems. In Numerical Methods for Fluid Dynamics 4, ed. M.J. Baines and K.W. Morton (OUP), pp.567--573, 1993.

  134. Hodgson, D C & Jimack, P K, Efficient Mesh Partitioning for Parallel PDE Solvers on Distributed Memory Machines. In Proceedings of the Sixth SIAM Conference on Parallel Processing for Scientific Computing, ed. R.F. Sincovec et al. (SIAM), pp.962--970, 1993.

    1992

  135. Jimack, P K, On Steady and Large-Time Solutions of the Moving Finite Element Equations for One-Dimensional Diffusion Problems, IMA Journal of Numerical Analysis, vol.12, pp.545-564, 1992.

  136. Ball, J, Jimack, P K & Tang Qi, Elastostatics in the Presence of a Temperature Distribution or Inhomogeneity, ZAMP, vol.43, pp.943-973, 1992.

  137. Jimack, P K, A New Method of Spatial Error Control for the Finite Element Method on Convection Dominated Problems. In Proc. of the Seventh IMACS Conference on Numerical Methods for PDEs, ed. R. Vichnevetsky et al. (IMACS), pp.378--382, 1992.

    1991

  138. Jimack, P K & Wathen, A J, Temporal Derivatives in the Finite Element Method on Continuously Deforming Grids, SIAM Journal of Numerical Analysis, vol.28, pp.990-1003, 1991.


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