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.
Baines, M J; Hubbard, M E; Jimack, P K. A Lagrangian Moving Finite Element Method incorporating Monitor Functions in: Lu, Y Y, Sun, W W & Tang, T (editors) Advances in Scientific Computing and Applications, pp. 32-44 Science Press, Beijing. 2004.
Berzins, M. Variable order finite elements and positivity preservation for hyperbolic PDE's. Applied Numerical Mathematics, vol. 48, pp. 271-292. 2004.
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 5th European Coating Symposium, ECS2003, pp. 32-39. 2004.
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: 12th International Coating Science and Technology Symposium, pp. 117-122. 2004.
Gaskell, P; Jimack, P K; Sellier, M; Thompson, H M. Efficient and accurate time adaptive multigrid simulations of droplet spreading. International Journal for Numerical Methods in Fluids, vol. 45, pp. 1161-1186. 2004.
Gaskell, P; 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. Journal of Fluid Mechanics, vol. 509, pp. 253-280. 2004.
Goodyer, C E; Fairlie, R; Hart, D E; Berzins, M; Scales, L E. Calculation of friction in steady-state and transient EHL simulations of transient processes in tribology in: Lubrecht, A & Dalmaz, G (editors) Transient Processes in Tribology: Proceedings of the 30th Leeds-Lyon Symposium on Tribology Elsevier Science. 2004.
Holbrey, Richard; Bulpitt, Andrew; Brodlie, Ken; Walkley, Mark; Scott, Julian. A model for virtual suturing in vascular surgery in: Proceedings Theory and Practice of Computer Graphics 2004, pp. 50-58 IEEE Computer Society Press. 2004.
Jimack, P K. Adaptive algorithms for free-surface flow problems in: Topping, B H V & Mota Soares, C A (editors) Progress in Engineering Computational Technology, pp. 57-80 Saxe-Coburg Publications. 2004.
Jimack, P K. Parallel and multilevel algorithms for computational partial differential equations in: Qingping, G (editors) Proceedings of the 2004 International Symposium on Distributed Computing and Applications to Business, Engineering and Science (DCABES 2004), pp. 305-310 Hubei Science and Technology Press. 2004.
Mahmood, R; Jimack, P K. Locally optimal unstructured finite element meshes in 3 dimensions. Computers and Structures, vol. 82, pp. 2105-2116. 2004.
Walkley, M A; Gaskell, P H; Jimack, P K; Kelmanson, M; Summers, J L; Wilson, M C T. On the calculation of normals in free-surface flow problems. Communications in Numerical Methods in Engineering, vol. 20, pp. 343-351. 2004.
Baines, M J; Hubbard, M E; Jimack, P K. Adaptive finite element solutions of time-dependent partial differential equations using moving mesh algorithms in: Rodrigues AE, de Oliveira P, Castro JA & Ferreira JA (editors) Modelling and Simulation in Chemical Engineering, Centro Internacional de Matematica 22. 2003.
Berzins, Martin; Wilson, Alan G. Spatial interaction models and Fisher information: a new calibration algorithm. Environment and Planning A, vol. 35, pp. 2161-2176. 2003.
Fairlie, R; Goodyer, C E; Berzins, M; Scales, L E. Numerical modelling of thermal effects in elastohydrodynamic lubrication solvers in: Dowson, D, Lubrecht, A A, Dalmaz, G & Priest M (editors) Tribological Research and Design for Engineering Systems, Proceedings of the 29th Leeds-Lyon Symposium on Tribology, pp. 675-683 Elsevier Science. 2003.
Goodyer, C E; Berzins, M; Jimack, P K; Scales, L E. Grid-based numerical optimisation in a problem solving environment in: Cox, S J (editors) Proceedings of the UK e-Science All Hands Meeting 2003, pp. 854-861 EPSRC. 2003.
Hubbard, M E. Multidimensional upwind schemes for the shallow water equations in: Numerical Simulation of Hydrodynamic Systems, pp. 131-154 Universidad de Zaragoza. 2003.
Hubbard, M E; Berzins, M. A positivity preserving finite element method for hyperbolic partial differential equations in: Armfield S, Morgan P & Srinivas K (editors) Computational Fluid Dynamics 2002, pp. 205-210 Springer. 2003.
Hubbard, M E; Nikiforakis, N. A three-dimensional, adaptive, Godunov-type model for global atmospheric flows. Monthly Weather Review, vol. 131, pp. 1848-1864. 2003.
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.
Leung, C H; Berzins, M. A computational model for organism growth based on surface mesh generation. Journal of Computational Physics, vol. 188, pp. 75-99. 2003.
Baines, M J; Leary, SJ; Hubbard, M E. Multidimensional least squares fluctuation distribution schemes with adaptive mesh movement for steady hyperbolic equations. SIAM Journal on Scientific Computing, vol. 23, pp. 1485-1502. 2002.
Bank, R E; Jimack, P K. A new parallel domain decomposition preconditioner I: application with an adaptive parallel finite element solver in: Topping, B H V (editors) Computational Mechanics Using High Performance Computing, pp. 225-242 Saxe-Coburg Publications. 2002.
Bank, R E; Jimack, P K. A new parallel domain decomposition preconditioner II: generalization to a mesh-free parallel solver in: Topping, B H V (editors) Computational Mechanics Using High Performance Computing, pp. 243-259 Saxe-Coburg Publications. 2002.
Bank, R E; Jimack, P K; Nadeem, S A; Nepomnyaschikh, S V. A weakly overlapping domain decomposition preconditioner for the finite element solution of elliptic partial differential equations. SIAM Journal on Scientific Computing, vol. 23, pp. 1818-1842. 2002.
Brodlie, K; Mason, S; Thompson, M; Walkley, M; Wood, J. Reacting to a crisis: benefits of collaborative visualization and computational steering in a grid environment in: Proceedings of the UK e-Science All Hands Conference EPSRC. 2002.
Gaskell, P; 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. 2002.
Ghorai, S; Tomlin, A S; Berzins, Martin. Resolution of pollutant concentrations using a fully 3D adaptive model in: Chock, D P & Carmichael, G R (editors) Atmospheric Modeling, pp. 61-80 Springer. 2002.
Goodyer, C E; Berzins, M. Eclipse and Ellipse: PSEs for EHL solutions using IRIS Explorer and SCIRun in: Sloot, P M A, Tan, C J K, Dongarra, J J & Hoekstra, A G (editors) Computational Science - ICCS 2002, Proceedings, Part I, pp. 523-532 Springer. 2002.
Goodyer, Christopher; Wood, Jason; Berzins, Martin. A parallel grid based PSE for EHL problems in: Fagerholm, J, Haataja, J, Jorvinen, J, Lyly, M, Raback, P & Savolainen, V (editors) Applied Parallel Computing Advanced Scientific Computing 6th International Conference, PARA 2002, pp. 521-530 Springer. 2002.
Hubbard, M E. Adaptive mesh refinement for three-dimensional off-line tracer advection over the sphere. International Journal for Numerical Methods in Fluids, vol. 40, pp. 369-377. 2002.
Hubbard, M E; Dodd, N. A 2D numerical model of wave run-up and overtopping. Coastal Engineering, vol. 47, pp. 1-26. 2002.
Jimack, P K. Domain decomposition preconditioning for parallel PDE solvers in: Topping, B H V & Bittnar, Z (editors) Engineering Computational Technology, pp. 193-219 Saxe-Coburg Publications. 2002.
Jimack, P K; Mahmood, R; Walkley, M A; Berzins, M. A multilevel approach for obtaining locally optimal finite element meshes. Advances in Engineering Software, vol. 33, pp. 403-415. 2002.
Jimack, P K; Nadeem, S A. A parallel domain decomposition algorithm for the adaptive finite element solution 3-D convection-diffusion problems in: Sloot, P M A, Tan, C J K, Dongarra, J J & Hoekstra, A G (editors) Computational Science - ICCS 2002, Proceedings, Part II, pp. 797-805 Springer. 2002.
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: Wilders, P, Ecer, A, Periaux, J, Satofuka, N & Fox, P (editors) Parallel Computational Fluid Dynamics 2002, pp. 191-198 North-Holland. 2002.
Mahmood, R; Jimack, P K. Locally optimal unstructured finite element meshes in three dimensions in: Topping, B H V & Bittnar, Z (editors) Proceedings of the Third International Conference on Engineering Computational Technology Civil-Comp Press. 2002.
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. International Journal for Numerical Methods in Fluids, vol. 40, pp. 1571-1579. 2002.
Walkley, M A; Jimack, P K; Berzins, M. Anisotropic adaptivity for the finite element solutions of three dimensional convection-dominated problems. International Journal for Numerical Methods in Fluids, vol. 40, pp. 551-559. 2002.
Walkley, M; Berzins, M. A finite element method for the two-dimensional extended Boussinesq equations. International Journal for Numerical Methods in Fluids, vol. 39, pp. 865-885. 2002.
Walkley, M; Wood, J; Brodlie, K. A distributed co-operative problem solving environment in: Sloot, P M A, Tan, C J K, Dongarra, J J & Hoekstra, A G (editors) Computational Science - ICCS 2002, Proceedings, Part I, pp. 853-861 Springer. 2002.
Ahmad, I; Berzins, Martin. MOL solvers for hyperbolic PDEs with source terms. Mathematics and Computers in Simulation, vol. 1927, pp. 1-11. 2001.
Bank, Randolph E; Jimack, Peter 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.
Berzins, M. Modified mass matrices and positivity preservation for hyperbolic and parabolic PDE's. Communications in Numerical Methods in Engineering, vol. 17, pp. 659-666. 2001.
Berzins, M; Tomlin, AS; Ghorai, S; Ahmad, I; Ware, JM. Unstructured mesh adaptive MOL solvers for atmospheric reacting flow problems in: Alain Vande Wouwer, Ph. Saucez & W. E Schiesser (editors) The Adaptive Method of Lines, pp. 317-351 CRC Press. 2001.
Berzins, Martin; Durbeck, LJK. Unstructured mesh solvers for hyperbolic PDEs with source terms: error estimates and mesh quality in: Toro, E F (editors) Godunov Methods: Theory and Applications, pp. 117-123 Kluwer Academic Publishers. 2001.
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.
Garcia-Navarro, P; Brufau, P; Hubbard, M E. Upwinding in two dimensions in: Toro, E F (editors) Godunov Methods: Theory and Applications, pp. 343-365 Kluwer Academic Publishers. 2001.
Goodyer, C E; Fairlie, R; Berzins, M; Scales, LE. Adaptive mesh methods for elastohydrodynamic lubrication in: Proceedings of ECCOMAS Computational Fluid Dynamics Conference 2001. 2001.
Goodyer, CE; Fairlie, R; Berzins, M; Scales, LE. Adaptive techniques for elastohydrodynamic lubrication solvers in: Dalmaz, G, Lubrecht, A A, Dowson, D & Priest M (editors) Tribology Research: From Model Experiment to Industrial Problem, Proceedings of the 27th Leeds-Lyon Symposium on Tribology, pp. 709-719 Elsevier Science. 2001.
Hubbard, M E. Adaptive mesh refinement for three-dimensional off-line tracer advection over the sphere in: Baines, MJ (editors) Numerical Methods for Fluid Dynamics VII, pp. 355-361 ICFD. 2001.
Hubbard, M E. On the accuracy of one dimensional models of steady converging/ diverging open channel flows. International Journal for Numerical Methods in Fluids, vol. 35, pp. 785-808. 2001.
Hubbard, M E; Garcia-Navarro, P. Balancing source terms and flux gradients in finite volume schemes in: Toro, E F (editors) Godunov Methods: Theory and Applications, pp. 477-483 Kluwer Academic Publishers. 2001.
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: Sakellariou, R, Keane, J, Gurd, J & Freeman, L (editors) Euro-Par 2001: Parallel Processing, pp. 592-601 Springer. 2001.
Lagzi, I; Tomlin, A S; Turanyi, T; Haszpra, L; Berzins, M; Meszaros, R. Modelling photochemical air pollution in Hungary using an adaptive grid model in: Sportisse, B (editors) Air Pollution Modelling and Simulation, pp. 264-275 Springer. 2001.
Lagzi, I; Tomlin, AS; Turanyi, T; Meszaros, R; Berzins, M. The simulation of photochemical smog episodes in Hungary and Central Europe using adaptive gridding models. Alexandrov, V N, Dongarra, J J, Juliana, B A, Renner, R S & Tan, C J K (editors) Computational Science - ICCS 2001, Proceedings Part II, pp. 67-77 Springer. 2001.
Peterson, R C; Jimack, P K; Kelmanson, M. On the stability of viscous, free-surface flow supported by a rotating cylinder. Proceedings of the Royal Society of London A: Mathematical, Physical and Engineering Sciences, vol. 457, pp. 1427-1445. 2001.
Walkley, M; Jimack, P K; Berzins, M. Anisotropic adaptivity for the finite element solutions of three dimensional convection-dominated problems in: Baines, MJ (editors) Numerical Methods for Fluid Dynamics VII, pp. 525-531 ICFD. 2001.
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. 2001.
Walkley, Mark; Jimack, P K; Berzins, Martin. Mesh quality for three-dimensional finite element solutions on anisotropic meshes in: Neittaanmaki, P & Krizek, M (editors) Finite Element Methods: Three-Dimensional Problems, pp. 310-321 Gakkotosho Co. 2001.
Apel, Th; Berzins, M; Jimack, P K; Kunert, G; Plaks, A; Tsukerman, I; Walkley, Mark. Mesh shape and anisotropic elements in: Whiteman, J R (editors) The Mathematics of Finite Elements and Applications X, pp. 367-376 Ellis Horwood. 2000.
Berzins, M. A data-bounded quadratic interpolant on triangles and tetrahedra. SIAM Journal on Scientific Computing, vol. 22, pp. 177-197. 2000.
Berzins, M. A new metric for dynamic load balancing. Applied Mathematical Modelling, vol. 25, pp. 141-151. 2000.
Berzins, M. Solution-based mesh quality indicators for triangular and tetrahedral meshes. Journal of Computational Geometry and Applications, vol. 10, pp. 333-346. 2000.
Berzins, M; Durbeck, LJK; Jimack, P K; Walkley, Mark. Mesh quality and moving and meshes for 2D and 3D unstructured mesh solvers in: Weatherill, N P and Deconink, H (editors) Von Karman Institute for Fluid Mechanics Lectures notes for 31st Lecture Series on Computational Fluid Mechanics Von Karman Institute for Fluid Mechanics. 2000.
Berzins, Martin. An introduction to mesh quality in: Weatherill, N P and Deconink, H (editors) Von Karman Institute for Fluid Mechanics Lectures notes for 31st Lecture Series on Computational Fluid Mechanics Von Karman Institute for Fluid Mechanics. 2000.
Brown, B M; Davis, E; Jimack, P K; Mihajlovic, M. A numerical investigation of the solution of a class of fourth order eigenvalue problems. Proceedings of the Royal Society of London A: Mathematical, Physical and Engineering Sciences, pp. 1505-1521. 2000.
Ghorai, S; Tomlin, AS; Berzins, Martin. Resolution of pollutant concentrations in the boundary layer using a fully 3D adaptive gridding technique. Atmospheric Environment, vol. 34, pp. 2851-2863 Elsevier Science. 2000.
Hubbard, M E; Garcia-Navarro, P. Flux difference splitting and the balancing of source terms and flux gradients. Journal of Computational Physics, vol. 165, pp. 89-125. 2000.
Hubbard, M E; Roe, P L. Compact high-resolution algorithms for time-dependent advection on unstructured grids. International Journal for Numerical Methods in Fluids, vol. 33, pp. 711-736. 2000.
Jimack, P K. Techniques for parallel adaptivity in: Topping, B V H & Lammer, L (editors) High Performance Computing for Computational Mechanics, pp. 105-118 Saxe-Coburg Publications. 2000.
Jimack, P K; Mahmood, R. A multilevel approach for obtaining locally optimal finite element meshes in: Topping, B H V (editors) Developments in Engineering Computational Technology, pp. 191-197 Civil-Comp Press. 2000.
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: Arabnia, HR (editors) Proceedings of the 2000 International Conference on Parallel and Distributed Processing Tecniques and Applications (PDPTA'2000), vol. III, pp. 1517-1523 CSREA Press. 2000.
Jimack, P K; Touheed, N. Developing parallel finite element software using MPI in: Topping, B V H & Lammer, L (editors) High Performance Computing for Computational Mechanics, pp. 15-38 Saxe-Coburg Publications. 2000.
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.