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Baines, M J; Leary, SJ; Hubbard, M E. A finite volume method for steady hyperbolic equations incorporating mesh movement in: Vilsmeier, R, Benkhaldoun, F, Hanel, D (editors) Finite Volumes for Complex Applications - Problems and Perspectives, pp. 787-794. 1999.
Berzins, M. A solution-based H1 norm triangular and tetrahedral mesh quality indicator in: Bern, M, Flaherty, J A & Luskin, M (editors) Grid Generation and Adaptive Algorithms, vol. 113, pp. 77-89 Springer. 1999.
Berzins, M. Mesh quality - geometry, error estimates or both. Engineering with Computers, vol. 15, pp. 236-247. 1999.
Berzins, Martin; Selwood, Paul M; Nash, Jonathan. Parallel solution of reacting flow problems using unstructured tetrahedral meshes in: Proceedings of the Ninth SIAM Conference on Parallel Processing for Scientific Computing 1999 SIAM Press. 1999.
Childs, T H C; Berzins, M; Ryder, G J; Towtoni, A. A selective laser sintering of an amorphous polymer. IMechE Proceedings Part B, pp. 333-349. 1999.
Goodyer, C; Fairlie, R; Berzins, M; Scales, L. An in-depth investigation of the multigrid approach for steady and transient EHL problems in: Dowson, D (editors) Thinning Films and Tribological Interfaces - Proceedings of the 26th Leeds-Lyon Symposium, pp. 95-102 Elsevier Science. 1999.
Hubbard, M E. Multidimensional slope limiters for MUSCL-type finite volume schemes on unstructured grids. Journal of Computational Physics, vol. 155, pp. 54-74. 1999.
Jimack, P K. An overview of dynamic load-balancing for parallel adaptive computational mechanics codes in: Topping, B V H (editors) Parallel and Distributed Processing for Computational Mechanics, pp. 350-369 Saxe-Coburg Publications. 1999.
Jimack, P K; Hodgson, D C. Parallel preconditioners based on domain decomposition in: Topping, B V H (editors) Parallel and Distributed Processing for Computational Mechanics, pp. 207-223 Saxe-Coburg Publications. 1999.
Jimack, P K; Touheed, N. An introduction to MPI for computational mechanics in: Topping, B V H (editors) Parallel and Distributed Processing for Computational Mechanics, pp. 24-45 Saxe-Coburg Publications. 1999.
Nash, Jonathan; Berzins, Martin; Selwood, Paul. A structured approach to the support of a parallel adaptive 3D CFD code in: Amestoy, P et al (editors) EuroPar'99, pp. 651-658 Springer. 1999.
Nurgat, Elyas; Berzins, Martin; Scales, Laurence. Solving EHL problems using iterative, multigrid, and homotopy methods. ASME Journal of Tribology, vol. 121, pp. 28-34. 1999.
Pennington, S V; Jimack, P K; McFarlane, K. Adaptive numerical simulation of the remediation of soil contamination in in-situ gas venting. Computational Geosciences, vol. 3, pp. 135-160. 1999.
Peterson, R C; Jimack, P K; Kelmanson, M A. The solution of two-dimensional free-surface problems using automatic mesh generation. International Journal for Numerical Methods in Fluids, vol. 31, pp. 937-960. 1999.
Selwood, P; Berzins, M. Parallel unstructured tetrahedral mesh adaptation: algorithms, implementation and scalability. Concurrency: Practice and Experience, vol. 11, pp. 863-884. 1999.
Sims, P; Hubbard, M E; Baines, M J. Multidimensional upwinding for the Euler equations in: International Workshop on New Models and Numerical Codes for Shock Wave Processes in Condensed Media, pp. 781-786. 1999.
Tomlin, A; Ghorai, S; Hart, G; Berzins, M. The use of 3-D adaptive unstructured meshes in air pollution modelling in: Zlatev, Z, Brandt, J, Builtjes, P J H, Carmichael, G, Dimov, I, Dongarra, J, van Dop, H, Georgiev, K, Hass, H, San Jose, R (editors) Large-Scale Computations in Air Pollution Modelling, pp. 339-348 Kluwer Academic Publishers. 1999.
Tomlin, Alison Sarah; Ghorai, Saktipada; Hart, Gordon; Berzins, Martin. 3D adaptive unstructured meshes for air pollution modelling. Environmental Management and Health, pp. 267-274. 1999.
Walkley, M; Berzins, M. A finite element model for the one-dimensional extended Boussinesq equations. International Journal for Numerical Methods in Fluids, vol. 29, pp. 143-157. 1999.
Baines, M J; Hubbard, M E. Multidimensional upwinding with grid adaptation in: Toro, EF and Clarke, JF (editors) Numerical Methods for Wave Propagation, pp. 35-54 Kluwer Academic Publishers. 1998.
Berzins, M. A solution-based triangular and tetrahedral mesh quality indicator. SIAM Journal on Scientific Computing, vol. 19, pp. 2051-2060. 1998.
Berzins, M. Mesh quality - geometry, error estimates or both? in: Proceedings of 7th International Meshing Roundtable, vol. 98-2250, pp. 229-237 Sandia National Labs. 1998.
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.
Berzins, M; Fairlie, R; Pennington, S V; Ware, J M; Scales, L E. SPRINT2D: adaptive software for PDEs. ACM Transactions on Mathematical Software, vol. 24, pp. 475-499. 1998.
Hubbard, M E; Roe, P L. Multidimensional upwind fluctuation distribution schemes for time dependent problems in: Baines, M J (editors) Numerical Methods for Fluid Dynamics VI, pp. 363-369 ICFD. 1998.
Johnson, C R; Berzins, M; Zhukov, L; Coffey, R. SCIRun: application to atmospheric dispersion problems using unstructured meshes in: Baines, M J (editors) Numerical Methods for Fluid Dynamics VI, pp. 111-122 ICFD. 1998.
Pan, J; Sheppard, C G W; Tindall, A; Berzins, M; Pennington, S V; Ware, J M. End gas inhomogeneity, autoignition and knock in: Proceedings of the SAE 1998 Autumn Meeting, vol. SAE 982616. 1998.
Pennington, S V; Jimack, P K. Adaptive numerical simulation of the remediation of soil contamination by in-situ gas venting in: Baines, M J (editors) Numerical Methods for Fluid Dynamics VI, pp. 443-449 ICFD. 1998.
Peterson, R C; Jimack, P K; Kelmanson, M A. Automatic generation of finite element meshes for evolving gas/liquid interfaces with arbitrary geometry in: Baines, M J (editors) Numerical Methods for Fluid Dynamics VI, pp. 467-473 ICFD. 1998.
Selwood, P M; Berzins, M; Nash, J M; Dew, P M. Portable parallel adaption of unstructured 3D meshes in: Ferreira, A, Rolim, J, Simon, H & Teng, S-H (editors) Solving Irregularly Structured Problems in Parallel 5th International Symposium IRREGULAR'98, pp. 56-67 Springer. 1998.
Sleigh, P A; Berzins, M; Gaskell, P H; Wright, N G. An unstructured finite-volume algorithm for predicting flow in rivers and estuaries. Computers & Fluids, vol. 27, pp. 479-508. 1998.
Touheed, N; Selwood, P M; Jimack, P K; Berzins, M. A comparison of some dynamic load balancing algorithms for a parallel adaptive flow solver in: Topping, B H V (editors) Advances in Computational Mechanics with High Performance Computing, pp. 153-162 Civil-Comp Press. 1998.
Touheed, N; Selwood, P; Jimack, P K; Berzins, M. Parallel dynamic load-balancing for the solution of transient CFD problems using adaptive tetrahedral meshes in: Emerson D R, Ecer, A, Periaux, J, Satofuka, N & Fox, P (editors) Parallel Computational Fluid Dynamics - Recent Developments and Advances Using Parallel Computers, pp. 81-88 Elsevier Science. 1998.
Ahmad, I; Berzins, M. An algorithm for ODEs from atmospheric dispersion problems. Applied Numerical Mathematics, vol. 25, pp. 137-149. 1997.
Berzins, M. Solution-based mesh quality for triangular and tetrahedral meshes in: Proceedings of 6th International Meshing Roundtable, pp. 427-436 Sandia National Labs. 1997.
Berzins, M; Childs, T H C; Ryder, G J. The selective laser sintering of polycarbonate. CIRP Annals, vol. 45, pp. 187-190. 1997.
Berzins, M; Pennington, S V; Pratt, P R; Ware, J M. SPRINT2D software for convection dominated PDEs in: Arge, E, Bruaset, A M & Langtangen, H P (editors) Modern Software Tools for Scientific Computing, pp. 63-80 Birkhauser. 1997.
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.
Creasey, D J; Heard, D E; Pilling, M; Whitaker, B J; Berzins, M; Fairlie, R. Visualisation of a supersonic free-jet expansion using laser-induced fluorescence spectroscopy: Application to the measurement of rate constants at ultralow temperatures. Applied Physics B: Lasers and Optics, vol. 65, pp. 375-391. 1997.
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.
Hubbard, M E; Baines, M J. Conservative multidimensional upwinding for the steady two-dimensional shallow water equations. Journal of Computational Physics, vol. 138, pp. 419-448. 1997.
Jimack, P K. An optimal finite element mesh for elastostatic structural analysis problems. Computers and Structures, vol. 64, pp. 197-208. 1997.
Selwood, P M; Verhoeven, N A; Nash, J M; Berzins, M; Dew, P M; Morgan, K. Parallel mesh generation and adaptivity: partitioning and analysis in: Schiano, P, Ecer, A, Periaux, J & Satofuka, N (editors) Parallel Computational Fluid Dynamics: Algorithms and Results using Advanced Computers, pp. 166-173 Elsevier Science. 1997.
Selwood, P; Berzins, M; Dew, P M. 3D parallel mesh adaptivity: data structures and algorithms in: Heath, M,Torczon, V, Astfalk, G, Bjorstad, P E, Karp, A H, Koelbel, C H, Kumar, V, Lucas, R F, Watson, L T & Womble, D (editors) Proceedings of the Eighth SIAM Conference on Parallel Processing for Scientific Computing SIAM Press. 1997.
Speares, W; Berzins, M. A 3D unstructured mesh adaption algorithm for time dependent shock dominated problems. International Journal for Numerical Methods in Fluids, vol. 25, pp. 81-104. 1997.
Tomlin, A; Berzins, M; Ware, J M; Smith, J; Pilling, M. On the use of adaptive gridding methods for modelling chemical transport from multi-scale sources. Atmospheric Environment, vol. 31, pp. 2945-2959 Elsevier Science. 1997.
Touheed, N; Jimack, P K. Dynamic load-balancing for adaptive PDE solvers with hierarchical refinement in: Heath, M,Torczon, V, Astfalk, G, Bjorstad, P E, Karp, A H, Koelbel, C H, Kumar, V, Lucas, R F, Watson, L T & Womble, D (editors) Proceedings of the Eighth SIAM Conference on Parallel Processing for Scientific Computing SIAM Press. 1997.
Touheed, N; Jimack, P K. Improved parallel mesh generation through dynamic load-balancing in: Topping, B H V (editors) Advances in Computational Mechanics with High Performance Computing, pp. 105-111 Civil-Comp Press. 1997.
Berzins, M; Ware, J M. Solving convection and convection-reaction problems using MOL. Applied Numerical Mathematics, vol. 20, pp. 83-99. 1996.
Hodgson, D C; Jimack, P K. Efficient parallel generation of partitioned, unstructured meshes. Advances in Engineering Software, vol. 27, pp. 59-70. 1996.
Hodgson, D C; Jimack, P K; Selwood, P; Berzins, M. Scalable parallel generation of partitioned, unstructured meshes in: Ecer, A, Periaux, J, Satofuka, N & Taylor, S (editors) Parallel Computational Fluid Dynamics - Implementations and Results Using Parallel Computers, pp. 665-672 Elsevier Science. 1996.
Jimack, P K. A best approximation property of the moving finite element method. SIAM Journal on Numerical Analysis, vol. 33, pp. 2286--2302. 1996.
Jimack, P K. Optimal eigenvalue and asymptotic large-time approximations using the moving finite-element method. IMA Journal of Numerical Analysis, vol. 16, pp. 389-398. 1996.
Nurgat, E; Berzins, M. A new relaxation scheme for solving EHL problems in: Taylor, C M (editors) Proceedings of the 23rd Leeds-Lyon Symposium on Tribology. 1996.
Nurgat, E; Berzins, M. Multigrid methods for EHD problems in: Melson, M D, Manteuffel, T S, McCormick, S F & Douglas, C G (editors) Proceedings of the Seventh Copper Mountain Conference on Multigrid Methods, vol. 2, pp. 623-636 NASA Conference Publication 3339. 1996.
Pratt, P; Berzins, M. Shock preserving quadratic interpolation for visualisation on triangular meshes. Computers & Graphics, vol. 20, pp. 723-730. 1996.
Ryder, G J; Berzins, M; Childs, T H C. Modelling simple feature creation in selective laser sintering in: Barlow J W (editors) Proceedings of the 7th Symposium on Solid Free Form Lubrication. 1996.
Sleigh, P A; Berzins, M; Gaskell, P H. A reliable and accurate technique for the modelling of complex hydraulic flows in: Benkhaldoun, F & Vilsmeier, R (editors) Finite Volumes for Complex Applications: Problems and Perspectives, pp. 635-642 Hermes Science. 1996.
Berzins, M. Temporal error control for convection dominated equations in two space dimensions. SIAM Journal on Scientific Computing, pp. 558-580. 1995.
Berzins, M; Childs, T H C; Dalgarno, K W; Ryder, G J; Stein, G. Densification and distortion in selective laser sintering of polycarbonate in: Barlow, J W (editors) Proceedings of the 6th Symposium on Solid Free Form Lubrication, pp. 196-203. 1995.
Berzins, M; Gaskell, P H; Sleigh, A; Tomlin, A; Ware, J M. An adaptive CFD solver for time-dependent environmental flow problems in: Morton, K W & Baines, M J (editors) Numerical Methods for Fluid Dynamics V, pp. 311-317 Oxford University Press. 1995.
Berzins, M; Ware, J M. An automated finite element solver for time-dependent fluid-flow problems in: Whiteman, J R (editors) MAFELAP93 - Highlights, pp. 299-306 John Wiley & Sons. 1995.
Berzins, M; Ware, J M. Positive cell centered finite volume discretization methods for hyperbolic equations on irregular meshes. Applied Numerical Mathematics, pp. 417-438. 1995.
Capon, P J; Jimack, P K. An adaptive finite element method for the compressible Navier-Stokes equations in: Morton, K W & Baines, M J (editors) Numerical Methods for Fluid Dynamics V, pp. 327-334 Oxford University Press. 1995.
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 Applications, pp. 25-36. 1995.
Garcia-Navarro, P; Hubbard, M E; Priestley, A. Genuinely multidimensional upwinding for the 2d shallow water equations. Journal of Computational Physics, vol. 121, pp. 79-93. 1995.
Garcia-Navarro, P; Hubbard, M E; Priestley, A; Baines, M J. Two dimensional shallow water flows on unstructured grids in: Proceedings of 1st Asian CFD Conference, pp. 335-340. 1995.
Hodgson, D C; Jimack, P K. A parallel generator of partitioned unstructured meshes integrated with a parallel adaptive FE solver in: Proceedings of the Fifth International Conference on Reliability of FE Methods for Engineering Applications, pp. 236-247. 1995.
Hodgson, D C; Jimack, P K. Efficient mesh partitioning for parallel elliptic differential equation solvers. Computing Systems in Engineering, pp. 1-12. 1995.
Hubbard, M E; Baines, M J. Multidimensional upwinding and grid adaptation in: Morton, K W & Baines, M J (editors) Numerical Methods for Fluid Dynamics V, pp. 431-437 Oxford University Press. 1995.
Sleigh, P A; Gaskell, P H; Berzins, M; Ware, J M; Wright, N G. A reliable and accurate technique for the modelling of practically occurring open channel flow in: Proceedings of the Ninth International Conference on Numerical Methods in Laminar and Turbulent Flow, pp. 881-892 Pineridge Press. 1995.
Speares, W; Berzins, M. A fast unstructured mesh adaptation algorithm with time dependent Euler shock diffraction calculations in: Hafez, M & Oshima, K (editors) Proceedings of the 6th International Symposium on Computational Fluid Dynamics, vol. III, pp. 1181-1188. 1995.
Tomlin, A; Ware, J M; Smith, J; Berzins, M; Pilling, M. Efficient high resolution methods for air pollution models in: Air Pollution III, vol. 1, pp. 201-208 Computational Mechanics Publications. 1995.
Walshaw, C; Berzins, M. Adaptive time-dependent CFD on distributed unstructured meshes in: Ecer, A, Hauser, J, Leca, P & Periaux, J (editors) Parallel Computational Fluid Dynamics: New Trends and Advances, pp. 191-198 Elsevier Science. 1995.
Walshaw, C; Berzins, M. Dynamic load balancing for PDE solvers on adaptive unstructured meshes. Concurrency: Practice and Experience, vol. 7, pp. 17-28. 1995.
Ware, J M; Berzins, M. Adaptive finite volume methods for time-dependent PDEs in: Babuska, I (editors) Modeling, Mesh Generation and Adaptive Numerical Methods for PDEs, pp. 417-430 Springer. 1995.