Professor John Whiteman
Director of BICOMProfessor
Contact
|
Mathematical Sciences
John Crank 305 Brunel University Uxbridge UB8 3PH United Kingdom |
Tel: +44 (0)1895 265185 Email: john.whiteman@brunel.ac.uk |
Research Interests
Numerical methods for partial differential equations, particularly in the context of solid mechanics. Finite element methods for problems of linear elasticity, elastoplasticity and viscoelasticity; gradient recovery and superconvergence. Treatment of fracture problems, particularly viscoelastic fracture. Industrial applications of continuum mechanics problems.
University Research Centre Membership
Publications
Journals
(In Press) Shaw, S., Warby, M. and Whiteman, J., Discretization Error and Modelling Error in the Context of the Rapid Inflation of Hyperelastic Membranes, IMA Journal of Numerical Analysis BURA
(2007) Riviere, B., Shaw, S. and Whiteman, J.R., Discontinuous Galerkin Finite Elements Method for Dynamics Linear Solid Viscoelasticity, Numer. Methods Partial Differential Equations 23 : 1149-1166
(2006) Karamanou, M., Warby, M.K. and Whiteman, J.R., Computational Modelling of Thermoforming Processes in the Case of Finite Viscoelastic Materials, Computer Methods in Applied Mechanics and Engineering 195 : 5220-5238
(2005) Karamanou, M., Shaw, S., Warby, M.K. and Whiteman, J.R., Models, Algorithms and Error Estimation for Computational Viscoelasticity, Computer Methods in Applied Mechanics and Engineering 194 : 245-265
(2004) Kuczma, M.S., Litewka, P., Rakowski, J. and Whiteman, J.R., A Variational Inequality Approach to an Elastoplastic Plate-Foundation System, Foundations of Civil and Environmental Engineering 4 : 31-48
(2004) Shaw, S. and Whiteman, J.R., A Posteriori Error Estimates for Space-Time Finite Element Approximation of Quasistatic Hereditary Linear Viscoelasticity Problems, Computer Methods in Applied Mechanics and Engineering 193 : 5551-5572
(2003) Jiang, W.-G., Warby, M.K., Whiteman, J.R., Abbott, S., Shorter, W., Warwick, P., Wright, T., Munro, A. and Munro, B., Finite Element Modelling of High Air Pressure Forming Processes for Polymer Sheets, Computational Mechanics 31 : 163-172
(2003) Ludwig, M.J., Shaw, S. and Whiteman, J.R., Adaptive Numerical Solution of Thick Plates Using First-Order Shear Deformation Theory. Part 1: Error Estimates, Numerical Methods for Partial Differential Equations 19 (1) : 44-66
(2003) Ludwig, M.J., Shaw, S. and Whiteman, J.R., Adaptive Numerical Solution of Thick Plates Using First-Order Shear Deformation Theory. Part 2: Adaptivity, Numerical Methods for Partial Differential Equations 19 (2) : 227-253
(2003) Riviere, B., Shaw, S., Wheeler, M.F. and Whiteman, J.R., Discontinuous Galerkin Finite Element Methods for Linear Elasticity and Quasistatic Linear Viscoelasticity, Numerische Mathematik 95 (2) : 347-376
(2003) Warby, M.K., Whiteman, J.R., Jiang, W.-G., Warwick, P. and Wright, T., Finite Element Simulation of Thermoforming Processes for Polymer Sheets, Mathematics and Computers in Simulation 61 : 209-218
(2001) Kirby, J.A., Warby, M.K. and Whiteman, J.R., Superconvergence and an Error Estimator for the Finite Element Analysis of Beams and Frames, Numerical Methods Partial Differential Equations 17 (2) : 169-197
(2001) Shaw, S. and Whiteman, J.R., Optimal Long-Tine Lp(O,T) Stability and Semidiscrete Error Estimates for the Volterra Formulation of the Linear Quasistatic Viscoelasticity Problem, Numerische Mathematik 88 (4) : 743-770
Books
(Accepted) Babuska, I., Whiteman, J.R. and Strouboulis, T., Finite Element Methods, a Posteriori Error Analysis and Adaptivity, Published by OUP; Oxford, UK.
Others
(2007) Szegda, D., Song, J., Warby, M.K. and Whiteman, J.R., Computational Modelling of a Thermoforming Process for Themoplastic Starch, AIP Conference Proceedings: Materials Processing and Design; Modelling, Simulation and Applications 908 : 35-48









