Dr Simon Shaw

Contact

Research Interests

University Research Centre Membership

Publications

Journal Papers

(2013) Shaw, S., Banks, HT., Hu, S., Kenz, Z., Kruse, C., Whiteman, JR., Greenwald, SE., Brewin, MP. and Birch, MJ., Model validation for a noninvasive arterial stenosis detection problem, Journal of Inverse and Ill-Posed Problems Download publication

(2012) Shaw, S., Banks, HT., Hu, S., Kenz, Z., Kruse, C., Whiteman, JR., Greenwald, SE., Brewin, MP. and Birch, MJ., Material parameter estimation and hypothesis testing on a 1D viscoelastic stenosis model: Methodology, Mathematical Biosciences and Engineering Download publication

(2012) Shaw, S., Whiteman, JR. and Warby, MK., Computational Modelling of Some Problems of Elasticity and Viscoelasticity with Applications to Thermoforming Processes, International Journal of Numerical Analysis & Modelling, Series B 3 (3) : 320- 329 Download publication

(2011) Shaw, S., Finite element approximation of a non-local problem in non-fickian polymer diffusion, International Journal of Numerical Analysis and Modeling 8 (2) : 226- 251

(2010) Shaw, S., Finite element approximation of Maxwell’s equations with Debye memory, Advances in Numerical Analysis 2010 1- 28

(2010) Bauermeister, N. and Shaw, S., Finite element approximation of non-Fickian polymer diffusion, IMA Journal of Numerical Analysis 30 (3) : 702- 730 Download publication

(2010) Leach, JA. and Shaw, S., An initial-boundary value problem for the Korteweg-de Vries equation on the negative quarter-plane, Wave Motion 47 (2) : 85- 102 Download publication

(2010) Shaw, S., Warby, MK. and Whiteman, JR., Discretization error and modelling error in the context of the rapid inflation of hyperelastic membranes, IMA Journal of Numerical Analysis 30 (1) : 302- 333 Download publication

(2009) Bauermeister, N. and Shaw, S., Finite-element approximation of non-Fickian polymer diffusion, IMA Journal of Numerical Analysis 702- 730

(2009) Leach, JA. and Shaw, S., An initial-boundary value problem for the Korteweg-de Vries equation on the negative quarter-plane., Wave Motion

(2007) Rivière, B., Shaw, S. and Whiteman, JR., Discontinuous Galerkin finite element methods for dynamic linear solid viscoelasticity problems, Numerical Methods for Partial Differential Equations 23 (5) : 1149- 1166

(2006) Cheesewright, R. and Shaw, S., Uncertainties associated with finite element modelling of Coriolis mass flow meters, Flow Measurement and Instrumentation 17 (6) : 335- 347

(2006) Rivière, B. and Shaw, S., Discontinuous Galerkin finite element approximation of nonlinear non-Fickian diffusion in viscoelastic polymers, SIAM Journal on Numerical Analysis 44 (6) : 2650- 2670

(2005) Karamanou, M., Shaw, S., Warby, MK. and Whiteman, JR., Models, algorithms and error estimation for computational viscoelasticity, Computer Methods in Applied Mechanics and Engineering 194 (2-5) : 245- 265

(2004) Shaw, S. and Whiteman, JR., A posteriori error estimates for space–time finite element approximation of quasistatic hereditary linear viscoelasticity problems, Computer Methods in Applied Mechanics and Engineering 193 (52) : 5551- 5572

(2003) Rivière, B., Shaw, S., Wheeler, MF. and Whiteman, JR., Discontinuous Galerkin finite element methods for linear elasticity and quasistatic linear viscoelasticity, Numerische Mathematik 95 (2) : 347- 376

(2003) Ludwig, MJ., Shaw, S. and Whiteman, JR., 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, MJ., Shaw, S. and Whiteman, JR., Adaptive numerical solution of thick plates using first-order shear deformation theory. Part II: adaptivity, Numerical Methods for Partial Differential Equations 19 (2) : 227- 253

(2001) Shaw, S. and Whiteman, JR., Optimal long-time Lp(0, T) stability and semidiscrete error estimates for the Volterra formulation of the linear quasistatic viscoelasticity problem, Numerische Mathematik 88 (4) : 743- 770

(2000) Shaw, S. and Whiteman, JR., Negative norm error control for second-kind convolution Volterra equations, Numerische Mathematik 85 (2) : 329- 341

(2000) Shaw, S. and Whiteman, JR., Adaptive space-time finite element solution for Volterra equations arising in viscoelasticity problems, Journal of Computational and Applied Mathematics 125 (1-2) : 337- 345

(2000) Shaw, S. and Whiteman, JR., Numerical solution of linear quasistatic hereditary viscoelasticity problems, SIAM Journal on Numerical Analysis 38 (1) : 80- 97

(1997) Shaw, S., Warby, MK. and Whiteman, JR., Error estimates with sharp constants for a fading memory Volterra problem in linear solid viscoelasticity, SIAM Journal on Numerical Analysis 34 (3) : 1237- 1254

(1996) Shaw, S. and Whiteman, JR., Discontinuous Galerkin method with a posteriori L_p(0,t(i)) error estimate for second-kind Volterra problems, Numerische Mathematik 74 (3) : 361- 383

(1996) Shaw, S. and Whiteman, JR., Towards adaptive finite element schemes for partial differential Volterra equation solvers, Advances in Computational Mathematics 6 (1) : 309- 323

(1996) Shaw, S., Warby, MK. and Whiteman, JR., Discrete schemes for treating hereditary problems of viscoelasticity and applications, Journal of Computational and Applied Mathematics 74 (1-2) : 313- 329

(1995) Janovsky, V., Shaw, S., Warby, MK. and Whiteman, JR., Numerical methods for treating problems of viscoelastic isotropic solid deformation, Journal of Computational and Applied Mathematics 63 (1-3) : 91- 107

(1994) Shaw, S., Warby, MK., Whiteman, JR., Dawson, C. and Wheeler, MF., Numerical techniques for the treatment of quasistatic viscoelastic stress problems in linear isotropic solids, Computer Methods in Applied Mechanics and Engineering 118 (3-4) : 211- 237

(Accepted) Shaw, S., Whiteman, JR., Rohan, E. and Wheeler, MF., Mixed and Galerkin Finite Element Approximation of Flow in a Linear Viscoelastic Porous Medium, Computer Methods in Applied Mechanics and Engineering Download publication

Conference Papers

(2003) Karamanou, M., Shaw, S., Warby, MK. and Whiteman, JR., Models, algorithms and error estimation for computational viscoelasticity, 11th Conference on Mathematics of Finite Elements and Applications (MAFELAP 2003)

(2000) Shaw, S., Johnson, AR. and Whiteman, JR., Modelling and finite element analysis of applied polymer viscoelasticity problems, 10th Conference on the Mathematics of Finite Elements and Applications (MAFELAP 1999)

(1997) Shaw, S. and Whiteman, JR., Applications and numerical analysis of partial differential Volterra equations: a brief survey, Interdisciplinary Symposium on Advances in Computational Mechanics in Honor of Professor John Tinsley Oden, Computer Methods in Applied Mechanics and Engineering (150) : 397- 409