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Professor John Barrett

Publications


Journal Articles

  • Barrett JW, Boyaval S, EXISTENCE AND APPROXIMATION OF A (REGULARIZED) OLDROYD-B MODEL, MATH MOD METH APPL S, 2011, Vol:21, Pages:1783-1837, ISSN:0218-2025(doi)
  • Barrett JW, Suli E, EXISTENCE AND EQUILIBRATION OF GLOBAL WEAK SOLUTIONS TO KINETIC MODELS FOR DILUTE POLYMERS I: FINITELY EXTENSIBLE NONLINEAR BEAD-SPRING CHAINS, MATH MOD METH APPL S, 2011, Vol:21, Pages:1211-1289, ISSN:0218-2025(doi)
  • Barrett JW, Suli E, FINITE ELEMENT APPROXIMATION OF KINETIC DILUTE POLYMER MODELS WITH MICROSCOPIC CUT-OFF, ESAIM-MATH MODEL NUM, 2011, Vol:45, Pages:39-89, ISSN:0764-583X(doi)
  • Barrett JW, Garcke H, Nurnberg R, Finite-element approximation of coupled surface and grain boundary motion with applications to thermal grooving and sintering, EUR J APPL MATH, 2010, Vol:21, Pages:519-556, ISSN:0956-7925(doi)
  • Barrett JW, Prigozhin L, A QUASI-VARIATIONAL INEQUALITY PROBLEM IN SUPERCONDUCTIVITY, MATH MOD METH APPL S, 2010, Vol:20, Pages:679-706, ISSN:0218-2025(publication doi)
  • Barrett JW, Garcke H, Nurnberg R, On stable parametric finite element methods for the Stefan problem and the Mullins-Sekerka problem with applications to dendritic growth, J COMPUT PHYS, 2010, Vol:229, Pages:6270-6299, ISSN:0021-9991(doi)
  • Barrett JW, Garcke H, Nurnberg R, Parametric approximation of surface clusters driven by isotropic and anisotropic surface energies, INTERFACE FREE BOUND, 2010, Vol:12, Pages:187-234, ISSN:1463-9963(publication doi)
  • Barrett JW, Garcke H, Nurnberg R, Numerical approximation of gradient flows for closed curves in R-d, IMA J NUMER ANAL, 2010, Vol:30, Pages:4-60, ISSN:0272-4979(doi)
  • Barrett JW, Suli E, Numerical approximation of corotational dumbbell models for dilute polymers, IMA J NUMER ANAL, 2009, Vol:29, Pages:937-959, ISSN:0272-4979(doi)
  • Barrett JW, Prigozhin L, Partial L-1 Monge-Kantorovich problem: variational formulation and numerical approximation, INTERFACE FREE BOUND, 2009, Vol:11, Pages:201-238, ISSN:1463-9963(publication )
  • Barrett JW, Feng XB, Prohl A, ON p-HARMONIC MAP HEAT FLOWS FOR 1 <= p < infinity AND THEIR FINITE ELEMENT APPROXIMATIONS, SIAM J MATH ANAL, 2008, Vol:40, Pages:1471-1498, ISSN:0036-1410(publication doi)
  • Barrett JW, Garcke H, Nurnberg R, PARAMETRIC APPROXIMATION OF WILLMORE FLOW AND RELATED GEOMETRIC EVOLUTION EQUATIONS, SIAM J SCI COMPUT, 2008, Vol:31, Pages:225-253, ISSN:1064-8275(publication doi)
  • Barrett JW, El Alaoui L, Finite element approximation of a two-layered liquid film in the presence of insoluble surfactants, ESAIM-MATH MODEL NUM, 2008, Vol:42, Pages:749-775, ISSN:0764-583X(publication doi)
  • Barrett JW, Suli E, Existence of global weak solutions to dumbbell models for dilute polymers with microscopic cut-off, MATH MOD METH APPL S, 2008, Vol:18, Pages:935-971, ISSN:0218-2025(publication )
  • Barrett JW, Garcke H, Nurnberg R, Numerical approximation of anisotropic geometric evolution equations in the plane, IMA J NUMER ANAL, 2008, Vol:28, Pages:292-330, ISSN:0272-4979(doi)
  • Barrett JW, Garcke H, Nurnberg R, On the parametric finite element approximation of evolving hypersurfaces in R-3, J COMPUT PHYS, 2008, Vol:227, Pages:4281-4307, ISSN:0021-9991(publication doi)
  • Barrett JW, Garcke H, Nurnberg R, A variational formulation of anisotropic geometric evolution equations in higher dimensions, NUMER MATH, 2008, Vol:109, Pages:1-44, ISSN:0029-599X(publication doi)
  • Barrett JW, Prigozhin L, A mixed formulation of the Monge-Kantorovich equations, ESAIM-MATH MODEL NUM, 2007, Vol:41, ISSN:0764-583X(publication doi)
  • Barrett JW, Deckelnick K, Existence, uniqueness and approximation of a doubly-degenerate nonlinear parabolic system modelling bacterial evolution, MATH MOD METH APPL S, 2007, Vol:17, Pages:1095-1127, ISSN:0218-2025(publication )
  • Barrett JW, Garcke H, Nurnberg R, A parametric finite element method for fourth order geometric evolution equations, J COMPUT PHYS, 2007, Vol:222, Pages:441-467, ISSN:0021-9991(publication doi)
  • Barrett JW, Bartels S, Feng XB, et al, A convergent and constraint-preserving finite element method for the p-harmonic flow into spheres, SIAM J NUMER ANAL, 2007, Vol:45, Pages:905-927, ISSN:0036-1429(publication doi)
  • Barrett JW, Garcke H, Nurnberg R, A phase field model for the electromigration of intergranular voids, INTERFACE FREE BOUND, 2007, Vol:9, Pages:171-210, ISSN:1463-9971(publication )
  • Barrett JW, Suli E, Existence of global weak solutions to some regularized kinetic models for dilute polymers, MULTISCALE MODEL SIM, 2007, Vol:6, Pages:506-546, ISSN:1540-3459(publication doi)
  • Barrett JW, Garcke H, Nurnberg R, On the variational approximation of combined second and fourth order geometric evolution equations, SIAM J SCI COMPUT, 2007, Vol:29, Pages:1006-1041, ISSN:1064-8275(publication doi)
  • Barrett JW, Feng XB, Prohl A, Convergence of a fully discrete finite element method for a degenerate parabolic system modelling nematic liquid crystals with variable degree of orientation, ESAIM-MATH MODEL NUM, 2006, Vol:40, Pages:175-199, ISSN:0764-583X(publication doi)
  • Barrett JW, Prigozhin L, Dual formulations in critical state problems, INTERFACE FREE BOUND, 2006, Vol:8, Pages:349-370, ISSN:1463-9971(publication )
  • Barrett JW, Garcke H, Nurnberg R, Finite element approximation of a phase field model for surface diffusion of voids in a stressed solid, MATH COMPUT, 2006, Vol:75, Pages:7-41, ISSN:0025-5718(publication )
  • Barrett JW, Nurnberg R, Warner MRE, Finite element approximation of soluble surfactant spreading on a thin film, SIAM J NUMER ANAL, 2006, Vol:44, Pages:1218-1247, ISSN:0036-1429(publication doi)
  • Barrett JW, Schwab C, Suli E, Existence of global weak solutions for some polymeric flow models, MATH MOD METH APPL S, 2005, Vol:15, Pages:939-983, ISSN:0218-2025(publication )
  • Barrett JW, Blowey JF, Finite element approximation of a nonlinear cross-diffusion population model, NUMER MATH, 2004, Vol:98, Pages:195-221, ISSN:0029-599X(publication doi)
  • Barrett JW, Nurnberg R, Finite element approximation of a Stefan problem with degenerate Joule heating, ESAIM-MATH MODEL NUM, 2004, Vol:38, Pages:633-652, ISSN:0764-583X(publication doi)
  • Barrett JW, Nurnberg R, Convergence of a finite-element approximation of surfactant spreading on a thin film in the presence of van der Waals forces, IMA J NUMER ANAL, 2004, Vol:24, Pages:323-363, ISSN:0272-4979(publication )
  • Barrett JW, Nurnberg R, Styles V, Finite element approximation of a phase field model for void electromigration, SIAM J NUMER ANAL, 2004, Vol:42, Pages:738-772, ISSN:0036-1429(publication doi)
  • Barrett JW, Langdon S, Nurnberg R, Finite element approximation of a sixth order nonlinear degenerate parabolic equation, NUMER MATH, 2004, Vol:96, Pages:401-434, ISSN:0029-599X(publication doi)
  • Barrett JW, Garcke H, Nurnberg R, Finite element approximation of surfactant spreading on a thin film, SIAM J NUMER ANAL, 2003, Vol:41, Pages:1427-1464, ISSN:0036-1429(publication doi)
  • Barrett JW, Nurnberg R, Finite-element approximation of a nonlinear degenerate parabolic system describing bacterial pattern formation, INTERFACE FREE BOUND, 2002, Vol:4, Pages:277-307, ISSN:1463-9971(publication )
  • Barrett JW, Blowey JF, Finite element approximation of a degenerate Allen-Cahn/Cahn-Hilliard system, SIAM J NUMER ANAL, 2002, Vol:39, Pages:1598-1624, ISSN:0036-1429(publication )
  • Barrett JW, Blowey JF, Finite element approximation of an Allen-Cahn/Cahn-Hilliard system, IMA J NUMER ANAL, 2002, Vol:22, Pages:11-71, ISSN:0272-4979(publication )
  • Barrett JW, Blowey JF, Garcke H, On fully practical finite element approximations of degenerate Cahn-Hilliard systems, ESAIM-MATH MODEL NUM, 2001, Vol:35, Pages:713-748, ISSN:0764-583X(publication )
  • Barrett JW, Blowey JF, An improved error bound for a finite element approximation of a model for phase separation of a multi-component alloy with a concentration dependent mobility matrix, NUMER MATH, 2001, Vol:88, Pages:255-297, ISSN:0029-599X(publication )
  • Barrett JW, Prigozhin L, Bean's critical-state model as the p -> infinity limit of an evolutionary p-Laplacian equation, NONLINEAR ANAL-THEOR, 2000, Vol:42, Pages:977-993, ISSN:0362-546X(publication )
  • Barrett JW, Blowey JF, Garcke H, Finite element approximation of the Cahn-Hilliard equation with degenerate mobility, SIAM J NUMER ANAL, 1999, Vol:37, Pages:286-318, ISSN:0036-1429(publication )
  • Barrett JW, Blowey JF, An optimal error bound for a finite element approximation of a model for phase separation of a multi-component alloy with non-smooth free energy, RAIRO-MATH MODEL NUM, 1999, Vol:33, Pages:971-987, ISSN:0764-583X(publication )
  • Barrett JW, Blowey JF, Finite element approximation of a model for phase separation of a multi-component alloy with nonsmooth free energy and a concentration dependent mobility matrix, MATH MOD METH APPL S, 1999, Vol:9, Pages:627-663, ISSN:0218-2025
  • Barrett JW, Blowey JF, Finite element approximation of the Cahn-Hilliard equation with concentration dependent mobility, MATH COMPUT, 1999, Vol:68, Pages:487-517, ISSN:0025-5718
  • Barrett JW, Schneider M, Finite element approximation of a semilinear elliptic problem with a singular nonlinearity, NUMER MATH, 1999, Vol:82, Pages:21-56, ISSN:0029-599X
  • Barrett JW, Blowey JF, An improved error bound for a finite element approximation of a model for phase separation of a multi-component alloy, IMA J NUMER ANAL, 1999, Vol:19, Pages:147-168, ISSN:0272-4979
  • Bao WZ, Barrett JW, A priori and a posteriori error bounds for a nonconforming linear finite element approximation of a non-Newtonian flow, RAIRO-MATH MODEL NUM, 1998, Vol:32, Pages:843-858, ISSN:0764-583X
  • Barrett JW, Knabner P, An improved error bound for a Lagrange-Galerkin method for contaminant transport with non-Lipschitzian adsorption kinetics, SIAM J NUMER ANAL, 1998, Vol:35, Pages:1862-1882, ISSN:0036-1429(publication )
  • Barrett JW, Blowey JF, Garcke H, Finite element approximation of a fourth order nonlinear degenerate parabolic equation, NUMER MATH, 1998, Vol:80, Pages:525-556, ISSN:0029-599X
  • Barrett JW, Blowey JF, Finite element approximation of a model for phase separation of a multi-component alloy with a concentration-dependent mobility matrix, IMA J NUMER ANAL, 1998, Vol:18, Pages:287-328, ISSN:0272-4979
  • Barrett JW, Blowey JF, Finite element approximation of a model for phase separation of a multi-component alloy with non-smooth free energy, NUMER MATH, 1997, Vol:77, Pages:1-34, ISSN:0029-599X
  • Barrett JW, Knabner P, Finite element approximation of the transport of reactive solutes in porous media .2. Error estimates for equilibrium adsorption processes, SIAM J NUMER ANAL, 1997, Vol:34, Pages:455-479, ISSN:0036-1429(publication )
  • Barrett JW, Knabner P, Finite element approximation of the transport of reactive solutes in porous media .1. Error estimates for nonequilibrium adsorption processes, SIAM J NUMER ANAL, 1997, Vol:34, Pages:201-227, ISSN:0036-1429(publication )
  • Barrett JW, Blowey JF, An error bound for the finite element approximation of a model for phase separation of a multi-component alloy, IMA J NUMER ANAL, 1996, Vol:16, Pages:257-287, ISSN:0272-4979
  • Liu WB, Barrett JW, Finite element approximation of some degenerate monotone quasilinear elliptic systems, SIAM J NUMER ANAL, 1996, Vol:33, Pages:88-106, ISSN:0036-1429(publication )
  • BARRETT JW, BLOWEY JF, AN ERROR BOUND FOR THE FINITE-ELEMENT APPROXIMATION OF THE CAHN-HILLIARD EQUATION WITH LOGARITHMIC FREE-ENERGY, NUMER MATH, 1995, Vol:72, Pages:1-20, ISSN:0029-599X
  • BARRETT JW, WOOD PA, THE FINITE-ELEMENT APPROXIMATION OF A COUPLED REACTION-DIFFUSION PROBLEM WITH NON-LIPSCHITZ NONLINEARITIES, NUMER MATH, 1995, Vol:71, Pages:135-157, ISSN:0029-599X(publication )
  • WOOD PA, BARRETT JW, FINITE-ELEMENT APPROXIMATION OF A MODEL VORTEX PROBLEM, NUMER FUNC ANAL OPT, 1995, Vol:16, Pages:261-285, ISSN:0163-0563
  • Liu WB, Barrett JW, Quasi-norm error bounds for the finite element approximation of some degenerate quasilinear parabolic equations and variational inequalities, NUMER FUNC ANAL OPT, 1995, Vol:16, Pages:1309-1321, ISSN:0163-0563
  • LIU WB, BARRETT JW, QUASI-NORM ERROR-BOUNDS FOR THE FINITE-ELEMENT APPROXIMATION OF SOME DEGENERATE QUASI-LINEAR ELLIPTIC-EQUATIONS AND VARIATIONAL-INEQUALITIES, RAIRO-MATH MODEL NUM, 1994, Vol:28, Pages:725-744, ISSN:0764-583X
  • BARRETT JW, LIU WB, QUASI-NORM ERROR-BOUNDS FOR THE FINITE-ELEMENT APPROXIMATION OF A NON-NEWTONIAN FLOW, NUMER MATH, 1994, Vol:68, Pages:437-456, ISSN:0029-599X
  • BARRETT JW, LIU WB, FINITE-ELEMENT APPROXIMATION OF THE PARABOLIC P-LAPLACIAN, SIAM J NUMER ANAL, 1994, Vol:31, Pages:413-428, ISSN:0036-1429(publication )
  • LIU WB, BARRETT JW, HIGHER-ORDER REGULARITY FOR THE SOLUTIONS OF SOME DEGENERATE QUASI-LINEAR ELLIPTIC-EQUATIONS IN THE PLANE, SIAM J MATH ANAL, 1993, Vol:24, Pages:1522-1536, ISSN:0036-1410(publication )
  • BARRETT JW, LIU WB, FINITE-ELEMENT APPROXIMATION OF THE P-LAPLACIAN, MATH COMPUT, 1993, Vol:61, Pages:523-537, ISSN:0025-5718
  • LIU WB, BARRETT JW, A REMARK ON THE REGULARITY OF THE SOLUTIONS OF THE P-LAPLACIAN AND ITS APPLICATION TO THEIR FINITE-ELEMENT APPROXIMATION, J MATH ANAL APPL, 1993, Vol:178, Pages:470-487, ISSN:0022-247X
  • LIU WB, BARRETT JW, A FURTHER REMARK ON THE REGULARITY OF THE SOLUTIONS OF THE P-LAPLACIAN AND ITS APPLICATIONS TO THEIR FINITE-ELEMENT APPROXIMATION, NONLINEAR ANAL-THEOR, 1993, Vol:21, Pages:379-387, ISSN:0362-546X
  • BARRETT JW, LIU WB, FINITE-ELEMENT ERROR ANALYSIS OF A QUASI-NEWTONIAN FLOW OBEYING THE CARREAU OR POWER-LAW, NUMER MATH, 1993, Vol:64, Pages:433-453, ISSN:0029-599X
  • BARRETT JW, FINITE-ELEMENT APPROXIMATION OF A NON-LIPSCHITZ NONLINEAR EIGENVALUE PROBLEM, RAIRO-MATH MODEL NUM, 1992, Vol:26, Pages:627-656, ISSN:0764-583X
  • BARRETT JW, CHAKRABARTI R, ELLIOTT CM, FINITE-ELEMENT APPROXIMATION OF A RIGID PUNCH INDENTING A MEMBRANE, IMA J NUMER ANAL, 1991, Vol:11, Pages:579-594, ISSN:0272-4979
  • BARRETT JW, ELLIOTT CM, FINITE-ELEMENT APPROXIMATION OF A FREE-BOUNDARY PROBLEM ARISING IN THE THEORY OF LIQUID-DROPS AND PLASMA PHYSICS, RAIRO-MATH MODEL NUM, 1991, Vol:25, Pages:213-252, ISSN:0764-583X
  • BARRETT JW, SHANAHAN RM, FINITE-ELEMENT APPROXIMATION OF A MODEL REACTION-DIFFUSION PROBLEM WITH A NON-LIPSCHITZ NONLINEARITY, NUMER MATH, 1991, Vol:59, Pages:217-242, ISSN:0029-599X
  • BARRETT JW, CHAKRABARTI R, FINITE-ELEMENT APPROXIMATION OF THE VOLUME-MATCHING PROBLEM, NUMER MATH, 1991, Vol:60, Pages:291-313, ISSN:0029-599X
  • SHANAHAN RM, BARRETT JW, TOTAL FLUX ESTIMATES FOR A FINITE-ELEMENT APPROXIMATION OF THE DIRICHLET PROBLEM USING THE BOUNDARY PENALTY METHOD, NUMER MATH, 1990, Vol:57, Pages:351-363, ISSN:0029-599X
  • BARRETT JW, ELLIOTT CM, FINITE-ELEMENT APPROXIMATION OF A PLASMA EQUILIBRIUM PROBLEM, IMA J NUMER ANAL, 1989, Vol:9, Pages:443-464, ISSN:0272-4979
  • BARRETT JW, ELLIOTT CM, REMARKS CONCERNING A FREE-BOUNDARY PROBLEM ARISING IN THE THEORY OF LIQUID-DROPS AND IN PLASMA PHYSICS, P ROY SOC EDINB A, 1989, Vol:111, Pages:169-181, ISSN:0308-2105
  • BARRETT JW, MOORE G, MORTON KW, OPTIMAL RECOVERY IN THE FINITE-ELEMENT METHOD .2. DEFECT CORRECTION FOR ORDINARY DIFFERENTIAL-EQUATIONS, IMA J NUMER ANAL, 1988, Vol:8, Pages:527-540, ISSN:0272-4979
  • BARRETT JW, ELLIOTT CM, FINITE-ELEMENT APPROXIMATION OF ELLIPTIC-EQUATIONS WITH A NEUMANN OR ROBIN CONDITION ON A CURVED BOUNDARY, IMA J NUMER ANAL, 1988, Vol:8, Pages:321-342, ISSN:0272-4979
  • BARRETT JW, MOORE G, MORTON KW, OPTIMAL RECOVERY IN THE FINITE-ELEMENT METHOD .1. RECOVERY FROM WEIGHTED L2 FITS, IMA J NUMER ANAL, 1988, Vol:8, Pages:149-184, ISSN:0272-4979
  • BARRETT JW, ELLIOTT CM, FITTED AND UNFITTED FINITE-ELEMENT METHODS FOR ELLIPTIC-EQUATIONS WITH SMOOTH INTERFACES, IMA J NUMER ANAL, 1987, Vol:7, Pages:283-300, ISSN:0272-4979
  • BARRETT JW, ELLIOTT CM, TOTAL FLUX ESTIMATES FOR A FINITE-ELEMENT APPROXIMATION OF ELLIPTIC-EQUATIONS, IMA J NUMER ANAL, 1987, Vol:7, Pages:129-148, ISSN:0272-4979
  • BARRETT JW, ELLIOTT CM, A PRACTICAL FINITE-ELEMENT APPROXIMATION OF A SEMIDEFINITE NEUMANN PROBLEM ON A CURVED DOMAIN, NUMER MATH, 1987, Vol:51, Pages:23-36, ISSN:0029-599X
  • BARRETT JW, ELLIOTT CM, TOTAL FLUX ESTIMATES FOR A FINITE-ELEMENT APPROXIMATION OF PARABOLIC EQUATIONS, IMA J NUMER ANAL, 1986, Vol:6, Pages:253-264, ISSN:0272-4979
  • BARRETT JW, ELLIOTT CM, FINITE-ELEMENT APPROXIMATION OF THE DIRICHLET PROBLEM USING THE BOUNDARY PENALTY METHOD, NUMER MATH, 1986, Vol:49, Pages:343-366, ISSN:0029-599X
  • BARRETT JW, ELLIOTT CM, FIXED MESH FINITE-ELEMENT APPROXIMATIONS TO A FREE-BOUNDARY PROBLEM FOR AN ELLIPTIC EQUATION WITH AN OBLIQUE DERIVATIVE BOUNDARY-CONDITION, COMPUT MATH APPL, 1985, Vol:11, Pages:335-345, ISSN:0898-1221
  • BARRETT JW, ELLIOTT CM, A FINITE-ELEMENT METHOD FOR SOLVING ELLIPTIC-EQUATIONS WITH NEUMANN DATA ON A CURVED BOUNDARY USING UNFITTED MESHES, IMA J NUMER ANAL, 1984, Vol:4, Pages:309-325, ISSN:0272-4979
  • Barrett,J.W. , Morton,K.W. , Approximate symmetrization and Petrov-Galerkin methods for diffusion-convection problems, Computer Methods in Applied Mechanics and Engineering, 1984, Vol:45, Pages:97-122, ISSN:0045-7825
  • Barrett,J.W. , Morton,K.W. , Optimal Petrov-Galerkin methods through approximate symmetrization, IMA Journal of Numerical Analysis, 1981, Vol:1, Pages:439-468, ISSN:0272-4979
  • Barrett,J.W. , Morton,K.W. , Optimal finite element solutions to diffusion-convection problems in one dimension, International Journal for Numerical Methods in Engineering, 1980, Vol:15, Pages:1457-1474, ISSN:1097-0207

    Chapters

    • Barrett,J.W. , Moore,G. , Wilmott,P. , Inelegant efficiency, ln:Monte Carlo: methodologies and applications for pricing and risk management, Editor(s): Dupire, London, Risk Publications, 1998, Pages: 339-341, ISBN:9781899332861

    Conference

    • Barrett JW, Garcke H, Nurnberg R, The Approximation of Planar Curve Evolutions by Stable Fully Implicit Finite Element Schemes that Equidistribute, 2011, Pages:1-30, ISSN:0749-159X(doi)
    • Barrett JW, Prigozhin L, Sandpiles and superconductors: Dual variational formulations for critical-state problems, 2006, Pages:25-29, ISSN:1571-5736
    • BARRETT JW, LIU WB, FINITE-ELEMENT APPROXIMATION OF DEGENERATE QUASI-LINEAR ELLIPTIC AND PARABOLIC PROBLEMS, 15th Dundee Conference on Numerical Analysis, 1994, Pages:1-16

    Other