All Stories

  1. Stable finite element approximations of two-phase flow with soluble surfactant

    Article • Journal of Computational Physics, September 2015, Elsevier

    Professor John W. Barrett, Dr Robert Nürnberg

  2. 3D modeling of magnetic atom traps on type-II superconductor chips

    Article • Superconductor Science and Technology, November 2014, Institute of Physics Publishing

    Professor John W. Barrett, Leonid Prigozhin

  3. A Stable Parametric Finite Element Discretization of Two-Phase Navier–Stokes Flow

    Article • Journal of Scientific Computing, July 2014, Springer Science + Business Media

    Professor John W. Barrett, Dr Robert Nürnberg

  4. Existence and approximation of a mixed formulation for thin film magnetization problems in superconductivity

    Article • Mathematical Models and Methods in Applied Sciences, May 2014, World Scientific Pub Co Pte Lt

    Professor John W. Barrett

  5. Lakes and rivers in the landscape: A quasi-variational inequality approach

    Article • Interfaces and Free Boundaries Mathematical Analysis Computation and Applications, January 2014, European Mathematical Publishing House

    Professor John W. Barrett

  6. Sandpiles and superconductors: nonconforming linear finite element approximations for mixed formulations of quasi-variational inequalities

    Article • IMA Journal of Numerical Analysis, December 2013, Oxford University Press (OUP)

    Professor John W. Barrett

  7. Eliminating spurious velocities with a stable approximation of viscous incompressible two-phase Stokes flow

    Article • Computer Methods in Applied Mechanics and Engineering, December 2013, Elsevier

    Professor John W. Barrett, Dr Robert Nürnberg

  8. Stable phase field approximations of anisotropic solidification

    Article • IMA Journal of Numerical Analysis, October 2013, Oxford University Press (OUP)

    Professor John W. Barrett, Dr Robert Nürnberg

  9. Transport current and magnetization problems for thin type-II superconducting films

    Article • Superconductor Science and Technology, August 2013, Institute of Physics Publishing

    Professor John W. Barrett

  10. On the stable discretization of strongly anisotropic phase field models with applications to crystal growth

    Article • ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, July 2013, Wiley

    Professor John W. Barrett, Dr Robert Nürnberg

  11. A quasi-variational inequality problem arising in the modeling of growing sandpiles

    Article • ESAIM Mathematical Modelling and Numerical Analysis, June 2013, EDP Sciences

    Professor John W. Barrett

  12. Phase Field Models Versus Parametric Front Tracking Methods: Are They Accurate and Computationally Efficient?

    Article • Communications in Computational Physics, January 2013, Global Science Press

    Professor John W. Barrett, Dr Robert Nürnberg

  13. Existence of global weak solutions to finitely extensible nonlinear bead–spring chain models for dilute polymers with variable density and viscosity

    Article • Journal of Differential Equations, December 2012, Elsevier

    Professor John W. Barrett

  14. ELASTIC FLOW WITH JUNCTIONS: VARIATIONAL APPROXIMATION AND APPLICATIONS TO NONLINEAR SPLINES

    Article • Mathematical Models and Methods in Applied Sciences, November 2012, World Scientific Pub Co Pte Lt

    Professor John W. Barrett, Dr Robert Nürnberg

  15. Electric field formulation for thin film magnetization problems

    Article • Superconductor Science and Technology, September 2012, Institute of Physics Publishing

    Professor John W. Barrett

  16. Numerical computations of faceted pattern formation in snow crystal growth

    Article • Physical Review E, July 2012, American Physical Society (APS)

    Professor John W. Barrett, Dr Robert Nürnberg

  17. EXISTENCE AND EQUILIBRATION OF GLOBAL WEAK SOLUTIONS TO KINETIC MODELS FOR DILUTE POLYMERS II: HOOKEAN-TYPE MODELS

    Article • Mathematical Models and Methods in Applied Sciences, May 2012, World Scientific Pub Co Pte Lt

    Professor John W. Barrett

  18. Finite element approximation of finitely extensible nonlinear elastic dumbbell models for dilute polymers

    Article • ESAIM Mathematical Modelling and Numerical Analysis, February 2012, EDP Sciences

    Professor John W. Barrett

  19. Reflections on Dubinskiĭ’s nonlinear compact embedding theorem

    Article • Publications de l Institut Mathematique, January 2012, National Library of Serbia

    Professor John W. Barrett

  20. Existence and approximation of a nonlinear degenerate parabolic system modelling acid-mediated tumour invasion

    Article • Interfaces and Free Boundaries Mathematical Analysis Computation and Applications, January 2012, European Mathematical Publishing House

    Professor John W. Barrett

  21. Parametric approximation of isotropic and anisotropic elastic flow for closed and open curves

    Article • Numerische Mathematik, October 2011, Springer Science + Business Media

    Professor John W. Barrett, Dr Robert Nürnberg

  22. EXISTENCE AND EQUILIBRATION OF GLOBAL WEAK SOLUTIONS TO KINETIC MODELS FOR DILUTE POLYMERS I: FINITELY EXTENSIBLE NONLINEAR BEAD-SPRING CHAINS

    Article • Mathematical Models and Methods in Applied Sciences, June 2011, World Scientific Pub Co Pte Lt

    Professor John W. Barrett

  23. The approximation of planar curve evolutions by stable fully implicit finite element schemes that equidistribute

    Article • Numerical Methods for Partial Differential Equations, September 2010, Wiley

    Professor John W. Barrett, Dr Robert Nürnberg

  24. On stable parametric finite element methods for the Stefan problem and the Mullins–Sekerka problem with applications to dendritic growth

    Article • Journal of Computational Physics, September 2010, Elsevier

    Professor John W. Barrett, Dr Robert Nürnberg

  25. Finite-element approximation of coupled surface and grain boundary motion with applications to thermal grooving and sintering

    Article • European Journal of Applied Mathematics, July 2010, Cambridge University Press

    Professor John W. Barrett, Dr Robert Nürnberg

  26. A QUASI-VARIATIONAL INEQUALITY PROBLEM IN SUPERCONDUCTIVITY

    Article • Mathematical Models and Methods in Applied Sciences, May 2010, World Scientific Pub Co Pte Lt

    Professor John W. Barrett

  27. Existence of global weak solutions to Fokker-Planck and Navier-Stokes-Fokker-Planck equations in kinetic models of dilute polymers

    Article • Discrete and Continuous Dynamical Systems - S, May 2010, American Institute of Mathematical Sciences (AIMS)

    Professor John W. Barrett

  28. Finite element approximation of kinetic dilute polymer models with microscopic cut-off

    Article • ESAIM Mathematical Modelling and Numerical Analysis, April 2010, EDP Sciences

    Professor John W. Barrett

  29. Parametric approximation of surface clusters driven by isotropic and anisotropic surface energies

    Article • Interfaces and Free Boundaries Mathematical Analysis Computation and Applications, January 2010, European Mathematical Publishing House

    Professor John W. Barrett, Dr Robert Nürnberg

  30. Numerical approximation of gradient flows for closed curves in Rd

    Article • IMA Journal of Numerical Analysis, July 2009, Oxford University Press (OUP)

    Professor John W. Barrett, Dr Robert Nürnberg

  31. Partial L1 Monge–Kantorovich problem: variational formulation and numerical approximation

    Article • Interfaces and Free Boundaries Mathematical Analysis Computation and Applications, January 2009, European Mathematical Publishing House

    Professor John W. Barrett

  32. Numerical approximation of corotational dumbbell models for dilute polymers

    Article • IMA Journal of Numerical Analysis, September 2008, Oxford University Press (OUP)

    Professor John W. Barrett

  33. EXISTENCE OF GLOBAL WEAK SOLUTIONS TO DUMBBELL MODELS FOR DILUTE POLYMERS WITH MICROSCOPIC CUT-OFF

    Article • Mathematical Models and Methods in Applied Sciences, June 2008, World Scientific Pub Co Pte Lt

    Professor John W. Barrett

  34. On the parametric finite element approximation of evolving hypersurfaces in

    Article • Journal of Computational Physics, April 2008, Elsevier

    Professor John W. Barrett, Dr Robert Nürnberg

  35. A variational formulation of anisotropic geometric evolution equations in higher dimensions

    Article • Numerische Mathematik, January 2008, Springer Science + Business Media

    Professor John W. Barrett, Dr Robert Nürnberg

  36. Parametric Approximation of Willmore Flow and Related Geometric Evolution Equations

    Article • SIAM Journal on Scientific Computing, January 2008, Society for Industrial & Applied Mathematics (SIAM)

    Professor John W. Barrett, Dr Robert Nürnberg

  37. On p -Harmonic Map Heat Flows for $1\leqp<\infty$ and Their Finite Element Approximations

    Article • SIAM Journal on Mathematical Analysis, January 2008, Society for Industrial & Applied Mathematics (SIAM)

    Professor John W. Barrett

  38. On sharp interface limits of Allen--Cahn/Cahn--Hilliard variational inequalities

    Article • Discrete and Continuous Dynamical Systems - S, December 2007, American Institute of Mathematical Sciences (AIMS)

    Professor John W. Barrett, Dr Robert Nürnberg

  39. A Mixed Formulation of the Monge-Kantorovich Equations

    Article • ESAIM Mathematical Modelling and Numerical Analysis, November 2007, EDP Sciences

    Professor John W. Barrett

  40. Numerical approximation of anisotropic geometric evolution equations in the plane

    Article • IMA Journal of Numerical Analysis, September 2007, Oxford University Press (OUP)

    Professor John W. Barrett, Dr Robert Nürnberg

  41. EXISTENCE, UNIQUENESS AND APPROXIMATION OF A DOUBLY-DEGENERATE NONLINEAR PARABOLIC SYSTEM MODELLING BACTERIAL EVOLUTION

    Article • Mathematical Models and Methods in Applied Sciences, July 2007, World Scientific Pub Co Pte Lt

    Professor John W. Barrett

  42. A parametric finite element method for fourth order geometric evolution equations

    Article • Journal of Computational Physics, March 2007, Elsevier

    Professor John W. Barrett, Dr Robert Nürnberg

  43. Existence of Global Weak Solutions to Some Regularized Kinetic Models for Dilute Polymers

    Article • Multiscale Modeling and Simulation, January 2007, Society for Industrial & Applied Mathematics (SIAM)

    Professor John W. Barrett

  44. A phase field model for the electromigration of intergranular voids

    Article • Interfaces and Free Boundaries Mathematical Analysis Computation and Applications, January 2007, European Mathematical Publishing House

    Professor John W. Barrett, Dr Robert Nürnberg

  45. On the Variational Approximation of Combined Second and Fourth Order Geometric Evolution Equations

    Article • SIAM Journal on Scientific Computing, January 2007, Society for Industrial & Applied Mathematics (SIAM)

    Professor John W. Barrett, Dr Robert Nürnberg

  46. A Convergent and Constraint‐Preserving Finite Element Method for the p ‐Harmonic Flow into Spheres

    Article • SIAM Journal on Numerical Analysis, January 2007, Society for Industrial & Applied Mathematics (SIAM)

    Professor John W. Barrett

  47. Dual formulations in critical state problems

    Article • Interfaces and Free Boundaries Mathematical Analysis Computation and Applications, January 2006, European Mathematical Publishing House

    Professor John W. Barrett

  48. Finite Element Approximation of Soluble Surfactant Spreading on a Thin Film

    Article • SIAM Journal on Numerical Analysis, January 2006, Society for Industrial & Applied Mathematics (SIAM)

    Professor John W. Barrett, Dr Robert Nürnberg

  49. Convergence of a fully discrete finite element method for a degenerate parabolic system modelling nematic liquid crystals with variable degree of orientation

    Article • ESAIM Mathematical Modelling and Numerical Analysis, January 2006, EDP Sciences

    Professor John W. Barrett

  50. Finite element approximation of a phase field model for surface diffusion of voids in a stressed solid

    Article • Mathematics of Computation, October 2005, American Mathematical Society (AMS)

    Professor John W. Barrett, Dr Robert Nürnberg

  51. EXISTENCE OF GLOBAL WEAK SOLUTIONS FOR SOME POLYMERIC FLOW MODELS

    Article • Mathematical Models and Methods in Applied Sciences, June 2005, World Scientific Pub Co Pte Lt

    Professor John W. Barrett

  52. Finite element approximation of a Stefan problem with degenerate Joule heating

    Article • ESAIM Mathematical Modelling and Numerical Analysis, July 2004, EDP Sciences

    Professor John W. Barrett, Dr Robert Nürnberg

  53. Finite element approximation of a nonlinear cross-diffusion population model

    Article • Numerische Mathematik, June 2004, Springer Science + Business Media

    Professor John W. Barrett

  54. Finite Element Approximation of a Phase Field Model for Void Electromigration

    Article • SIAM Journal on Numerical Analysis, January 2004, Society for Industrial & Applied Mathematics (SIAM)

    Professor John W. Barrett, Dr Robert Nürnberg

  55. Finite Element Approximation of Surfactant Spreading on a Thin Film

    Article • SIAM Journal on Numerical Analysis, January 2003, Society for Industrial & Applied Mathematics (SIAM)

    Professor John W. Barrett, Dr Robert Nürnberg

  56. Finite-element approximation of a nonlinear degenerate parabolic system describing bacterial pattern formation

    Article • Interfaces and Free Boundaries Mathematical Analysis Computation and Applications, January 2002, European Mathematical Publishing House

    Professor John W. Barrett, Dr Robert Nürnberg

  57. Finite Element Approximation of a Degenerate Allen--Cahn/Cahn--Hilliard System

    Article • SIAM Journal on Numerical Analysis, January 2002, Society for Industrial & Applied Mathematics (SIAM)

    Professor John W. Barrett

  58. On fully practical finite element approximations of degenerate Cahn-Hilliard systems

    Article • ESAIM Mathematical Modelling and Numerical Analysis, July 2001, EDP Sciences

    Professor John W. Barrett

  59. 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

    Article • Numerische Mathematik, April 2001, Springer Science + Business Media

    Professor John W. Barrett

  60. Bean's critical-state model as the p→∞ limit of an evolutionary -Laplacian equation

    Article • Nonlinear Analysis, November 2000, Elsevier

    Professor John W. Barrett

  61. 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

    Article • ESAIM Mathematical Modelling and Numerical Analysis, September 1999, EDP Sciences

    Professor John W. Barrett

  62. FINITE ELEMENT APPROXIMATION OF A MODEL FOR PHASE SEPARATION OF A MULTI-COMPONENT ALLOY WITH NONSMOOTH FREE ENERGY AND A CONCENTRATION DEPENDENT MOBILITY MATRIX

    Article • Mathematical Models and Methods in Applied Sciences, July 1999, World Scientific Pub Co Pte Lt

    Professor John W. Barrett

  63. Finite element approximation of the Cahn-Hilliard equation with concentration dependent mobility

    Article • Mathematics of Computation, April 1999, American Mathematical Society (AMS)

    Professor John W. Barrett

  64. Finite Element Approximation of the Cahn--Hilliard Equation with Degenerate Mobility

    Article • SIAM Journal on Numerical Analysis, January 1999, Society for Industrial & Applied Mathematics (SIAM)

    Professor John W. Barrett

  65. Finite element approximation of a fourth order nonlinear degenerate parabolic equation

    Article • Numerische Mathematik, October 1998, Springer Science + Business Media

    Professor John W. Barrett

  66. An Improved Error Bound for a Lagrange--Galerkin Method for Contaminant Transport with Non-Lipschitzian Adsorption Kinetics

    Article • SIAM Journal on Numerical Analysis, October 1998, Society for Industrial & Applied Mathematics (SIAM)

    Professor John W. Barrett

  67. Finite element approximation of a model for phase separation of a multi-component alloy with non-smooth free energy

    Article • Numerische Mathematik, July 1997, Springer Science + Business Media

    Professor John W. Barrett

  68. Finite Element Approximation of The Transport of Reactive Solutes in Porous Media. Part II: Error Estimates for Equilibrium Adsorption Processes

    Article • SIAM Journal on Numerical Analysis, April 1997, Society for Industrial & Applied Mathematics (SIAM)

    Professor John W. Barrett

  69. Finite Element Approximation of the Transport of Reactive Solutes in Porous Media. Part 1: Error Estimates for Nonequilibrium Adsorption Processes

    Article • SIAM Journal on Numerical Analysis, February 1997, Society for Industrial & Applied Mathematics (SIAM)

    Professor John W. Barrett

  70. Lagrange-Galerkin Approximation For Advection-Dominated Contaminant Transport With Nonlinear Equilibrium Or Non-equilibrium Adsorption

    Article • January 1997, Springer Science + Business Media

    Professor John W. Barrett

  71. Finite Element Approximation of Some Degenerate Monotone Quasilinear Elliptic Systems

    Article • SIAM Journal on Numerical Analysis, February 1996, Society for Industrial & Applied Mathematics (SIAM)

    Professor John W. Barrett

  72. An error bound for the finite element approximation of the Cahn-Hilliard equation with logarithmic free energy

    Article • Numerische Mathematik, November 1995, Springer Science + Business Media

    Professor John W. Barrett

  73. The finite element approximation of a coupled reaction-diffusion problem with non-Lipschitz nonlinearities

    Article • Numerische Mathematik, August 1995, Springer Science + Business Media

    Professor John W. Barrett

  74. Finite element approximation of a model vortex problem

    Article • Numerical Functional Analysis and Optimization, January 1995, Taylor & Francis

    Professor John W. Barrett

  75. Quasi-norm error bounds for the finite element approximation of a non-Newtonian flow

    Article • Numerische Mathematik, October 1994, Springer Science + Business Media

    Professor John W. Barrett

  76. Error Bounds for a Finite Element Approximation of a Model Vortex Problem

    Article • August 1994, Taylor & Francis

    Professor John W. Barrett

  77. Finite Element Approximation of the Parabolic p -Laplacian

    Article • SIAM Journal on Numerical Analysis, April 1994, Society for Industrial & Applied Mathematics (SIAM)

    Professor John W. Barrett

  78. Lagrange-Galerkin Approximation for Advection-Dominated Nonlinear Contaminant Transport in Porous Media

    Article • January 1994, Springer Science + Business Media

    Professor John W. Barrett

  79. Finite element error analysis of a quasi-Newtonian flow obeying the Carreau or power law

    Article • Numerische Mathematik, December 1993, Springer Science + Business Media

    Professor John W. Barrett

  80. Higher-Order Regularity for the Solutions of Some Degenerate Quasilinear Elliptic Equations in the Plane

    Article • SIAM Journal on Mathematical Analysis, November 1993, Society for Industrial & Applied Mathematics (SIAM)

    Professor John W. Barrett

  81. Finite Element Approximation of the p-Laplacian

    Article • Mathematics of Computation, October 1993, JSTOR

    Professor John W. Barrett

  82. Error bounds for the finite element approximation of a degenerate quasilinear parabolic variational inequality

    Article • Advances in Computational Mathematics, June 1993, Springer Science + Business Media

    Professor John W. Barrett

  83. Finite element approximation of the $p$-Laplacian

    Article • Mathematics of Computation, January 1993, American Mathematical Society (AMS)

    Professor John W. Barrett

  84. Finite element approximation of a model reaction ? diffusion problem with a non-Lipschitz nonlinearity

    Article • Numerische Mathematik, December 1991, Springer Science + Business Media

    Professor John W. Barrett

  85. Finite Element Approximation of a Rigid Punch Indenting a Membrane

    Article • IMA Journal of Numerical Analysis, January 1991, Oxford University Press (OUP)

    Professor John W. Barrett

  86. Total flux estimates for a finite element approximation of the Dirichlet problem using the boundary penalty method

    Article • Numerische Mathematik, December 1990, Springer Science + Business Media

    Professor John W. Barrett

  87. Remarks concerning a free boundary problem arising in the theory of liquid drops and in plasma physics

    Article • Proceedings of the Royal Society of Edinburgh Section A Mathematics, January 1989, Cambridge University Press

    Professor John W. Barrett

  88. Finite-Element Approximation of Elliptic Equations with a Neumann or Robin Condition on a Curved Boundary

    Article • IMA Journal of Numerical Analysis, January 1988, Oxford University Press (OUP)

    Professor John W. Barrett

  89. Total Flux Estimates for a Finite-Element Approximation of Elliptic Equations

    Article • IMA Journal of Numerical Analysis, January 1987, Oxford University Press (OUP)

    Professor John W. Barrett

  90. Fitted and Unfitted Finite-Element Methods for Elliptic Equations with Smooth Interfaces

    Article • IMA Journal of Numerical Analysis, January 1987, Oxford University Press (OUP)

    Professor John W. Barrett

  91. A practical finite element approximation of a semi-definite Neumann problem on a curved domain

    Article • Numerische Mathematik, January 1987, Springer Science + Business Media

    Professor John W. Barrett

  92. Finite element approximation of the Dirichlet problem using the boundary penalty method

    Article • Numerische Mathematik, July 1986, Springer Science + Business Media

    Professor John W. Barrett

  93. Total Flux Estimates for a Finite-Element Approximation of Parabolic Equations

    Article • IMA Journal of Numerical Analysis, January 1986, Oxford University Press (OUP)

    Professor John W. Barrett

  94. Fixed mesh finite element approximations to a free boundary problem for an elliptic equation with an oblique derivative boundary condition

    Article • Computers & Mathematics with Applications, April 1985, Elsevier

    Professor John W. Barrett

  95. A Finite-element Method for Solving Elliptic Equations with Neumann Data on a Curved Boundary Using Unfitted Meshes

    Article • IMA Journal of Numerical Analysis, January 1984, Oxford University Press (OUP)

    Professor John W. Barrett

  96. Sandpiles and Superconductors: Dual Variational Formulations for Critical-State Problems

    Article • Springer Science + Business Media

    Professor John W. Barrett