All Stories

  1. Deep learning for gradient flows using the Brezis–Ekeland principle

    Article • Archivum Mathematicum, January 2023, Masaryk University Press

    Dr Robert Nürnberg

  2. A structure‐preserving finite element approximation of surface diffusion for curve networks and surface clusters

    Article • Numerical Methods for Partial Differential Equations, September 2022, Wiley

    Quan Zhao, Dr Robert Nürnberg

  3. Volume-preserving parametric finite element methods for axisymmetric geometric evolution equations

    Article • Journal of Computational Physics, July 2022, Elsevier

    Dr Robert Nürnberg

  4. Finite-element approximation of a phase field model for tumour growth

    Article • Portugaliae Mathematica, January 2022, European Mathematical Publishing House

    Dr Robert Nürnberg

  5. Numerical approximation of boundary value problems for curvature flow and elastic flow in Riemannian manifolds

    Article • Numerische Mathematik, September 2021, Springer Science + Business Media

    Dr Robert Nürnberg

  6. Stable approximations for axisymmetric Willmore flow for closed and open surfaces

    Article • ESAIM Mathematical Modelling and Numerical Analysis, May 2021, EDP Sciences

    Dr Robert Nürnberg

  7. Numerical approximation of the stochastic Cahn–Hilliard equation near the sharp interface limit

    Article • Numerische Mathematik, February 2021, Springer Science + Business Media

    Dr Robert Nürnberg

  8. Error Analysis for a Finite Difference Scheme for Axisymmetric Mean Curvature Flow of Genus-0 Surfaces

    Article • SIAM Journal on Numerical Analysis, January 2021, Society for Industrial & Applied Mathematics (SIAM)

    Dr Robert Nürnberg

  9. Cahn–Hilliard–Brinkman systems for tumour growth

    Article • Discrete and Continuous Dynamical Systems - S, January 2021, American Institute of Mathematical Sciences (AIMS)

    Dr Robert Nürnberg

  10. A finite element error analysis for axisymmetric mean curvature flow

    Article • IMA Journal of Numerical Analysis, August 2020, Oxford University Press (OUP)

    Dr Robert Nürnberg

  11. Structure-preserving discretizations of gradient flows for axisymmetric two-phase biomembranes

    Article • IMA Journal of Numerical Analysis, July 2020, Oxford University Press (OUP)

    Dr Robert Nürnberg

  12. Parametric finite element approximations of curvature-driven interface evolutions

    Article • January 2020, Elsevier

    Dr Robert Nürnberg

  13. Numerical approximation of curve evolutions in Riemannian manifolds

    Article • IMA Journal of Numerical Analysis, March 2019, Oxford University Press (OUP)

    Dr Robert Nürnberg

  14. Variational discretization of axisymmetric curvature flows

    Article • Numerische Mathematik, January 2019, Springer Science + Business Media

    Dr Robert Nürnberg

  15. Discrete Gradient Flows for General Curvature Energies

    Article • SIAM Journal on Scientific Computing, January 2019, Society for Industrial & Applied Mathematics (SIAM)

    Dr Robert Nürnberg

  16. Finite element methods for fourth order axisymmetric geometric evolution equations

    Article • Journal of Computational Physics, January 2019, Elsevier

    Dr Robert Nürnberg

  17. Stable Discretizations of Elastic Flow in Riemannian Manifolds

    Article • SIAM Journal on Numerical Analysis, January 2019, Society for Industrial & Applied Mathematics (SIAM)

    Dr Robert Nürnberg

  18. Gradient flow dynamics of two-phase biomembranes: Sharp interface variational formulation and finite element approximation

    Article • SMAI Journal of Computational Mathematics, April 2018, Cellule MathDoc/CEDRAM

    Dr Robert Nürnberg

  19. A multiphase Cahn–Hilliard–Darcy model for tumour growth with necrosis

    Article • Mathematical Models and Methods in Applied Sciences, January 2018, World Scientific Pub Co Pte Lt

    Dr Robert Nürnberg

  20. Finite element approximation for the dynamics of fluidic two-phase biomembranes

    Article • ESAIM Mathematical Modelling and Numerical Analysis, November 2017, EDP Sciences

    Dr Robert Nürnberg

  21. Numerical approximation of a non-smooth phase-field model for multicomponent incompressible flow

    Article • ESAIM Mathematical Modelling and Numerical Analysis, May 2017, EDP Sciences

    Dr Robert Nürnberg

  22. Stable variational approximations of boundary value problems for Willmore flow with Gaussian curvature

    Article • IMA Journal of Numerical Analysis, March 2017, Oxford University Press (OUP)

    Dr Robert Nürnberg

  23. Comparative Simulations of Taylor Flow with Surfactants Based on Sharp- and Diffuse-Interface Methods

    Article • January 2017, Springer Science + Business Media

    Dr Robert Nürnberg

  24. Erratum: Numerical computations of the dynamics of fluidic membranes and vesicles [Phys. Rev. E 92 , 052704 (2015)]

    Article • Physical Review E, December 2016, American Physical Society (APS)

    Dr Robert Nürnberg

  25. Stable finite element approximation of a Cahn–Hilliard–Stokes system coupled to an electric field

    Article • European Journal of Applied Mathematics, September 2016, Cambridge University Press

    Dr Robert Nürnberg

  26. Finite element approximation for the dynamics of asymmetric fluidic biomembranes

    Article • Mathematics of Computation, August 2016, American Mathematical Society (AMS)

    Dr Robert Nürnberg

  27. A fitted finite element method for the numerical approximation of void electro-stress migration

    Article • Applied Numerical Mathematics, June 2016, Elsevier

    Dr Robert Nürnberg

  28. Fitted finite element discretization of two‐phase Stokes flow

    Article • International Journal for Numerical Methods in Fluids, May 2016, Wiley

    Dr Robert Nürnberg

  29. A stable numerical method for the dynamics of fluidic membranes

    Article • Numerische Mathematik, February 2016, Springer Science + Business Media

    Dr Robert Nürnberg

  30. Computational Parametric Willmore Flow with Spontaneous Curvature and Area Difference Elasticity Effects

    Article • SIAM Journal on Numerical Analysis, January 2016, Society for Industrial & Applied Mathematics (SIAM)

    Dr Robert Nürnberg

  31. Numerical computations of the dynamics of fluidic membranes and vesicles

    Article • Physical Review E, November 2015, American Physical Society (APS)

    Dr Robert Nürnberg

  32. 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

  33. Finite element approximation of a phase field model arising in nanostructure patterning

    Article • Numerical Methods for Partial Differential Equations, May 2015, Wiley

    Dr Robert Nürnberg

  34. An unfitted finite element method for the numerical approximation of void electromigration

    Article • Journal of Computational and Applied Mathematics, November 2014, Elsevier

    Dr Robert Nürnberg

  35. On the stable numerical approximation of two-phase flow with insoluble surfactant

    Article • ESAIM Mathematical Modelling and Numerical Analysis, September 2014, EDP Sciences

    Dr Robert Nürnberg

  36. 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

  37. 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

  38. 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

  39. 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

  40. The order of condensation in capillary grooves

    Article • Journal of Physics Condensed Matter, April 2013, Institute of Physics Publishing

    Professor giampaolo mistura, Dr Robert Nürnberg

  41. The degenerate and non-degenerate deep quench obstacle problem: A numerical comparison

    Article • Networks & Heterogeneous Media, April 2013, American Institute of Mathematical Sciences (AIMS)

    Dr Robert Nürnberg

  42. 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

  43. 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

  44. 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

  45. 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

  46. 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

  47. 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

  48. 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

  49. 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

  50. 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

  51. Numerical simulations of immiscible fluid clusters

    Article • Applied Numerical Mathematics, July 2009, Elsevier

    Dr Robert Nürnberg

  52. A multigrid method for the Cahn–Hilliard equation with obstacle potential

    Article • Applied Mathematics and Computation, July 2009, Elsevier

    Dr Robert Nürnberg

  53. A posterioriestimates for the Cahn–Hilliard equation with obstacle free energy

    Article • ESAIM Mathematical Modelling and Numerical Analysis, June 2009, EDP Sciences

    Dr Robert Nürnberg

  54. Adaptive finite element methods for Cahn–Hilliard equations

    Article • Journal of Computational and Applied Mathematics, August 2008, Elsevier

    Dr Robert Nürnberg

  55. Finite Element Approximation of a Three Dimensional Phase Field Model for Void Electromigration

    Article • Journal of Scientific Computing, June 2008, Springer Science + Business Media

    Dr Robert Nürnberg

  56. Phase field computations for surface diffusion and void electromigration in $${\mathbb{R}^3}$$

    Article • Computing and Visualization in Science, April 2008, Springer Science + Business Media

    Dr Robert Nürnberg

  57. 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

  58. 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

  59. 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

  60. 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

  61. Stress- and diffusion-induced interface motion: Modelling and numerical simulations

    Article • European Journal of Applied Mathematics, December 2007, Cambridge University Press

    Dr Robert Nürnberg

  62. 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

  63. 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

  64. 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

  65. 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

  66. 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

  67. 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

  68. 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

  69. Convergence of a finite-element approximation of surfactant spreading on a thin film in the presence of van der Waals forces

    Article • IMA Journal of Numerical Analysis, April 2004, Oxford University Press (OUP)

    Dr Robert Nürnberg

  70. 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

  71. Finite element approximation of a sixth order nonlinear degenerate parabolic equation

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

    Dr Robert Nürnberg

  72. 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

  73. Stochastic Programming for Power Production and Trading Under Uncertainty

    Article • January 2003, Springer Science + Business Media

    Dr Robert Nürnberg

  74. 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

  75. Article • Optimization and Engineering, January 2002, Springer Science + Business Media

    Dr Robert Nürnberg