All Stories

  1. 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

  2. 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

  3. 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

  4. 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

  5. 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

  6. 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

  7. 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

  8. 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

  9. 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

  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. 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

  12. 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

  13. 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

  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. 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

  16. 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

  17. 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

  18. 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

  19. 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

  20. 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

  21. 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

  22. Numerical simulations of immiscible fluid clusters

    Article • Applied Numerical Mathematics, July 2009, Elsevier

    Dr Robert Nürnberg

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

    Article • Applied Mathematics and Computation, July 2009, Elsevier

    Dr Robert Nürnberg

  24. 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

  25. Adaptive finite element methods for Cahn–Hilliard equations

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

    Dr Robert Nürnberg

  26. 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

  27. 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

  28. 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

  29. 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

  30. 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

  31. 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

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

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

    Dr Robert Nürnberg

  33. 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

  34. 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

  35. 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

  36. 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

  37. 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

  38. 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

  39. 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

  40. 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

  41. 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

  42. 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

  43. Stochastic Programming for Power Production and Trading Under Uncertainty

    Article • January 2003, Springer Science + Business Media

    Dr Robert Nürnberg

  44. 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

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

    Dr Robert Nürnberg