Robert Nürnberg

Senior Lecturer    -     Teaching

European Exchange Programme Coordinator    -     Information

Research interests

• Numerical Analysis, (Nonlinear) Partial Differential Equations, Finite Element Approximations
• Geometric Evolution Equations, Scientific Computing
• More details on my research page.

• Here is a short CV.
• One of the things I am interested in is Formula One.

Papers

J.W. Barrett, H. Garcke and R. Nürnberg: Finite element approximation of coupled surface and grain boundary motion with applications to thermal grooving and sintering, (2009), Preprint 11/2009, University Regensburg, Germany.

J.W. Barrett, H. Garcke and R. Nürnberg: Parametric approximation of surface clusters driven by isotropic and anisotropic surface energies, Interfaces Free Bound. 12 (2010), 187--234.

J.W. Barrett, H. Garcke and R. Nürnberg: On stable parametric finite element methods for the Stefan problem and the Mullins--Sekerka problem with applications to dendritic growth, J. Comput. Phys. 229 (2010), 6270--6299.

J.W. Barrett, H. Garcke and R. Nürnberg: Numerical approximation of gradient flows for closed curves in R^d, IMA J. Numer. Anal. 30 (2010), 4--60.

Ľ. Baňas and R. Nürnberg: A posteriori estimates for the Cahn--Hilliard equation with obstacle free energy, M2AN Math. Model. Numer. Anal. 43 (2009), 1003--1026.

Ľ. Baňas and R. Nürnberg: A multigrid method for the Cahn--Hilliard equation with obstacle potential, Appl. Math. Comput. 213 (2009), 290--303.

R. Nürnberg: Numerical simulations of immiscible fluid clusters, Appl. Numer. Math. 59 (2009), 1612--1628.

Ľ. Baňas and R. Nürnberg: Phase field computations for surface diffusion and void electromigration in R^3, Comput. Vis. Sci. 12 (2009), 319--327.

J.W. Barrett, H. Garcke and R. Nürnberg: Parametric approximation of Willmore flow and related geometric evolution equations, SIAM J. Sci. Comput. 31 (2008), 225--253.

Ľ. Baňas and R. Nürnberg: Finite element approximation of a three dimensional phase field model for void electromigration, J. Sci. Comput. 37 (2008), 202--232.

Ľ. Baňas and R. Nürnberg: Adaptive finite element methods for Cahn--Hilliard equations, J. Comp. Appl. Math. 218 (2008), 2--11.

J.W. Barrett, H. Garcke and R. Nürnberg: On the parametric finite element approximation of evolving hypersurfaces in R^3, J. Comput. Phys. 227 (2008), 4281--4307.

J.W. Barrett, H. Garcke and R. Nürnberg: A variational formulation of anisotropic geometric evolution equations in higher dimensions, Numer. Math. 109 (2008), 1--44.

J.W. Barrett, H. Garcke and R. Nürnberg: On sharp interface limits of Allen--Cahn/Cahn--Hilliard variational inequalities, Discrete Contin. Dyn. Syst. Ser. S. 1 (2008), 1--14.

J.W. Barrett, H. Garcke and R. Nürnberg: Numerical approximation of anisotropic geometric evolution equations in the plane, IMA J. Numer. Anal. 28 (2008), 292--330.

H. Garcke, R. Nürnberg and V. Styles: Stress- and diffusion-induced interface motion: Modelling and numerical simulations, European J. Appl. Math. 18 (2007), 631--657.

J.W. Barrett, H. Garcke and R. Nürnberg: On the variational approximation of combined second and fourth order geometric evolution equations, SIAM J. Sci. Comput. 29 (2007), 1006--1041.

J.W. Barrett, H. Garcke and R. Nürnberg: A phase field model for the electromigration of intergranular voids, Interfaces Free Bound. 9 (2007), 171--210.

J.W. Barrett, H. Garcke and R. Nürnberg: A parametric finite element method for fourth order geometric evolution equations, J. Comput. Phys. 222 (2007), 441--467.

J.W. Barrett, R. Nürnberg and M.R.E. Warner: Finite element approximation of soluble surfactant spreading on a thin film, SIAM J. Numer. Anal. 44 (2006), 1218--1247.

J.W. Barrett, H. Garcke and R. Nürnberg: Finite element approximation of a phase field model for surface diffusion of voids in a stressed solid, Math. Comp. 75 (2006), 7--41.

J.W. Barrett and R. Nürnberg: Finite element approximation of a Stefan problem with degenerate Joule heating, M2AN Math. Model. Numer. Anal. 38 (2004), 633--652.

J.W. Barrett, R. Nürnberg and V. Styles: Finite element approximation of a phase field model for void electromigration, SIAM J. Numer. Anal. 42 (2004), 738--772.

J.W. Barrett and R. Nürnberg: 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. 24 (2004), 323--363.

J.W. Barrett, S. Langdon and R. Nürnberg: Finite element approximation of a sixth order nonlinear degenerate parabolic equation, Numer. Math. 96 (2004), 401--434.

J.W. Barrett, H. Garcke and R. Nürnberg: Finite element approximation of surfactant spreading on a thin film, SIAM J. Numer. Anal. 41 (2003), 1427--1464.

J.W. Barrett and R. Nürnberg: Finite element approximation of a nonlinear degenerate parabolic system describing bacterial pattern formation, Interfaces Free Bound. 4 (2002), 277--307.

R. Nürnberg and W. Römisch: A two-stage planning model for power scheduling in a hydro-thermal system under uncertainty, Optim. Eng. 3 (2002), 355--378.

M.P. Nowak, R. Nürnberg, W. Römisch, R. Schultz and M. Westphalen: Stochastic programming for power production and trading under uncertainty, in: Mathematics -- Key Technology for the Future (W. Jäger and H.-J. Krebs eds.), Springer 2003, 623--636.

If you have problems accessing some of these papers, please try the Spir@l digital repository.

Selected Talks

• Parametric approximation of geometric evolution equations and applications to the modelling of snowflake growth, Workshop "New Directions in Simulation, Control and Analysis for Interfaces and Free Boundaries", Oberwolfach (Germany), 2010.
• Parametric finite element approximations for Willmore flow and Helfrich flow, One Day Workshop on Biological Membranes, Regensburg (Germany), 2009.
• Adaptive finite elements for the simulation of immiscible fluid clusters, Adaptive Finite Elements: Analysis and Application, Kirchzarten (Germany), 2009.
• Numerical approximation of gradient flows for curve networks and surface clusters, New Directions in Computational PDEs, University of Warwick (UK), 2009.
• Numerical approximation of gradient flows for curves and surfaces, Numerical Solution of Complex PDE Systems, 5th MIDNAG Meeting, Leicester (UK), 2008.
• Variational approximation of geometric evolution equations, Minisymposium "PDE models of interface evolution and applications", Equadiff 07, Vienna (Austria), 2007.
• Parametric finite element approximation of evolving hypersurfaces in R^3, Minisymposium "Computational advances in evolving interfaces", ICIAM 07, Zurich (Switzerland), 2007.
• Variational approximation of anisotropic geometric evolution equations, Nonlocal and abstract parabolic equations and their applications, Bedlewo (Poland), 2007.
• Variational approximation of combined second and fourth order geometric evolution equations, Minisymposium "Morphometric Multiscale Surface Science", BAMC 2007, Bristol (UK), 2007.
• Variational approximation of anisotropic geometric evolution equations, Workshop "Anisotropic Motion Laws", Oberwolfach (Germany), 2006.
• Introduction to ALBERTA, CNAMMM "Multiscale" Research Network Meeting, Sussex (UK), 2005. [pdf]
• Finite element approximation of a phase field model for multicomponent surface diffusion, Free Boundary Problems 2005, Coimbra (Portugal), 2005.
• Finite element approximation of a void electromigration model, Workshop "Interphase 2003", Newton Institute, Cambridge (UK), 2003. [link]
• Finite element approximation of a nonlinear degenerate parabolic system describing bacterial pattern formation, X-th Summer School in Numerical Analysis, Durham (UK), 2002.
• A two-stage planning model for power scheduling in a hydro-thermal system under uncertainty, 9th International Conference on Stochastic Programming, Berlin (Germany), 2001.

Miscellaneous

• The description of a method for finding the distance from a point to an ellipse, and the distance from a point to an ellipsoid.