Research interests

• Numerical Analysis, (Nonlinear) Partial Differential Equations, Finite Element Approximations
• Geometric Evolution Equations, Free Boundary Problems, Two-Phase Navier-Stokes flow
• Scientific Computing, High Performance Computing

Thesis

• Front tracking finite element methods for two-phase Navier–Stokes flow,
  1 February 2018, Imperial College London, London, UK.
  [Source]

Publications

• M. Agnese and R. Nürnberg:
  Fitted finite element discretization of two-phase Stokes flow,
  Internat. J. Numer. Methods Fluids 82 (2016), 709–729.
  [Open access] [Source]

• M. Agnese and R. Nürnberg:
  Fitted front tracking methods for two-phase incompressible Navier–Stokes flow: Eulerian and ALE finite element discretizations,
  Int. J. Numer. Anal. Model. 17 (2020), 613–642.
  [Source]

Talks

• Fitted Finite Element Discretization of Two-Phase (Navier–) Stokes Flow,
  9 March 2016, SIAM Student Chapter, PDE Theme Day, Imperial College London, London, UK.
  [Abstract] [Slides] [Source]

• Fitted Finite Element Discretization of Two-Phase Navier–Stokes Flow,
  27 April 2016, The 8th Oxford University SIAM Student Chapter Conference, University of Oxford, Oxford, UK.
  [Abstract] [Slides] [Source]

• Fitted ALE scheme for Two-Phase Navier–Stokes Flow,
  14-17 June 2016, The Mathematics Of Finite Elements And Applications 2016 (MAFELAP 2016), Brunel University London, London, UK.
  [Abstract] [Slides] [Source]

• Fitted Finite Element Discretization of Two-Phase Navier-Stokes Flow,
  28 June 2016, CDT Fluids Student Symposium 2016, Imperial College London, London, UK.
  [Abstract] [Slides] [Source]

• FEM approximation of Two-Phase Navier–Stokes Flow using DUNE-FEM,
  4-8 July 2016, PDE Software Frameworks 2016, The University of Warwick, Coventry, UK.
  [Abstract] [Slides] [Source]

• Fitted ALE scheme for Two-Phase Navier–Stokes Flow,
  31 July-6 August 2016, Computational Methods in Applied Mathematics (CMAM-7), University of Jyväskylä, Finland.
  [Abstract] [Slides] [Source]

• Fitted ALE scheme for Two-Phase Navier–Stokes Flow,
  7-9 September 2016, Inaugural UK Fluids Conference, Imperial College London, London, UK.
  [Abstract] [Slides] [Source]