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Publications:
recent preprints:

Weak solutions and diffuse interface models for
incompressible twophase flows
to appear in Handbook of
Mathematical Analysis in Mechanics of Viscous Fluids, Springer,
2016 (with Helmut Abels)
PREPRINT
in refereed journals:
 AllenCahn systems with volume constraints
Mathematical Models and Methods in Applied
Sciences (M3AS), 18, Issue: 8 (2008), 13471381,
DOI: 10.1142/S0218202508003066
(with Britta Nestler, Björn Stinner and Frank Wendler)
 A
parametric finite element method for fourth order geometric evolution
equations
Journal of Computational Physics 222, Issue 1 (2007), 441467
(with John W. Barrett and Robert Nürnberg)
 Second order phase field asymptotics for multicomponent systems
Interfaces and Free Boundaries 8 (2006), 131157 (with Björn Stinner)
 Surfactant
spreading on thin viscous films: Nonnegative solutions of a coupled
degenerate system
SIAM J. Math.
Analysis 37 (6)(2006), 20252048 (with Sandra Wieland)
PREPRINT
 Finite
element approximation of a phase field model for surface diffusion of voids in a stressed solid
Math. Comp. 75 (2006), 741 (with John W. Barrett and R. Nürnberg)
 Mechanical
effects in the CahnHilliard model: A review on mathematical
results
in ``Mathematical Methods and Models in phase
transitions'', ed.: Alain Miranville, Nova Science Publ. (2005),
4377

Numerical spproximation of the CahnLarché equation
Numer. Math. 100, Number 4, 639  662 (2005) (with U. Weikard)
PREPRINT
refereed book contributions:

Multimaterial phase field approach to structural topology optimization
Leugering, G.; Benner, P; Engell, S.; Griewank, A.; Harbrecht, H.;
Hinze, M.; Rannacher and Ulbrich, S.(Eds.):
Trends in PDE Optimization, ISNM 165, 231246 (2014), Birkhäuser Verlag
(with Luise Blank, Hassan FarshbafShaker, Christoph Rupprecht, Vanessa Styles)

AllenCahn and CahnHilliard variational inequalities solved with
optimization techniques
Leugering, G.; Engell, S.; Griewank, A.; Hinze, M.; Rannacher, R.; Schulz, V.; Ulbrich, M.; Ulbrich, S.(Eds.):
International Series of Numerical Mathematics, Vol. 160, 2135 (2012)
Constrained Optimization and Optimal Control for Partial
Differential Equations, Springer Verlag Basel (with Luise Blank, Martin Butz, Lavinia Sarbu, Vanessa Styles)

Phasefield approaches to structural topology optimization
Leugering, G.; Engell, S.; Griewank, A.; Hinze, M.; Rannacher, R.; Schulz, V.; Ulbrich, M.; Ulbrich, S.(Eds.):
International Series of Numerical Mathematics, Vol. 160, 245255 (2012) Constrained Optimization and Optimal Control for Partial Differential Equations,
Springer Verlag Basel (with Luise Blank, Lavinia Sarbu, Tarin
Srisupattarawanit, Vanessa Styles, Axel Voigt)
in proceedings:
 Stability analysis of stationary solutions for surface
diffusion flow equation,
Proceedings of the Conference
``Pattern formation and asymptotic geometric structure in
reactiondiffusion systems'', October 2003 Kyoto.
Surikaisekikenkyusho Kokyuroku No. 1356 (2004), 2743. (with
K. Ito and Y. Kohsaka).
preprints (not submitted):
Habilitation thesis:
PhD thesis:

TravellingWaveLösungen als Realisierung von
Phasenübergängen bei Gedächtnismetallen,
Bonner Mathematische Schriften No. 256, (1993).
Diploma thesis:

Konstruktion von Loesungen zu Riemannproblemen
in zwei
Raumdimensionen,
University Bonn, 1989.
Other publications:
Artikel Kepler, Kristalle und
Computer. Mathematik und numerische Simulationen helfen
Kristallwachstum zu verstehen.
Mitt. Dtsch. Math.Ver. 20 (4) (2012), 219228
Beitrag
zur Kinderuni 2008
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