Publications

I. Nitschke, A. Voigt: Observer-invariant time derivatives on moving surfaces
Journal of Geometry and Physics

Phys. Rev. E 104 (2021), 054410

Mesoscale defect motion in binary systems: effects of compositional strain and Cottrell atmospheres, Phys. Rev. Lett 126 (2021), 185502

D. Wenzel, M. Nestler, S. Reuther, M. Simon, A. Voigt: Defects in Active Nematics: Algorithms for Identification and Tracking, Comput. Methods Appl. Math 21 (2021), 683-692

article             Ray2018

article
Nitschke2017

article
Alaimo2017

M. Salvalaglio, R. Bergamaschini, R. Backofen, A. Voigt, F. Montalenti, L. Miglio: Phase-field simulations of faceted Ge/Si-crystal arrays, merging into a suspended film. Applied Surface Science, 391 (2017),    33 - 38

article
Salvalaglio2017

Völp2016

R. Bergamaschini, M. Salvalaglio, R. Backofen, A. Voigt, F. Montalenti:
Continuum modeling of heteroepitaxy.
Advances in Physics X, 1 (3) (2016), 331 - 367

article
Bergamschini2016

W. Marth, A. Voigt:
Collective migration under hydrodynamic interactions - a computational approach.
Interface Focus, 6 (2016), 20160037

article
Marth2016

S. Reuther, A. Voigt:
Incompressible two-phase flows with an inextensible Newtonian fluid interface.
Journal of Computational Physics, 322 (2016), 850-858

F. Alaimo, S. Praetorius, A. Voigt:
A microscopic field theoretical approach for active systems.
New Journal of Physics, 18 (2016), 083008

A. Naumann, N. Lang, M. Partzsch, M. Beitel-schmidt, P. Benner, A. Voigt, J. Wensch:
Computation of thermo-elastic deformations on machine tools: A study of numerical methods.
Production Engineering Research & Development​, 10 (2016), 253 - 263

C. Köhler, R. Backofen, A. Voigt:
Stress induced branching of growing crystals on curved substrates.
Phys. Rev. Lett., 116 (2016), 135502

W. Marth, S. Aland, A. Voigt:
Margination of white blood cells - a computational approach by a hydrodynamic phase field model.
J. Fluid Mechanics, 709 (2016), 389-406 

A. Voigt:
Comment on "Degenerate mobilities in phase field models are insufficient to capture surface diffusion" [Appl. Phys. Lett. 107 (2015) 081603]
Appl. Phys. Lett., 108 (2016), 036101 

S. Ling, W. Marth, S. Praetorius, A. Voigt:
An adaptive finite element multi-mesh approach for interacting deformable objects in flow.
Computational Methods in Applied Mathematics, 16 (3 ) (2016), 475 - 484

S. Aland, F. Chen:
An efficient and energy stable scheme for a phase-field model for the moving contact line problem.
International Journal for Numerical Methods in Fluids, 91 (11), (2016), 657 - 671

J. Lowengrub, J. Allard, S. Aland:
Numerical simulation of endocytosis: viscous flow driven by membranes with non-uniformly distributed curvature-inducing molecules.
Journal of Computational Physics, 309 (2016), 112-128 

C. Ohsenbrügge, W. Marth, I. Navarro y de Sosa, W.-G. Drossel, A. Voigt:
Reduced material model for closed cell metal foam infiltrated with phase change material based on high resolution numerical studies.
Applied Thermal Engineering, 94 (2016), 505-512 

G. Froyland, K. Padberg-Gehle:
A rough-and-ready cluster-based approach for extracting finite-time coherent sets from sparse and incomplete trajectory data.
Chaos, 25 (8), (2016), 087406

A. Mietke, O. Otto, S. Girardo, P. Rosendahl, A. Taubenberger, S. Golfier, E. Ulbricht, S. Aland,
J. Guck, E. Fischer-Friedrich:
Extracting cell stiffness from real-time deformability cytometry: a theoretical and experimental analysis. 
Biophysical Journal, 109 (10), (2015), 2023-2036 

C. Köhler, R. Backofen, A. Voigt:
Relaxation of curvature induced elastic stress by the Asaro-Tiller-Grinfeld instability.
Europhysics Letters, 111 (4), (2015), 48006 

M. Horbens, D. Branke, R. Gärtner, A. Voigt, C. Neinhuis:
Multi-scale simulation of plant stem reinforcement by brachysclereids: a case study in apple fruit peduncles.
Journal of Structural Biology, 192 (1), (2015), 116-126

S. Aland, H. Hatzikirou, J. Lowengrub, A. Voigt:
A mechanistic collective cell model for epithelial colony growth and contact inhibition.
Biophysical Journal, 109 (7), (2015), 1347-1357

M. Salvalaglio, R. Bergamaschini, F. Isa, A. Scaccabarozzi, G. Isella, R. Backofen, A. Voigt, F. Montalenti, G. Capellilni, T. Schröder, H. von Känel, L. Miglio:
Engineered coalescence by annealing 3D Ge microstructures into high-quality suspended layers on Si.
ACS Appl. Mater. Interfaces, 7 (34), (2015), 19219-19225

S. Tang, S. Praetorius, R. Backofen, A. Voigt, Y.-M. Yu, J. Wang:
Two-dimensional liquid crystalline growth within a phase-field-crystal model.
Phys. Rev. E, 92 (2015), 012504

S. Reuther, A. Voigt:
The interplay of curvature and vortices in flow on curved surfaces.
SIAM Multiscale Model. Simul., 13 (2), (2015), 632-643

S. Praetorius, A. Voigt:
Development and analysis of a block-preconditioner for the phase-field crystal equation.
SIAM J. Sci. Comput., 37 (3), (2015), B425-B451 

K. Schwarzenberger, S. Aland, H. Domnick, S. Odenbach, K. Eckert:
Relaxation oscillations of solutal Marangoni convection at curved interfaces.
Colloids and Surfaces A: Physicochemical and Engineering Aspects, 481 (2015), 633-643 

M. Salvalaglio, R. Backofen, R. Bergamaschini, F. Montalenti, A. Voigt:
Faceting of equilibrium and metastable nanostructures: a Phase-Field model of surface diffusion tackling realistic shapes.
Cryst. Growth Des., 15 (6), (2015), 2787-2794 

W. Marth, S. Praetorius, A. Voigt:
A mechanism for cell motility by active polar gels.
J. R. Soc. Interface, 12 (107), (2015), 20150161 

T. Witkowski, S. Ling, S. Praetorius, A. Voigt:
Software concepts and numerical algorithms for a scalable adaptive parallel finite element method.
Adv. Comput. Math., 41 (6), (2015), 1145-1177

S. Praetorius, A. Voigt:
A Navier-Stokes phase-field crystal model for colloidal suspensions.
J. Chem. Phys., 142 (2015), 154904

A. Naumann, F. Stenger, A. Voigt, J. Wensch:
High-accuracy thermo-elastic simulation on massively parallel computer.
in K. Großmann (ed.): Thermo-energetic design of machine tools. Lecture Notes in Production Engineering (2015), 95-110

G. Froyland, K. Padberg-Gehle:
Almost-invariant and finite-time coherent sets: directionality, duration, and diffusion.
In: Ergodic Theory, Open Dynamics, and Coherent Structures, 70 (2014), 171-216, Springer

S. Aland, S. Egerer, J. Lowengrub, A. Voigt:
Diffuse interface models of locally inextensible vesicles in a viscous fluid.
J. Comput. Phys, 277 (2014), 32-47

W. Marth, A. Voigt:
Signaling networks and cell motility - a computational approach using a phase field description.
J. Math. Biol., 69 (1), (2014), 91-112

S. Balasuriya, K. Padberg-Gehle:
Accurate control of hyperbolic trajectories in any dimension. 
Phys. Rev. E, 90 (2014), 032903

S. Balasuriya, K. Padberg-Gehle:
Nonautonomous control of stable and unstable manifolds in two-dimensional flows. 
Physica D, 276 (2014), 48-60

V. Schmid, A. Voigt:
Crystalline order and topological charges on capillary bridges.
Soft Matter, 10 (26), (2014), 4694-4699

R. Backofen, R. Bergamaschini, A. Voigt:
The interplay of morphological and compositional evolution in crystal growth: a phase-field model.
Philosophical Magazine, 94 (19), (2014), 2162-2169

K. Padberg-Gehle:
Set-oriented numerical analysis of time-dependent transport.
Oberwolfach Reports, 4 (2014)

R. Backofen, A. Voigt:
A phase field crystal study of heterogeneous nucleation - Application of the string method.
Eur. Phys. J. Special Topics, 223 (2014), 497-509

S. Aland:
Time integration for diffuse interface models for two-phase flow.
J. Comput. Phys., 262C (2014), 58-71

R. Backofen, K. Barmak, K. E. Elder, A. Voigt:
Capturing the complex physics behind universal grain size distributions in thin metallic films.
Acta Materialia, 64 (2014), 72-77

S. Aland, C. Landsberg, R. Müller, M. Bobeth, A. C. Langheinrich, A. Voigt:
Adaptive diffuse domain approach for calculating mechanically induced deformation of trabecular bone.
Comp. Meth. in Biomech. and Biomed. Eng., 17 (1), (2014), 31-38

A. Naumann, J. Wensch:
Defect corrected averaging for parabolic PDEs.
PAMM, 13 (2013), 509-510

S. Aland, C. Lehrenfeld, H. Marschall, C. Meyer, S. Weller:
Accuracy of two-phase flow simulations: The Taylor Flow benchmark.
PAMM, 13 (1), (2013), 595-598

S. Balasuriya, K. Padberg-Gehle:
Controlling the unsteady analogue of saddle stagnation points.
SIAM J. Appl. Math., 73 (2), (2013), 1038-1057

F. Haußer, S. Li, J. Lowengrub, W. Marth, A. Rätz, A. Voigt:
Thermodynamically consistent models for two-component vesicles.
Int. J. Biomath. and Biostat., 2 (1), (2013), 19-48

S. Praetorius, A. Voigt, R. Wittkowski, H. Löwen:
Structure and dynamics of interfaces between two coexisting liquid crystalline phases.
Phys. Rev. E 87 (2013), 052406

S. Eckert, P. A. Nikrityuk, B. Willers, D. Rabiger, N. Shevchenko, H. Neumann-Heyme, V. Travnikov, S. Odenbach, A. Voigt, K. Eckert:
Electromagnetic melt flow control during solidification of metallic alloys.
Eur. Phys. J. Special Topics, 220 (2013), 123-137

S. Aland, A. Hahn, F. Klingbeil, M. Weismann, S. Weller:
Quantitative comparison of Taylor Flow simulations based on sharp- and diffuse-interface models.
International Journal for Numerical Methods in Fluids, 73 (2013), 344-361

X. Liang, R. Gärtner, J.-M. Verbavatz, C. Schiklenk, M. Wilsch-Bräuninge, A. Bogdanova, F. Stenger, A. Voigt, J. Howard:
A NOMPC-dependent membrane-microtubule connector is a candidate for the gating spring in fly mechanoreceptors.
Current Biology, 13 (2013), 1-9

S. Aland, S. Schwarz, J. Fröhlich, A. Voigt:
Modeling and numerical approximations for bubbles in liquid metal.
Eur. Phys. J. Special Topics, 220 (2013), 185-194

R. Hensel, R. Helbig, S. Aland, A. Voigt, C. Neinhuis, C. Werner:
Tunable nano-replication to explore the omniphobic characteristics of springtail skin.
NPG Asia Materials, 5 (2013), e37

R. Hensel, R. Helbig, S. Aland, H.-G. Braun, A. Voigt, C. Neinhuis, C. Werner:
Wetting resistance at its topographical limit: The benefit of mushroom and serif T structures.
Langmuir, 29 (4) (2013), 1100-1112

S. Aland, J. Lowengrub, A. Voigt:
Particles at fluid-fluid interfaces: A new Navier-Stokes-Cahn-Hilliard surface-phase-field-crystal model.
Phys. Rev. E, 86 (2012), 046321

G. Froyland, K. Padberg-Gehle:
Finite-time entropy: a probabilistic approach for measuring nonlinear stretching.
Physica D, 241 (2012), 1612-1628

I. Nitschke, A. Voigt, J. Wensch:
A finite element approach to incomressible two-phase flow on manifolds.
J. Fluid Mech., 708 (2012), 418-438

A. Voigt, T. Witkowski:
A multi-mesh finite element method for Lagrange elements of arbitrary degree.
Journal of Computational Science, 3 (2012), 420-428

T. Witkowski, R. Backofen, A. Voigt:
The influence of membrane bound proteins on phase separation and coarsening in cell membranes.
Phys. Chem. Chem. Phys., 14 (2012), 14509-14515

S. Aland, A. Voigt:
Simulation of common features and differences of surfactant-based and solid-stabilized emulsions.
Colloids and Surfaces A, 413 (2012), 298-302

S. Franz, R. Gärtner, H.-G. Roos, A. Voigt:
A note on the convergence analysis of a diffuse-domain approach.
Comp. Meth. in Appl. Math., 12 (2012), 153-167

C. Leduc, K. Padberg-Gehle, V. Varga, D. Helbing, S. Diez, J. Howard:
Molecular crowding creates traffic jams of kinesin motors on microtubules.
PNAS, 109 (2012), 6100-6105

C. Leduc, K. Padberg-Gehle, V. Varga, D. Helbing, S. Diez, J. Howard: 
How to avoid the formation of molecular motors traffic jam during intracellular transport. 
Médecine sciences, 28 (12), (2014), 1064-1066

S. Aland, A. Rätz, M. Röger, A. Voigt:
Buckling instability of viral capsides - a continuum approach.
Multiscale Model. Simul., 10 (2012), 82-110

L. Blank, H. Garcke, L. Sarbu, T. Srisupattarawanit, V. Styles, A. Voigt:
Phase-field approaches to structural topology optimization.
Int. Ser. Num. Math., 160 (2012), 245-256

F. Haußer, S. Rasche, A. Voigt:
Control of nanostructures through electric fields and related free boundary problems.
Int. Ser. Num. Math., 160 (2012), 561-572

C. Jäger, S. Praetorius, A. Voigt:
Super-resolution of images using area preserving geometric evolution laws.
ISRN Computer Graphics, 2012 (2012), 846980

Z. Hu, J. Lowengrub, S. Wise, A. Voigt:
Phase-field modeling of epitaxial growth: Applications to step trains and island dynamics.
Physica D, 241 (2012), 77-94

S. Li, J. Lowengrub, A. Voigt:
Locomotion, wrinkling, and budding of a multicomponent vesicle in viscous fluids.
Comm. Math. Sci. , 10 (2012), 645-670

S. Aland, A. Voigt:
Benchmark computations of diffuse interface models for two-dimensional bubble dynamics.
Journal for Numerical Methods in Fluids, 69 (2012), 747-761

M. Dellnitz, K. Padberg, R. Preis, B. Thiere:
Continuous and discrete concepts for detecting transport barriers in the planar circular restricted three body problem.
In J.A.T. Machado et al. (eds): Nonlinear Science and Complexity, Springer (2011), 99-105

Y.-M. Yu, A. Voigt, X. Guo, Y. Liu:
Simultaneous step meandering and bunching instabilities controlled by Ehrlich-Schwoebel barrier and elastic interaction.
Appl. Phys. Lett., 99 (2011), 263106

S. Tang, R. Backofen, J. Wang, Y. Zhou, A. Voigt, Y.-M. Yu:
Three-dimensional phase-field crystal modeling of fcc and bcc dendritic crystal growth.
Journal of Crystal Growth, 334 (2011), 146-152

article
Tang2011

S. Praetorius, A. Voigt:
A Phase Field Crystal Approach for Particles in a Flowing Solvent.
Macromolecular Theory and Simulations, 20 (2011), 541-547

S. Aland, J. Lowengrub, A. Voigt:
A continuum model of colloid-stabilized interfaces.
Physics of Fluids, 23 (2011), 062103

A. S. Kozlov, J. Baumgart, T. Risler, C. P. C. Versteegh, A. J. Hudspeth:
Forces between clustered stereocilia minimize friction in the ear on a subnanometre scale.
Nature, 474 (2011), 376-379

K. E. Teigen, P. Song, J. Lowengrub, A. Voigt:
A diffuse-interface method for two-phase flows with soluble surfactants.
J. Comput. Phys., 230 (2011), 375-393

Y.-M. Yu, R. Backofen, A. Voigt:
Morphological instability of heteroepitaxial growth on vicinal substrates: A phase-field crystal study.
J. Crystal Growth, 318 (2011), 18-22

R. Backofen, M. Gräf, D. Potts, S. Praetorius, A. Voigt, T. Witkowski:
A continuous approach to discrete ordering on S^2.
Multiscale Model. Simul., 9 (2011), 314-334

C. Landsberg, F. Stenger, A. Deutsch, M. Gelinsky, A. Rösen-Wolff, A. Voigt:
Chemotaxis of mesenchymal stem cells within 3D biomimetic
scaffolds - a modeling approach.
Journal of Biomechanics, 44 (2), (2011), 359

C. Landsberg, A. Voigt:
A multigrid finite element method for reaction-diffusion systems on surfaces.
Comp. Vis. Sci. 2010, 13 (4), (2010), 177-185

J. Wensch, P. Gottschling:
Minisymposium on high performance computational methods for partial differential equations.
In ICNAAM 2010, 1281 (2010), 1630

J. Wensch, P. Gottschling:
A parallel communication structure for the multilayer shallow water equations.
In ICNAAM 2010, 1281 (2010), 1667-1670

R. Backofen, A. Voigt,
A phase-field-crystal approach to critical nuclei.
J. Phys. Condens. Matter 22, (2010), 364104

P. Stumm und A. Walther:
New Algorithms for Optimal Online Checkpointing.
SIAM J. Sci. Comput., 32 (2), (2010), 836-854

S. Aland, J. Lowengrub, A. Voigt:
Two-phase flow in complex geometries: A diffuse domain approach.
CMES 57 (1), (2010), 77-108

A. Voigt, T. Witkowski:
Hybrid parallelization of an adaptive finite element code.
Kybernetika, 46 (2), (2010), 316-327

F. Haußer, S. Rasche, A. Voigt:
The influence of electric fields on nanostructures - simulation and control.
Mathematics and Computers in Simulation, 80, (2010), 1449-1457

R. Backofen, F. Bernal, A. Voigt:
Elastic interactions in phase-field-crystal models - numerics and postprocessing.
Internat. Journal of Materials Research, 110 (4), (2010), 467-472

R. Backofen, T. Witkowski, A. Voigt:
Particles on curved surfaces - a dynamic approach by a phase-field-crystal model.
Phys. Rev. E, 81, (2010), 025701 R

J. S. Sohn, Y.-H. Tseng, Sh. Li, A. Voigt, J. S. Lowengrub:
Dynamics of multicomponent vesicles in a viscous fluid.
J. Comput. Phys., 229 (1), (2010), 119-144

R. Donner, K. Padberg, J. Höfener, D. Helbing:
Dynamics of supply chains under mixed production strategies.
In A. D. Fitt et al. (eds): Progress in Industrial Mathematics at ECMI 2008, Springer, Berlin (2010), 521-527

K. E. Teigen, X. Li, J. Lowengrub, F. Wang, A. Voigt:
A diffuse-interface approach for modeling transport, diffusion and adsorption/desorption of material quantities on a deformable interface.
Comm. Math. Sci., 7 (2009), 1009-1037

R. Backofen, A. Voigt:
Solid-liquid interfacial energies and equilibrium shapes of nanocrystals.
J. Phys. Condens. Matter, 21 (2009), 464109

Y.-M. Yu, B.-G. Liu, A. Voigt:
Phase-field modeling of anomalous spiral step growth on Si (001) surface.
Phys. Rev. B, 79 (2009), 235317

B. Li, J. Lowengrub, A. Rätz, A. Voigt:
Geometric evolution laws for thin crystalline films: Modeling and numerics.
Commun. Comput. Phys., 6 (2009), 433-482

S. van Teeffelen, R. Backofen, A. Voigt, H. Löwen:
Derivation of the phase-field-crystal model for colloidal solidification.
Phys. Rev. E, 79 (2009), 051404

X. Li, J. Lowengrub, A. Rätz, A. Voigt:

Solving PDE's in complex geometries: A diffuse domain approach.
Comm. Math. Sci., 7 (2009), 81-107

J. Lowengrub, A. Rätz, A. Voigt:
Phase-field modeling of the dynamics of multicomponent vesicles: Spinodal decomposition, coarsening, budding, and fission.
Phys. Rev. E, 79 (2009), 031926

Y-M. Yu, A. Voigt:
Directed self-organization of trenched templates for nanowire growth.
Appl. Phys. Lett., 94 (2009), 043108

S. Torabi, J. Lowengrub, A. Voigt, S. Wise:
A new phase-field model for strongly anisotropic systems.
Proc. R. Soc. A, 465 (2009), 1337-1359

D. Helbing, A. Deutsch, S. Diez, K. Peters, Y. Kalaidzidis, K. Padberg-Gehle, S. Lämmer, A. Johansson, G. Breier, F. Schulze, M. Zerial:
BioLogistics and the Struggle for Efficiency: Concepts and Perspectives.
Advances in Complex Systems, 12 (6), (2009), 533-548

M. Dellnitz, G. Froyland, Ch. Horenkamp, K. Padberg-Gehle, A. Sen Gupta:
Seasonal variability of the subpolar gyres in the Southern Ocean: a numerical investigation based on transfer operators.
Nonlinear Processes in Geophysics, 16 (2009), 655-663

M. Dellnitz, G. Froyland, Ch. Horenkamp, K. Padberg:
On the approximation of transport phenomena - a dynamical systems approach.
GAMM-Mitteilungen, 32 (1), (2009), 47-60

K. Padberg, B. Thiere, R. Preis, M. Dellnitz:
Local expansion concepts for detecting transport barriers in dynamical systems.
Communications in Nonlinear Science and Numerical Simulations, 14 (12), (2009), 4176-4190

G. Froyland, K. Padberg:
Almost-invariant sets and invariant manifolds - connecting probabilistic and geometric descriptions of coherent structures in flows.
Physica D, 238 (2009), 1507-1523

J. Wensch, A. Gerisch, S. Posch:
Optimised coupling of hierarchies in image registration.
Image and Vision Computing, 26 (2008), 1000-1011

P. Gottschling, T. Witkowski, A. Voigt:
Integrating object-oriented and generic programming paradigms in real-world software environments: Experiences with AMDiS and MTL4.
In POOSC 2008  at ECOOP08, Paphros, Cyprus (2008)

C. Stöcker, A. Voigt:
Geodesic evolution laws – a level set approach
SIAM Imag. Sci., 1 (4), (2008), 379-399

C. Stöcker, A. Voigt:
A level set approach to anisotropic surface evolution with free adatoms.
SIAM J. Appl. Math., 69 (1), (2008), 64-80

A. Ribalta, C. Stöcker, S. Vey, A. Voigt:
AMDiS - Adaptive Multidimensional Simulations: parallel concepts.
Langer, Ulrich (ed.) et al., Domain decomposition methods in science and engineering XVII. based on the 17th Int. Conf. on Domain Decomposition Methods, St. Wolfgang/Strobl, Austria, (2006), Springer, LNCSE, 60 (2008), 615-621

Y.-M. Yu, R. Backofen, A. Voigt:
Phase-field simulation of stripe arrays on metal bcc (110) surfaces.
Phys. Rev. E, 77 (2008), 051605

M. Burger, C. Stöcker, A. Voigt:
Finite element-based level set methods for higher order flows.
J. Sci. Comput., 35 (2008), 77-98

B. Berkels, A. Rätz, M. Rumpf, A. Voigt:
Extracting grain boundaries and macroscopic deformations from images on atomic scale.
J. Sci. Comput., 35 (2008), 1-23

A. Redinger, O. Ricken, P. Kuhn P, A. Rätz, A. Voigt, J. Krug, T. Michely:
Spiral growth and step edge barriers.
Phys. Rev. Let., 100 (3), (2008), 035506

G. Froyland, M. Schwalb, K. Padberg, M. Dellnitz:
A transfer operator based numerical investigation of coherent structures in three-dimensional Southern ocean circulation.
Proceedings of the International Symposium on Nonlinear Theory and its Applications (NOLTA2008), Budapest, Hungary, (2008), 313-316

B. Berkels, M. Rumpf, A. Rätz, A. Voigt:
Identification of grain boundary contours at atomic scale.
Proceedings of the First International Conference on Scale Space Methods and Variational Methods in Computer Vision, Springer, (2007), 765-776

S. Vey, A. Voigt:
Adaptive full domain covering meshes for parallel finite element computations.
Comput., 81 (2007), 53-75

S. Vey, A. Voigt:
AMDIS - adaptive multidimensional simulation.
Comput. Vis. Sci., 10 (2007), 57-66

J. Lowengrub, J. J. Xu, A. Voigt:
Surface phase separation and flow in a simple model of multicomponent drops and vesicles.
Fluid Dynamics and Materials Processing, 3 (2007), 13-28

A. Rätz, A. Voigt:
A diffuse-interface approximation for surface diffusion including adatoms.
Nonlinearity, 20 (1), (2007), 177-192

M. Burger, F. Haußer, C. Stöcker, A. Voigt:
A level set approach to anisotropic flows with curvature regularization.
J. Comp. Phys., 225 (1), (2007), 183-205

D.-H. Yeon, P.-R. Cha, J. Lowengrub, A. Rätz, A. Voigt, K. Thornton:
Linear stability analysis for step meandering instabilities with elastic interactions and Ehrlich-Schwoebel barriers.
Phys. Rev. E, 76 (1), (2007), 011601

R. Backofen, A. Rätz, A. Voigt:
Nucleation and growth by a phase field crystal (PFC) model.
Phil. Mag. Lett., 87 (11), (2007), 813-820

F. Haußer, P. Kuhn, J. Krug, A. Voigt:
Morphological stability of electromigration-driven vacancy islands.
Phys. Rev. E, 75 (2007), 046210

F. Haußer, M.E. Jabbour, A. Voigt:
A step flow model for the heteroepitaxial growth of substitutional alloys with phase segregation: I. theory
Multiscale Modeling and Simulation, 6 (2007), 158-189

C. Stöcker, A. Voigt:
The effect of kinetics in the surface evolution of thin crystalline films.
J. Crystal Growth, 303 (2007), 90-94

F. Haußer, A. Voigt:
A discrete scheme for parametric anisotropic surface diffusion.
J. Sci. Comput., 30 (2007), 223-235

R. Backofen, A. Voigt:
A cellular automata algorithm for step dynamics in continuum modeling of epitaxial growth.
J. Crystal Growth, 303 (2007), 100-104

F. Haußer,  A. Voigt:
Step meandering in epitaxial growth.
Journal of Crystal Growth, 303 (2007), 80-84

A. Voigt, C. Weichmann:
Adaptive FEM/BEM coupling for solving global heat transfer in high-temperature furnaces.
Num. Heat Transfer, 51 (1), (2007), 25-41

R. Backofen, A. Ribalta, A. Voigt, D. Wulff-Molder:
BaF2 for microlithography applications: modeling, simulation and optimization of the crystal growth process.
J. Comput. Appl. Math., 203 (2007), 362-375

S. Hartmann, J. Wensch:
Finite-element analysis of viscoelastic structures using Rosenbrock-type methods.
Comput. Mechanics, 40 (2007), 383-398

K. Padberg, Th. Hauff, F. Jenko, O. Junge:
Lagrangian structures and transport in turbulent magnetized plasmas.
New Journal of Physics, 9 (2007), 400

G. Froyland, K. Padberg, M.H. England, A.M. Treguier:
Detection of coherent oceanic structures via transfer operators.
Physical Review Letters, 98 (22), (2007), 224503

M. Dellnitz, K. Padberg, M. Post, B. Thiere:
Set oriented approximation of invariant manifolds: Review of concepts for astrodynamical problems.
In E. Belbruno (ed.): New Trends in Astrodynamics and Applications III, AIP Conference Proceedings, 886 (2007), 90-99

L. Balykov, A. Voigt:
A kinetic model for step flow growth in molecular beam epitaxy.
Surface Science, 600 (2006), 3436-3445

A. Rätz, A. Voigt:
Higher order regularization of anisotropic geometric evolution equations in three dimensions.
J. Comp. Theor. Nanoscience, 3 (2006), 560-564

A. Rätz, A. Voigt:
PDE’s on surfaces - diffuse interface approach.
Comm. Math. Sci., 4 (2006), 575-590

L. Balykov, A. Voigt:
A 2 + 1 dimensional terrace-stepkink model for epitaxial growth far from equilibrium.
Multiscale Modeling and Simulation, 5 (2006), 45-61

F. Haußer, A. Voigt:
A numerical scheme for regularized anisotropic curve shortening flow.
Appl. Math. Let., 19 (2006), 691-698

A. Rätz, A. Ribalta, A. Voigt:
Surface evolution of elastically stressed films under deposition by a diffuse interface model.
J.  Comp. Phys., 214 (2006), 187-208

M. Wensch-Dorendorf,  J. Wensch, H.H. Swalve:
A general Method to Audit BLUP Programs.
Bulletin of the International Bull Evaluation Service, 35 (2006), 155-158

M. Dellnitz, O. Junge, A. Krishnamurthy, S. Ober-Blöbaum, K. Padberg, R. Preis:
Efficient Control of Formation Flying Spacecraft.
In New Trends in Parallel & Distributed Computing, 6th Heinz Nixdorf Symposium, HNI-Verlagsschriftenreihe, 181 (2006), 235-247

E. Bänsch, F. Haußer, A. Voigt:
Finite element method for epitaxial growth with thermodynamic boundary conditions.
SIAM J. Sci.c Comp., 26 (2005), 2029-2046

R. Backofen, A. Voigt, D. Wulff-Molder:
A framework for optimization of crystal growth processes applied to VGF growth of fluorides
J. Crystal Growth, 275 (2005), 349-353

A. Voigt:
Growth mechanisms on stepped surfaces, from atomistic to step-flow models
J. Crystal Growth, 275 (2005), e2251-e2256

P. Kuhn, J. Krug, F. Haußer, A. Voigt:
Complex shape evolution of electromigration-driven single-layer islands.
Phys. Rev. Let., 94 (2005), 166105

C. Stöcker, S. Vey, A. Voigt:
AMDiS - adaptive multidimensional simulations: composite finite elements and signed distance functions.
WSEAC Transactions on Circuits and Systems, 4 (2005), 111-116

A. Voigt:
Dynamics of evolving surfaces with small corner energy regularization.
Nonlinear Analysis, 63 (5-7), (2005), e1179-e1184

L. Balykov, A. Voigt:
Kinetic model for step flow growth of [100] steps.
Phys. Rev. E, 72 (2005), 022601

F. Haußer, A. Voigt:
A discrete scheme for regularized anisotropic surface diffusion: a 6th order geometric evolution equation.
Interfaces and Free Boundaries, 7 (2005), 353-369

F. Haußer, A. Voigt:
Ostwald ripening of two-dimensional homoepitaxial islands.
Phys. Rev. B, 72 (2005), 035437

J. Wensch:
Krylov-ROW methods for DAEs of index 1 with applications to viscolelasticity.
Applied Numerical Mathematics, 53 (2005), 527-541

R. Müller, P. Gottschling, M. Gaber:
Water Concentration and Diffusivity in Silicates Obtained by Vacuum Extraction.
Glass Science and Technology, 78 (2005)

M. Dellnitz, K.A. Grubits, J.E. Marsden, K. Padberg, B. Thiere:
Set oriented computation of transport rates in 3-degree of freedom systems: the Rydberg atom in crossed fields.
Regular and Chaotic Dynamics, 10 (2), (2005), 173-192

M. Dellnitz, O. Junge, M.W. Lo, J.E. Marsden, K. Padberg, R. Preis, S.D. Ross, B. Thiere:
Transport of Mars-Crossing Asteroids from the Quasi-Hilda Region.
Physical Review Letters, 94 (23), (2005), 231102

M. Dellnitz, O. Junge, W.S. Koon, F. Lekien, M.W. Lo, J.E. Marsden, K. Padberg, R. Preis, S.D. Ross, B. Thiere:
Transport in Dynamical Astronomy and Multibody Problems.
International Journal of Bifurcation and Chaos (IJBC), 15 (2005), 699-727

R. Backofen, T. Bilz, A. Ribalta, A. Voigt:
SPN-approximations of internal radiation in crystal growth of optical materials.
J. Crystal Growth, 266 (2004), 264-270

E. Bänsch, O. Lakkis, B. Li, F. Haußer, A. Voigt:
Finite element method for epitaxial growth with attachment-detachment kinetics.
J. Comp. Phys., 194 (2004), 409-434

M. Griebel, L. Jager, A. Voigt:
Predicting material parameters for intrinsic point defect diffusion in silicon crystal growth.
Solid State Phenomena, 95-96 (2004), 35-40

F. Haußer, A. Voigt:
Finite element method for epitaxial island growth.
J. Crystal Growth, 266 (2004), 381-387

B. Li, A. Rätz, A. Voigt:
Stability of a circular epitaxial island.
Physica D, 83 (2004), 1015-1025

F. Otto, P. Penzler, A. Rätz, T. Rump, A. Voigt:
A diffuse interface approximation for step flow in epitaxial growth. Nonlinearity, 17 (2004), 477-491

A. Rätz, A. Voigt:
Various phase-field approximations for epitaxial growth.
J. Crystal Growth, 266 (2004), 278-282

A. Voigt, N. Hanßen, C. Weichmann:
The radiosity equation for solving global heat transfer in industrial furnaces.
Mathematical and Computer Modelling, 39 (2004), 145-150

A. Voigt, C. Weichmann:
Defect formation in CZ silicon growth, a multiscale approach.
J. Crystal Growth, 266 (2004), 126-131

J. Wensch, B. P.Sommeijer:
Parallel simulation of axon growth in the nervous system.
Parallel Computing, 30 (2004), 163-186

J. Wensch, M. Dane, W. Hergert, A. Ernst:
The solution of stationary ODE problems in quantum mechanics by Magnus methods with stepsize control.
Computer Physics Communications, 160 (2004), 129-139

M. Hartmann, B.D. Hanh, H. Podhaisky, J. Wensch, J. Bodzenta, S. Wartewig, R. Neubert:
A new FTIR-ATR cell for drug diffusion studies.
The Analyst (2004), 902-905

A. Voigt, C. Weichmann:
Relating microdefects to growth conditions in Czochralski Si crystal growth.
Crystal Growth & Design, 3 (2003), 727-731

A. Voigt, C. Weichmann, J. Nitschkowski, E. Dornberger, R. Hölzl:
Transient and quasi-stationary simulation of heat and mass transfer in Czochralski silicon crystal growth.
Crystal Research and Technology, 38 (2003), 499-505

M. Griebel, L. Jager, A. Voigt:
Computing diffusion coefficient of intrinsic point defects in crystalline silicon
In D. Hui, editor, Proceedings of the 10th International Conference on Composites Engineering, (2003), 487-488

K.-H. Hoffmann, A. Voigt, M. Metzger:
Numerical simulation and control of industrial crystal growth processes.
In W. Jäger and H.-J. Krebs, editors, Mathematics - Key Technology for the Future, Springer, (2003), 331-342

A. Voigt, C. Weichmann:
Transport of point defects in growing Si crystals.
In H. Emmerich and B. Nestler, editors, Interface and Transport Dynamics: Computational Modelling, Springer LNCSE, 32 (2003), 218-225

J. Wensch, H. Podhaisky, S. Hartmann:
Time integration of index 1 DAEs with Rosenbrock methods using Krylov subspace techniques, Proceedings in Applied Mathematics and Mechanics, (2003), 573-574

A. Voigt, K.-H. Hoffmann:
Asymptotic behavior of solutions to the Cahn-Hilliard Equation in spherically symmetric domains.
Applicable Analysis, 81 (2002), 893-903

A. Voigt, J. Nitschkowski, C. Weichmann, K.-H. Hoffmann:
Controlling point defects in single silicon crystal grown by the Czochralski method.
In M. Breuer, F. Durst, and C. Zenger (ed.), High Performance Scientific and Engineering Computing, Springer (2002), 229-236

A. Voigt, C. Weichmann, K.-H. Hoffmann:
Multiscale simulation of industrial crystal growth.
In A. Handlovicova, Z. Kriva, K. Mikula, and D. Sevcovic (ed.), ALGORITMY, Slovak University of Technology (2002), 1-13

C. Weichmann, J. Nitschkowski, K.-H. Hoffmann, A. Voigt:
Time dependent simulations of heat transfer in a Czochralski furnace. In B. Sunden and C.A. Brebbia (ed.), Heat Transfer VII: advanced computational methods in heat transfer, Wit Press (2002), 185-194

J. Wensch, F. Casas:
Extrapolation in Lie groups with approximated BCH-formula.
Appl. Num. Math., 42 (2002), 465-472

A. Voigt, K.-H. Hoffmann:
Control of Czochralski crystal growth.
In K.-H. Hoffmann, I. Lasieka, G. Leugering, J. Sprekels, and F. Tröltzsch (ed.), Optimal control of complex structures, ISNM International Series of Numerical Mathematics, Birkhäuser, 139 (2002), 259-266

B.-G. Wang, A. Voigt, Z.-P. Lu:
Effect of the temperature fluctuations of the melt on ß-BaB2O4 (BBO) crystal growth.
Crystal Research and Technology, 36 (2001), 1239-1246

A. Voigt, K.-H. Hoffmann:
Control of Czochralski crystal growth.
In K.-H. Hoffmann, I. Lasieka, G. Leugering, J. Sprekels, and F. Tröltzsch (ed.), Optimal control of complex structures, Birkhäuser (2001), 259-266

K.-H. Hoffmann, A. Voigt, B.-G. Wang, D. Wulff-Molder:
Simulation and control of industrial crystal growth of BaF2.
In B. Sarler and C.A. Brebbia (ed.), Moving boundaries VI: computational modelling of free and moving boundary problems, WIT Press (2001), 3-11

J. Wensch:
Extrapolation methods in Lie groups.
Numerische  Mathematik, 89 (2001), 591-604

B.-G. Wang, A. Voigt, Z.-P. Lu:
On the iso-diameter growth of BBO crystals by flux pulling method.
Crystal Research and Technology, 35 (2000), 1141-1149

H. Podhaisky, R. Weiner, J. Wensch:
High Order Explicit Two-Step Runge-Kutta Methods for Parallel Computers.
J. Computing and Information Technology, 8 (2000), 13-18