Publications

 

About AMDiS:

  • A. Voigt, T. Witkowski. A multi-mesh finite element method for lagrange elements of arbitrary degree, submitted (2010). pdf
  • A. Voigt, T. Witkowski. Hybrid parallelization of adaptive finite element code, Kybernetika 46 (2), (2010), 316 - 327. pdf
  • S. Vey, A. Voigt. AMDiS - adaptive multidimensional simulations, Comput. Vis. Sci. 10, (2007), 57 - 66. pdf
  • 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.

Where AMDiS was used for:

  • S. Praetorius, A. Voigt. A phase field crystal approach for particles in a flowing solvent, submitted (2011).
  • F. Hausser, S. Rasche, A. Voigt. Control of nanostructures through electric fields and related free boundary problems., submitted (2011).
  • S. Rasche, A. Voigt. Optimal control of geometric evolution laws - a phase field approach. submitted (2011).
  • C. Jäger, S. Praetorius, A. Voigt. Super-resolution of images using area preserving geometric evolution laws. submitted (2011).
  • Ch. 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) 359.
  • L. Blank, H. Garcke, L. Sarbu, T. Srisupattarawanit, V. Styles, A. Voigt. Phase-field approaches to structural topology optimization. accepted (2010).
  • C. Landsberg, A. Voigt. A multigrid finite element method for reaction-diffusion systems on surfaces. Comp. Vis. Sci. 2010, 13 (4) 177–185.
  • R. Backofen, A. Voigt. A phase-field-crystal approach to critical nuclei, J. Phys. Condens. Matter 22, (2010), 364104.
  • S. Aland, J. Lowengrub, A. Voigt. Two-phase flow in complex geometries: A diffuse domain approach. CMES 57 (1), (2010), 77-108.
  • 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 Research110 (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.
  • R.Backofen, A.Voigt. Solid-liquid interfacial energies and equilibrium shapes of nanocrystals, J. Phys. Condens. Matter 21 (2009), 464109.
  • X. Li, J. Lowengrub, A. Rätz, A. Voigt. Solving PDE's in complex geometries, Comm. Mat. 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.
  • 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.
  • M. Burger, C. Stöcker, A. Voigt. Finite element based level set methods for higher order flows, J.Sci. Comput. 35, (2008), 77-98.
  • 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.
  • 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.
  • A. Rätz, A. Voigt. Higher order regularization of anisotropic geometric evolution equations in three dimensions, J. Comp. Theor. Nanoscience 3, (2006), 560-573.
  • A. Rätz, A. Voigt. PDE’s on surfaces - diffuse interface approach, Comm. Math. Sci. 4, (2006), 575–590.
  • 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.