A finite element method with mesh adaptivity for computing vortex states in fast-rotating Bose-Einstein condensates

@article{Danaila2010AFE,
  title={A finite element method with mesh adaptivity for computing vortex states in fast-rotating Bose-Einstein condensates},
  author={Ionut Danaila and Fr{\'e}d{\'e}ric Hecht},
  journal={J. Comput. Phys.},
  year={2010},
  volume={229},
  pages={6946-6960}
}
  • I. Danaila, F. Hecht
  • Published 2 February 2010
  • Mathematics, Computer Science, Physics
  • J. Comput. Phys.
Numerical computations of stationary states of fast-rotating Bose-Einstein condensates require high spatial resolution due to the presence of a large number of quantized vortices. In this paper we propose a low-order finite element method with mesh adaptivity by metric control, as an alternative approach to the commonly used high-order (finite difference or spectral) approximation methods. The mesh adaptivity is used with two different numerical algorithms to compute stationary vortex states… 
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