# 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} }

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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