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Two-Level Discretization Techniques for Ground State Computations of Bose-Einstein Condensates

Two-Level Discretization Techniques for Ground State Computations of Bose-Einstein Condensates

This work presents a new methodology for computing ground states of Bose--Einstein condensates based on finite element discretizations on two different scales of numerical resolution. In a preprocessing step, a low-dimensional (coarse) generalized finite element space is constructed. It is based on a local orthogonal decomposition of the solution space …