Higher Order Composite DG approximations of Gross– Pitaevskii ground state: Benchmark results and experiments (CROSBI ID 310192)
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Podaci o odgovornosti
Engstrom, Christian ; Giani, Stefano ; Grubišić, Luka
engleski
Higher Order Composite DG approximations of Gross– Pitaevskii ground state: Benchmark results and experiments
Discontinuous Galerkin composite finite element methods (DGCFEM) are designed to tackle approximation problems on complicated domains. Partial differential equations posed on complicated domain are common when there are mesoscopic or local phenomena which need to be modelled at the same time as macroscopic phenomena. In this paper, an optical lattice will be used to illustrate the performance of the approximation algorithm for the ground state computation of a Gross–Pitaevskii equation, which is an eigenvalue problem with eigenvector nonlinearity. We will adapt the convergence results of Marcati and Maday 2018 to this particular class of discontinuous approximation spaces and benchmark the performance of the classic symmetric interior penalty hp-adaptive algorithm against the performance of the hp- DGCFEM.
Gross–Pitaevskii eigenvalue problem ; Discontinuous Galerkin finite element approximations ; Composite finite elements
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Podaci o izdanju
400
2022.
113652
15
objavljeno
0377-0427
1879-1778
10.1016/j.cam.2021.113652