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math.NA2024
Hierarchical Super-Localized Orthogonal Decomposition Method
Jose C. Garay, Hannah Mohr, Daniel Peterseim +1
We present the construction of a sparse-compressed operator that approximates the solution operator of elliptic PDEs with rough coefficients. To derive the compressed operator, we…
math.NA2024
Positivity preserving finite element method for the Gross-Pitaevskii ground state: discrete uniqueness and global convergence
Moritz Hauck, Yizhou Liang, Daniel Peterseim
We propose a positivity preserving finite element discretization for the nonlinear Gross-Pitaevskii eigenvalue problem. The method employs mass lumping techniques, which allow to t…