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Author

Hai-Jun Wu

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Preprint Oct 2026

A pure source transfer domain decomposition method for Helmholtz equations in 3D unbounded domain

We develop and analyze a three-dimensional pure source transfer domain decomposition method (PSTDDM) for the Helmholtz equation in free space. Extending the two-dimensional PSTDDM proposed by [Du and Wu, J. Sci. Comput., 83(2020),83:68], the proposed method transfers sources successively along the $x_1$, $x_2$, and $x_...

Xin-Ran Bai, Yu Du, Hai-Jun Wu · 0 citations
Open access Sep 2026

Adaptive FEM and CIPFEM for a nonlinear Helmholtz equation with high wave number

A nonlinear Helmholtz (NLH) equation with high frequencies and corner singularities is discretized by the linear finite element method (FEM) and the continuous interior penalty finite element method (CIPFEM). After deriving some wave-number-explicit stability estimates and the singularity decomposition for the NLH...

R. Jiang, Hai-Jun Wu, Yi-Feng Xu et al. · 0 citations

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