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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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