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math.NA2025
Two-level hybrid Schwarz Preconditioners for The Helmholtz Equation with high wave number
Peipei Lu, Xuejun Xu, Bowen Zheng +1
In this work, we propose and analyze two two-level hybrid Schwarz preconditioners for solving the Helmholtz equation with high wave number in two and three dimensions. Both precond…
math.NA2024
Adaptive Finite Element Method for a Nonlinear Helmholtz Equation with High Wave Number
Run Jiang, Haijun Wu, Yifeng Xu +1
A nonlinear Helmholtz (NLH) equation with high frequencies and corner singularities is discretized by the linear finite element method (FEM). After deriving some wave-number-explic…