Robust Multiscale Methods for Helmholtz equations in high contrast heterogeneous media
<|reference_start|>Robust Multiscale Methods for Helmholtz equations in high contrast heterogeneous media: In this paper, we provide the constraint energy minimization generalized multiscale finite element method (CEM-GMsFEM) to solve Helmholtz equations in heterogeneous medium. This novel multiscale method is specifically designed to overcome problems related to pollution effect, high-contrast coefficients, and the loss of hermiticity of operators. We establish the inf-sup stability and give an a priori error estimate for this method under a number of established assumptions and resolution conditions. The theoretical results are validated by a set of numerical tests, which further show that the multiscale technique can effectively capture pertinent physical phenomena.<|reference_end|>
@article{jin2024robust,
    title={Robust Multiscale Methods for Helmholtz equations in high contrast
  heterogeneous media},
    author={Xingguang Jin and Changqing Ye and Eric T. Chung},
    journal={arXiv preprint arXiv:2407.04364},
    year={2024},
    archivePrefix={arXiv},
    eprint={2407.04364},
    primaryClass={math.NA cs.NA}
}