Robust Multiscale Methods for Helmholtz equations in high contrast heterogeneous media
Fuente:
arXiv
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866914860568150016 |
|---|---|
| author | Jin, Xingguang Ye, Changqing Chung, Eric T. |
| author_facet | Jin, Xingguang Ye, Changqing Chung, Eric T. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_04364 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Robust Multiscale Methods for Helmholtz equations in high contrast heterogeneous media Jin, Xingguang Ye, Changqing Chung, Eric T. Numerical Analysis 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. |
| title | Robust Multiscale Methods for Helmholtz equations in high contrast heterogeneous media |
| topic | Numerical Analysis |
| url | https://arxiv.org/abs/2407.04364 |