Least squares spectral element formulation of eigenvalue problems with/without interface : the one dimensional example
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866915218887540736 |
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| author | Garg, Himanshu Bertrand, Fleurianne Mohapatra, Subhashree |
| author_facet | Garg, Himanshu Bertrand, Fleurianne Mohapatra, Subhashree |
| contents | Here, we present a least-squares based spectral element formulation for one-dimensional eigenvalue problems with interface conditions. First we develop the method for without interface case, then we extend it to interface case. Convergence analysis for eigenvalues and eigenfunctions have been discussed. Numerical experiments with different jump conditions have been displayed. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_23567 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Least squares spectral element formulation of eigenvalue problems with/without interface : the one dimensional example Garg, Himanshu Bertrand, Fleurianne Mohapatra, Subhashree Numerical Analysis Here, we present a least-squares based spectral element formulation for one-dimensional eigenvalue problems with interface conditions. First we develop the method for without interface case, then we extend it to interface case. Convergence analysis for eigenvalues and eigenfunctions have been discussed. Numerical experiments with different jump conditions have been displayed. |
| title | Least squares spectral element formulation of eigenvalue problems with/without interface : the one dimensional example |
| topic | Numerical Analysis |
| url | https://arxiv.org/abs/2503.23567 |