Convergence of double step scheme for a class of parabolic Clarke subdifferential inclusions
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866914673304010752 |
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| author | Bartosz, Krzysztof Szafraniec, Paweł Zhao, Jing |
| author_facet | Bartosz, Krzysztof Szafraniec, Paweł Zhao, Jing |
| contents | In this paper we deal with a first order evolution inclusion involving a multivalued term generated by a Clarke subdifferential of a locally Lipschitz potential. For this problem we construct a double step time-semidiscrete approximation, known as the Rothe scheme. We study a sequence of solutions of the semidiscrete approximate problems and provide its weak convergence to a limit element that is a solution of the original problem. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_08656 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Convergence of double step scheme for a class of parabolic Clarke subdifferential inclusions Bartosz, Krzysztof Szafraniec, Paweł Zhao, Jing Numerical Analysis Analysis of PDEs In this paper we deal with a first order evolution inclusion involving a multivalued term generated by a Clarke subdifferential of a locally Lipschitz potential. For this problem we construct a double step time-semidiscrete approximation, known as the Rothe scheme. We study a sequence of solutions of the semidiscrete approximate problems and provide its weak convergence to a limit element that is a solution of the original problem. |
| title | Convergence of double step scheme for a class of parabolic Clarke subdifferential inclusions |
| topic | Numerical Analysis Analysis of PDEs |
| url | https://arxiv.org/abs/2401.08656 |