Robust a posteriori error analysis of the stochastic Cahn-Hilliard equation with rough noise
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866917152005554176 |
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| author | Banas, Lubomir Mukam, Jean Daniel |
| author_facet | Banas, Lubomir Mukam, Jean Daniel |
| contents | We derive a posteriori error estimate for a fully discrete adaptive finite element approximation of the stochastic Cahn-Hilliard equation with rough noise. The considered model is derived from the stochastic Cahn-Hilliard equation with additive space-time white noise through suitable spatial regularization of the white noise. The a posteriori estimate is robust with respect to the interfacial width parameter as well as the noise regularization parameter. We propose a practical adaptive algorithm for the considered problem and perform numerical simulations to illustrate the theoretical findings. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2512_15495 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Robust a posteriori error analysis of the stochastic Cahn-Hilliard equation with rough noise Banas, Lubomir Mukam, Jean Daniel Numerical Analysis We derive a posteriori error estimate for a fully discrete adaptive finite element approximation of the stochastic Cahn-Hilliard equation with rough noise. The considered model is derived from the stochastic Cahn-Hilliard equation with additive space-time white noise through suitable spatial regularization of the white noise. The a posteriori estimate is robust with respect to the interfacial width parameter as well as the noise regularization parameter. We propose a practical adaptive algorithm for the considered problem and perform numerical simulations to illustrate the theoretical findings. |
| title | Robust a posteriori error analysis of the stochastic Cahn-Hilliard equation with rough noise |
| topic | Numerical Analysis |
| url | https://arxiv.org/abs/2512.15495 |