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arXiv · 2512.15495

Robust a posteriori error analysis of the stochastic Cahn-Hilliard equation with rough noise

Lubomir Banas·Jean Daniel Mukam
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Abstract

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.

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Lubomir Banas, Jean Daniel Mukam. 2025-12-17. Robust a posteriori error analysis of the stochastic Cahn-Hilliard equation with rough noise. https://arxiv.org/abs/2512.15495

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