Strong convergence of finite element approximations for a fourth-order stochastic pseudo-parabolic equation with additive noise

Suprio Bhar; Mrinmay Biswas; Mangala Prasad

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arXiv · 2509.08453

Strong convergence of finite element approximations for a fourth-order stochastic pseudo-parabolic equation with additive noise

Suprio Bhar·Mrinmay Biswas·Mangala Prasad

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Abstract

In this article, we analyze semi-discrete finite element approximation and full discretization of a fourth-order stochastic pseudo-parabolic equation in a bounded convex polygonal domain driven by additive Wiener noise. We use the finite element method for spatial discretization and the semi-implicit method for temporal discretization, and obtain strong convergence rates with respect to both the spatial and temporal mesh sizes. Numerical experiments are presented to support the theoretical convergence rates.

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Suprio Bhar, Mrinmay Biswas, Mangala Prasad. 2025-09-10. Strong convergence of finite element approximations for a fourth-order stochastic pseudo-parabolic equation with additive noise. https://arxiv.org/abs/2509.08453

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