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Convergence of finite element approximations for the one-dimensional stochastic Burgers equation with additive trace-class noise
This paper investigates finite element approximations of the one-dimensional viscous stochastic Burgers equation with additive trace-class noise. For the $P_2$ finite element spatial semi-discretization, we derive strong error estimates that are optimal with respect to regularity in \(L^p([0,T] \t
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