A fully discrete mixed finite element method for stochastic Keller-Segel is analyzed, but the claimed O(k^{1/2}+h+k^{-1/2}h^2) rate rests on an invalid expectation step.
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Analysis of fully discrete Crank-Nicolson finite element methods for a stochastic Keller-Segel chemotaxis system with gradient-type multiplicative noise
A fully discrete mixed finite element method for stochastic Keller-Segel is analyzed, but the claimed O(k^{1/2}+h+k^{-1/2}h^2) rate rests on an invalid expectation step.