# T:A:L:K:S

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 title: Domain decomposition strategies for the stochastic heat equation name: Carelli first name: Erich location/conference: SPDE09 PRESENTATION-link: http://www.dfg-spp1324.de/download/spde09/material/carelli.pdf abstract: We consider the numerical approximation of solutions of the stochastic, Hilbert space valued heat equation dX_t+AX_tdt=Q^{1/2}dW_t\qquad\forall{t}\in(0,T)\;\mbox{and}\;{X}_0\in{H}, with an elliptic operator $A:D(A)\rightarrow H$, and $Q:H\rightarrow{H}$ is the covariance operator of the driving Wiener process. We apply different domain decomposition algorithms based on explicit and implicit time stepping, paired with finite element and backward Euler discretisation to solve the problem, and give optimal strong and weak rates of convergence.