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Creators/Authors contains: "Fernández, Miguel_A"

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  1. ; ; ; ; (, IMA Journal of Numerical Analysis)
    Abstract We consider a parabolic–parabolic interface problem and construct a loosely coupled prediction-correction scheme based on the Robin–Robin splitting method analyzed in [J. Numer. Math., 31(1):59–77, 2023]. We show that the errors of the correction step converge at $$\mathcal O((\varDelta t)^{2})$$, under suitable convergence rate assumptions on the discrete time derivative of the prediction step, where $$\varDelta t$$ stands for the time-step length. Numerical results are shown to support our analysis and the assumptions. 
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