Error analysis of a fractional-step method for magnetohydrodynamics equations

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摘要

This paper focuses on a fractional-step finite element method for the magnetohydrodynamics problems in three-dimensional bounded domains. It is shown that the proposed fractional-step scheme allows for a discrete energy identity. A rigorous error analysis is presented. We derive the temporal and spatial error estimates of O(Δt+h) for the velocity and the magnetic field in the discrete space l2(H1)∩l∞(L2) under the constraint Δt≥Ch.

论文关键词:65M12,76W05,Magnetohydrodynamics equations,Fractional-step method,Stability,Temporal errors,Spatial errors

论文评审过程:Received 11 November 2015, Revised 21 June 2016, Available online 22 September 2016, Version of Record 4 October 2016.

论文官网地址:https://doi.org/10.1016/j.cam.2016.09.005

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