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• W2921291351 abstract "We derive residual‐based a posteriori error estimates of finite element method for linear wave equation with discontinuous coefficients in a two‐dimensional convex polygonal domain. A posteriori error estimates for both the space‐discrete case and for implicit fully discrete scheme are discussed in L ∞ ( L 2 ) norm. The main ingredients used in deriving a posteriori estimates are new Clément type interpolation estimates in conjunction with appropriate adaption of the elliptic reconstruction technique of continuous and discrete solutions. We use only an energy argument to establish a posteriori error estimates with optimal order convergence in the L ∞ ( L 2 ) norm." @default.
• W2921291351 created "2019-03-22" @default.
• W2921291351 creator A5018952031 @default.
• W2921291351 date "2019-03-07" @default.
• W2921291351 modified "2023-10-16" @default.
• W2921291351 title "A posteriori error estimates for finite element approximations to the wave equation with discontinuous coefficients" @default.
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• W2921291351 doi "https://doi.org/10.1002/num.22368" @default.
• W2921291351 hasPublicationYear "2019" @default.
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