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• W2589552012 abstract "For elliptic interface problems in two and three dimensions, this paper studies a priori and residual-based a posteriori error estimations for the Crouzeix--Raviart nonconforming and the discontinuous Galerkin finite element approximations. It is shown that both the a priori and the a posteriori error estimates are robust with respect to the diffusion coefficient, i.e., constants in the error bounds are independent of the jump of the diffusion coefficient. The a priori estimates are also optimal with respect to local regularity of the solution. Moreover, we obtained these estimates with no assumption on the distribution of the diffusion coefficient." @default.
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• W2589552012 date "2017-01-01" @default.
• W2589552012 modified "2023-10-10" @default.
• W2589552012 title "Discontinuous Finite Element Methods for Interface Problems: Robust A Priori and A Posteriori Error Estimates" @default.
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• W2589552012 doi "https://doi.org/10.1137/16m1056171" @default.
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