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• W2157543896 abstract "We design an adaptive finite element method (AFEM) for mixed boundary value problems associated with the differential operator A-∇div in H(div, Ω). For A being a variable coefficient matrix with possible jump discontinuities, we provide a complete a posteriori error analysis which applies to both Raviart–Thomas ℝ𝕋 n and Brezzi–Douglas–Marini 𝔹𝔻𝕄 n elements of any order n in dimensions d = 2, 3. We prove a strict reduction of the total error between consecutive iterates, namely a contraction property for the sum of energy error and oscillation, the latter being solution-dependent. We present numerical experiments for ℝ𝕋 n with n = 0, 1 and 𝔹𝔻𝕄 1 which document the performance of AFEM and corroborate as well as extend the theory." @default.
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• W2157543896 date "2007-11-01" @default.
• W2157543896 modified "2023-10-01" @default.
• W2157543896 title "DESIGN AND CONVERGENCE OF AFEM IN H(DIV)" @default.
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• W2157543896 doi "https://doi.org/10.1142/s0218202507002492" @default.
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