A Posteriori Error Estimates of Residual Type for Second Order Quasi-Linear Elliptic PDEs
نویسنده
چکیده
where Ω is assumed to be a polygonal bounded domain in R2, f ∈ L2(Ω), and α is a bounded function which satisfies the strictly monotone assumption. We estimated the actual error in the H1-norm by an indicator η which is composed of L2norms of the element residual and the jump residual. The main result is divided into two parts; the upper bound and the lower bound for the error. Both of them are accompanied with the data oscillation and the α-approximation term emerged from nonlinearity. The design of the adaptive finite element algorithm were included accordingly.
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