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Nonconforming finite element analysis of schistosomiasis mathematical model. (Chinese. English summary) Zbl 1438.92002

Summary: In the paper, a nonconforming finite element scheme was considered for schistosomiasis mathematical model. By using some special properties of the finite element interpolation and some techniques of error estimates, the optimal error estimates in \({L^2}\)-norm and some superclose results in \({H^1}\)-broken norm were derived without the projection operator. At the same time, based on the interpolated postprocessing trick, the global superconvergence result in \({H^1}\)-broken norm was obtained.

MSC:

92-08 Computational methods for problems pertaining to biology
65L60 Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations
65L20 Stability and convergence of numerical methods for ordinary differential equations
65L70 Error bounds for numerical methods for ordinary differential equations
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