kth Order convergence for a semilinear elliptic boundary value problem in the divergence form
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摘要
The convergence problem of approximate solutions for a semilinear elliptic boundary value problem in the divergence form is studied. By employing the method of quasilinearization, a sequence of approximate solutions converging with the kth (k ⩾ 2) order convergence to a weak solution for a semilinear elliptic problem is obtained via the variational approach.
论文关键词:Semilinear elliptic boundary value problem,Divergence form,Generalized quasilinearization,Variational approach,kth Order convergence
论文评审过程:Available online 23 March 2011.
论文官网地址:https://doi.org/10.1016/j.amc.2011.03.059