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Solving the nonlinear Poisson-type problems with F-Trefftz hybrid finite element model

Wang, Hui; Qin, Qing Hua; Liang , Xing-Pei


A hybrid finite element model based on F-Trefftz kernels (fundamental solutions) is formulated for analyzing Dirichlet problems associated with two-dimensional nonlinear Poisson-type equations including nonlinear PoissonBoltzmann equation and diffusionreaction equation. The nonlinear force term in the Poisson-type equation is frozen by introducing the imaginary terms at each Picard iteration step, and then the induced Poisson problem is solved by the present hybrid finite element model...[Show more]

CollectionsANU Research Publications
Date published: 2012
Type: Journal article
Source: Engineering Analysis with Boundary Elements
DOI: 10.1016/j.enganabound.2011.04.008


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