Exact artificial boundary conditions for quasilinear elliptic equations in unbounded domains
Han, Houde ; Huang, Zhongyi ; Yin, Dongsheng
Commun. Math. Sci., Tome 6 (2008) no. 1, p. 71-82 / Harvested from Project Euclid
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To study the numerical solutions of quasilinear elliptic equations on unbounded domains in two or three dimensional cases, we introduce a circular or spherical artificial boundary. Based on the Kirchhoff transformation and the Fourier series expansion, the exact artificial boundary condition and a series of its approximations of the given quasilinear elliptic problem are presented. Then the original problem is equivalently or approximately reduced to a bounded computational domain. The well-posedness of the reduced problems are proved and the convergence results of our numerical solutions on bounded computational domain are given
Publié le : 2008-03-15
Classification:  quasilinear elliptic equation,  unbounded domain,  artificial boundary condition,  65N30,  35J65 
@article{1204905778,
     author = {Han, Houde and Huang, Zhongyi and Yin, Dongsheng},
     title = {Exact artificial boundary conditions for quasilinear elliptic equations in unbounded domains},
     journal = {Commun. Math. Sci.},
     volume = {6},
     number = {1},
     year = {2008},
     pages = { 71-82},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1204905778}
}

Han, Houde; Huang, Zhongyi; Yin, Dongsheng. Exact artificial boundary conditions for quasilinear elliptic equations in unbounded domains. Commun. Math. Sci., Tome 6 (2008) no. 1, pp.  71-82. http://gdmltest.u-ga.fr/item/1204905778/