Solution of Exterior Quasilinear Problems Using Elliptical Arc Artificial Boundary

Yajun Chen and Qikui Du
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Yajun Chen: School of Mathematical Sciences, Nanjing Normal University, Nanjing 210023, China
Qikui Du: School of Mathematical Sciences, Nanjing Normal University, Nanjing 210023, China

Mathematics, 2021, vol. 9, issue 14, 1-16

Abstract: In this paper, the method of artificial boundary conditions for exterior quasilinear problems in concave angle domains is investigated. Based on the Kirchhoff transformation, the exact quasiliner elliptical arc artificial boundary condition is derived. Using the approximate elliptical arc artificial boundary condition, the finite element method is formulated in a bounded region. The error estimates are obtained. The effectiveness of our method is showed by some numerical experiments.

Keywords: artificial boundary method; quasilinear problem; Kirchhoff transformation; elliptical arc; error estimates (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
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