Mathematics (Jul 2021)

Solution of Exterior Quasilinear Problems Using Elliptical Arc Artificial Boundary

  • Yajun Chen,
  • Qikui Du

DOI
https://doi.org/10.3390/math9141598
Journal volume & issue
Vol. 9, no. 14
p. 1598

Abstract

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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