Solution of Exterior Quasilinear Problems Using Elliptical Arc Artificial Boundary-Reference-Cited by-同舟云学术

Solution of Exterior Quasilinear Problems Using Elliptical Arc Artificial Boundary

Published:2021-07-07 Issue:14 Volume:9 Page:1598
ISSN:2227-7390
Container-title:Mathematics
language:en
Short-container-title:Mathematics

Author:

Chen Yajun^ORCID,Du Qikui

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.

Funder

National Natural Science Foundation of China

Publisher

MDPI AG

Subject

General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

Link

https://www.mdpi.com/2227-7390/9/14/1598/pdf

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