Exact Artificial Boundary Conditions for Quasi-Linear Problems in Semi-Infinite Strips | Zendy

Ya Jun Chen | Zendy; Qikui Du | Zendy

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Exact Artificial Boundary Conditions for Quasi-Linear Problems in Semi-Infinite Strips

Author(s) -

Ya Jun Chen,

Qikui Du

Publication year - 2021

Publication title -

journal of mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.252

H-Index - 13

eISSN - 2314-4785

pISSN - 2314-4629

DOI - 10.1155/2021/1660711

Subject(s) - mathematics , strips , boundary value problem , boundary (topology) , transformation (genetics) , mathematical analysis , exact solutions in general relativity , boundary knot method , mixed boundary condition , singular boundary method , finite element method , boundary element method , algorithm , structural engineering , biochemistry , chemistry , engineering , gene

In this paper, the exact artificial boundary conditions for quasi-linear problems in semi-infinite strips are investigated. Based on the Kirchhoff transformation, the exact and approximate boundary conditions on a segment artificial boundary are derived. The error estimate for the finite element approximation with the artificial boundary condition is obtained. Some numerical examples show the efficiency of this method.

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