A survey on artificial boundary method

Hou De Han, Xiaonan WU

Research output: Contribution to journalReview articlepeer-review

10 Citations (Scopus)

Abstract

The artificial boundary method is one of the most popular and effective numerical methods for solving partial differential equations on unbounded domains, with more than thirty years development. The artificial boundary method has reached maturity in recent years. It has been applied to various problems in scientific and engineering computations, and the theoretical issues such as the convergence and error estimates of the artificial boundary method have been solved gradually. This paper reviews the development and discusses different forms of the artificial boundary method.

Original languageEnglish
Pages (from-to)2439-2488
Number of pages50
JournalScience China Mathematics
Volume56
Issue number12
DOIs
Publication statusPublished - Dec 2013

Scopus Subject Areas

  • Mathematics(all)

User-Defined Keywords

  • artificial boundary method
  • discrete artificial boundary condition
  • global artificial boundary condition
  • implicit artificial boundary condition
  • local artificial boundary condition
  • nonlinear artificial boundary condition

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