TY - JOUR
T1 - A survey on artificial boundary method
AU - Han, Hou De
AU - Wu, Xiao Nan
N1 - Funding Information:
Acknowledgements This work was was supported by National National Science Foundation of China (Grant No. 10971116) and FRG of Hong Kong Baptist University (Grant No. FRG1/11-12/051).
PY - 2013/12
Y1 - 2013/12
N2 - 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.
AB - 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.
KW - artificial boundary method
KW - discrete artificial boundary condition
KW - global artificial boundary condition
KW - implicit artificial boundary condition
KW - local artificial boundary condition
KW - nonlinear artificial boundary condition
UR - http://www.scopus.com/inward/record.url?scp=84895910850&partnerID=8YFLogxK
U2 - 10.1007/s11425-013-4694-x
DO - 10.1007/s11425-013-4694-x
M3 - Review article
AN - SCOPUS:84895910850
SN - 1674-7283
VL - 56
SP - 2439
EP - 2488
JO - Science China Mathematics
JF - Science China Mathematics
IS - 12
ER -