TY  - JOUR
AU  - Sutmann, G.
AU  - Steffen, B.
TI  - High-order compact solvers for the three-dimensional Poisson equation
JO  - Journal of Computational and Applied Mathematics
VL  - 187
SN  - 0377-0427
CY  - Amsterdam [u.a.]
PB  - North-Holland
M1  - PreJuSER-50776
SP  - 142 - 170
PY  - 2006
N1  - Record converted from VDB: 12.11.2012
AB  - New compact approximation schemes for the Laplace operator of fourth- and sixth-order are proposed. The schemes are based on a Pade approximation of the Taylor expansion for the discretized Laplace operator. The new schemes are compared with other finite difference approximations in several benchmark problems. It is found that the new schemes exhibit a very good performance and are highly accurate. Especially on large grids they outperform noncompact schemes. (c) 2005 Elsevier B.V. All rights reserved.
KW  - J (WoSType)
LB  - PUB:(DE-HGF)16
UR  - <Go to ISI:>//WOS:000233952800002
DO  - DOI:10.1016/j.cam.2005.03.041
UR  - https://juser.fz-juelich.de/record/50776
ER  -